Grade 7 - Select a Category
Ratios and Proportional Relationships
7.1 Ratios and rate language - In multiple-choice items, students choose the interpretation of a ratio or rate that correctly matches a situation, including what each term represents and its units. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.4.1; TX 7.4(C); VA 7.CE.2)
7.2 Equivalent ratios and scaling - In multiple-choice items, students select an equivalent ratio or scale factor that keeps the same multiplicative relationship in a given context. (CCSS 7.RP.A.2; CA 7.RP.2; MA 7.RP.2; NY 7.RP.2; FL MA.7.AR.4.4; TX 7.4(D); VA 7.CE.2)
7.3 Unit rates with whole-number quantities - In multiple-choice items, students select the correct unit rate and the correct interpretation of that rate for a real-world scenario. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.4.2; TX 7.4(B); VA 7.CE.2)
7.4 Unit rates with ratios of fractions - In multiple-choice items, students choose the correct unit rate when the given quantities are fractions or mixed numbers. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.4.2; TX 7.4(B); VA 7.CE.2)
7.5 Unit rate comparison and best buys - In multiple-choice items, students select the best-buy choice and the unit-rate reasoning that supports it. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.3.1; TX 7.4(B); VA 7.CE.2)
7.6 Ratio, rate, and proportion word problems - In multiple-choice items, students choose the correct solution and strategy description for ratio and rate word problems. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.2; TX 7.4(D); VA 7.CE.2)
7.7 Proportion equations - In multiple-choice items, students select the correct proportion set-up and the correct missing-value result. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.2; TX 7.4(D); VA 7.CE.2)
7.8 Proportional relationships in tables - In multiple-choice items, students choose whether a table is proportional and select the evidence (such as a constant ratio) that supports the choice. (CCSS 7.RP.A.2a; CA 7.RP.2a; MA 7.RP.2a; NY 7.RP.2a; FL MA.7.AR.4.1; TX 7.4(A); VA 7.PFA.1)
7.9 Proportional relationships in graphs - In multiple-choice items, students select whether a graph is proportional and identify the graph feature (line through the origin) that makes it proportional. (CCSS 7.RP.A.2a; CA 7.RP.2a; MA 7.RP.2a; NY 7.RP.2a; FL MA.7.AR.4.1; TX 7.4(A); VA 7.PFA.1)
7.10 Proportional relationships in equations and descriptions - In multiple-choice items, students choose which equations or descriptions represent proportional relationships and which represent nonproportional (additive) relationships. (CCSS 7.RP.A.2a; CA 7.RP.2a; MA 7.RP.2a; NY 7.RP.2a; FL MA.7.AR.4.1; TX 7.4(A); VA 7.PFA.1)
7.11 Constant of proportionality from tables - In multiple-choice items, students select the correct constant of proportionality from a table and the correct contextual meaning of that constant. (CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1)
7.12 Constant of proportionality from graphs - In multiple-choice items, students choose the correct constant of proportionality from a graph and the correct unit-rate interpretation. (CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1)
7.13 Constant of proportionality from equations - In multiple-choice items, students select the value of k in a proportional equation and select the statement that correctly interprets k. (CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1)
7.14 Proportional equations from tables - In multiple-choice items, students choose the equation that matches a proportional table and the constant of proportionality it uses. (CCSS 7.RP.A.2c; CA 7.RP.2c; MA 7.RP.2c; NY 7.RP.2c; FL MA.7.AR.4.4; TX 7.4(A); VA 7.PFA.1)
7.15 Proportional equations from graphs - In multiple-choice items, students select the equation that matches a proportional graph and the correct value of k. (CCSS 7.RP.A.2c; CA 7.RP.2c; MA 7.RP.2c; NY 7.RP.2c; FL MA.7.AR.4.4; TX 7.4(A); VA 7.PFA.1)
7.16 Proportional equations from real-world contexts - In multiple-choice items, students select the proportional equation that represents a context and the correct solution for an unknown quantity. (CCSS 7.RP.A.2c; CA 7.RP.2c; MA 7.RP.2c; NY 7.RP.2c; FL MA.7.AR.4.5; TX 7.4(A); VA 7.PFA.1)
7.17 Graphing proportional relationships - In multiple-choice items, students select the correct graph for a proportional relationship and identify a point that correctly represents a contextual pair. (CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; FL MA.7.AR.4.3; TX 7.4(A); VA 7.PFA.1)
7.18 Interpreting graphs of proportional relationships - In multiple-choice items, students choose the statement that correctly interprets a point or slope on a proportional graph. (CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; FL MA.7.AR.4.4; TX 7.4(A); VA 7.PFA.1)
7.19 Comparing proportional relationships - In multiple-choice items, students select which relationship has the greater unit rate or constant of proportionality and choose the evidence that supports the comparison. (CCSS 7.RP.A.2; CA 7.RP.2; MA 7.RP.2; NY 7.RP.2; FL MA.7.AR.4.4; TX 7.4(D); VA 7.PFA.1)
7.20 Multi-step proportional reasoning and scaling - In multiple-choice items, students select the correct multi-step proportional solution and the intermediate step that correctly sets up the scaling. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.4.5; TX 7.4(D); VA 7.CE.2)
7.21 Percent concept and equivalence - In multiple-choice items, students select the correct equivalent form (percent, fraction, or decimal) for a given value. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.NSO.1.2; TX 7.4(D); VA 7.CE.2)
7.22 Visual percent models - In multiple-choice items, students choose the diagram that correctly models a percent situation and identify the missing value represented by the model. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.23 Percent of a quantity - In multiple-choice items, students select the correct percent-of-a-number result and the equation that represents the calculation. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.24 Finding the whole or the percent - In multiple-choice items, students choose the correct whole, part, or percent in a percent relationship and identify the matching equation. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.25 Percent increase and percent decrease - In multiple-choice items, students select the correct percent increase or decrease and the correct final value after the change. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.26 Original amount after percent change - In multiple-choice items, students select the correct original amount and the equation that correctly reverses a percent change. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.27 Sales tax, tip, and fees - In multiple-choice items, students choose the correct total cost (or missing rate) in tax, tip, and fee problems. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.28 Discounts, markups, and coupons - In multiple-choice items, students select the best deal and the correct computation (discount or markup) that supports the choice. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.2)
7.29 Simple interest in financial contexts - In multiple-choice items, students choose the correct simple-interest amount or total balance and identify the meaning of each variable in the formula. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.13(E); VA 7.CE.2)
7.30 Percent error and measurement accuracy - In multiple-choice items, students select the correct percent error and the statement that correctly describes whether a measurement is close to the accepted value. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.1)
Ratios and Proportional Relationships Mini Skills
7.31 Ratio tables and double number lines - In multiple-choice items, students select the correct completed ratio table or double number line and the missing value it implies. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.4.4; TX 7.4(A); VA 7.CE.2)
7.32 Choosing representations for proportional problems - In multiple-choice items, students choose the representation that best matches a proportional situation and select the justification that makes it correct. (CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; FL MA.7.AR.4.4; TX 7.4(A); VA 7.PFA.1)
7.33 Unit analysis and conversion factors - In multiple-choice items, students select the conversion factor or unit-canceling setup that correctly converts one unit to another. (CCSS 7.RP.A.1; CA 7.RP.1; MA 7.RP.1; NY 7.RP.1; FL MA.7.AR.3.3; TX 7.4(E); VA 7.CE.2)
7.34 Estimation and reasonableness in proportional contexts - In multiple-choice items, students select the best estimate for a proportional or percent situation and identify which answers are unreasonable. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.1; TX 7.4(D); VA 7.CE.1)
7.35 Error analysis in proportional reasoning - In multiple-choice items, students choose which step is wrong in a proportional solution and select the corrected step. (CCSS 7.RP.A.2; CA 7.RP.2; MA 7.RP.2; NY 7.RP.2; FL MA.7.AR.4.1; TX 7.4(A); VA 7.CE.2)
The Number System
7.36 Rational number sets and classification - In multiple-choice items, students select the correct classification of a number and the diagram that correctly shows subset relationships. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.1.2; TX 7.2(A); VA 7.NS.2)
7.37 Converting rational numbers between forms - In multiple-choice items, students select the correct equivalent form of a rational number (fraction, decimal, or percent) for a given situation. (CCSS 7.NS.A.3; CA 7.NS.3; MA 7.NS.3; NY 7.NS.3; FL MA.7.NSO.1.2; TX 7.2; VA 7.NS.2)
7.38 Comparing and ordering rational numbers - In multiple-choice items, students choose the correct ordering of rational numbers and the reasoning (such as number line position or common denominators) that supports it. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.1.2; TX 7.2(C); VA 7.NS.2)
7.39 Absolute value and opposite numbers - In multiple-choice items, students select the correct absolute value or opposite value and the correct contextual interpretation of that value. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.2.1; TX 7.2(B); VA 7.NS.2)
7.40 Integer addition and subtraction models - In multiple-choice items, students choose the model (counters or number line) that matches an integer sum or difference and select the correct result. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.2.2; TX 7.3(B); VA 7.CE.1)
7.41 Integer addition and subtraction fluency - In multiple-choice items, students select the correct value of an integer sum or difference and identify a correct rule-based explanation. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.2.2; TX 7.3(A); VA 7.CE.1)
7.42 Integer multiplication and division models - In multiple-choice items, students select the correct sign and value of an integer product or quotient and choose the model or pattern that supports the rule. (CCSS 7.NS.A.2; CA 7.NS.2; MA 7.NS.2; NY 7.NS.2; FL MA.7.NSO.2.2; TX 7.3(B); VA 7.CE.1)
7.43 Integer multiplication and division fluency - In multiple-choice items, students choose the correct product or quotient of integers and the correct contextual meaning (increase or decrease). (CCSS 7.NS.A.2; CA 7.NS.2; MA 7.NS.2; NY 7.NS.2; FL MA.7.NSO.2.2; TX 7.3(A); VA 7.CE.1)
7.44 Adding and subtracting rational numbers - In multiple-choice items, students select the correct sum or difference of rational numbers and the correct strategy description (common denominators or place value). (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.2.2; TX 7.3(A); VA 7.CE.1)
7.45 Multiplying and dividing rational numbers - In multiple-choice items, students select the correct product or quotient of rational numbers and the correct explanation using reciprocals or sign rules. (CCSS 7.NS.A.2; CA 7.NS.2; MA 7.NS.2; NY 7.NS.2; FL MA.7.NSO.2.2; TX 7.3(B); VA 7.CE.1)
7.46 Four operations with rational numbers in context - In multiple-choice items, students choose the correct answer for a rational-number word problem and identify which operations are needed. (CCSS 7.NS.A.3; CA 7.NS.3; MA 7.NS.3; NY 7.NS.3; FL MA.7.NSO.2.3; TX 7.3(B); VA 7.CE.1)
7.47 Order of operations with rational numbers - In multiple-choice items, students select the correct value of a multi-step numerical expression and identify the correct order-of-operations step. (CCSS 7.EE.B.3; CA 7.EE.3; MA 7.EE.3; NY 7.EE.3; FL MA.7.NSO.2.1; TX 7.3; VA 7.PFA.2)
7.48 Whole-number exponents in numerical expressions - In multiple-choice items, students select the correct value of an expression with exponents and choose which use of parentheses makes the meaning correct. (CCSS 7.EE.B.3; CA 7.EE.3; MA 7.EE.3; NY 7.EE.3; FL MA.7.NSO.2.1; VA 7.PFA.2)
7.49 Laws of exponents with rational bases - In multiple-choice items, students choose the equivalent expression that correctly applies a law of exponents and select the simplified value when appropriate. (FL MA.7.NSO.1.1; VA 7.NS.1)
7.50 Powers of ten and place value - In multiple-choice items, students select the correct power of ten representation or the correct decimal result after multiplying or dividing by a power of ten. (FL MA.7.NSO.1.1; VA 7.NS.1)
7.51 Negative exponents for powers of ten - In multiple-choice items, students select the correct fraction or decimal form of a power of ten with a negative exponent. (VA 7.NS.1.a; VA 7.NS.1.b; FL MA.7.NSO.1.1)
7.52 Scientific notation conversions - In multiple-choice items, students select the correct scientific notation for a given number or the correct decimal form for a given scientific notation. (VA 7.NS.1.c; VA 7.NS.1.d)
7.53 Scientific notation comparisons - In multiple-choice items, students choose which of two numbers in scientific notation is greater and select the ordering of a set of numbers. (VA 7.NS.1.d)
7.54 Estimation and rounding with rational numbers - In multiple-choice items, students select the best estimate or identify which exact answer is unreasonable based on rounding and benchmarks. (CCSS 7.EE.B.3; CA 7.EE.3; MA 7.EE.3; NY 7.EE.3; FL MA.7.NSO.2.3; VA 7.CE.1)
7.55 Coordinate plane with rational numbers - In multiple-choice items, students select the correct coordinate for a point shown on a grid or choose the point that matches a given ordered pair.
7.56 Distance between points aligned to axes - In multiple-choice items, students select the correct distance between two points that share an x-coordinate or y-coordinate.
7.57 Properties of operations in numerical expressions - In multiple-choice items, students select the expression that is equivalent after applying a property of operations and identify which property was used. (CCSS 7.EE.A.1; CA 7.EE.1; MA 7.EE.1; NY 7.EE.1; FL MA.7.NSO.2.1; VA 7.PFA.2)
7.58 Additive and multiplicative inverses - In multiple-choice items, students select the additive inverse or reciprocal of a number and choose the statement that explains why the result is 0 or 1. (CCSS 7.NS.A.1; CCSS 7.NS.A.2; FL MA.7.NSO.2.2; TX 7.3(B); VA 7.CE.1)
7.59 Complex fractions and rational division in context - In multiple-choice items, students select the simplified value of a complex fraction and identify the rate it represents in context. (CCSS 7.RP.A.1; CCSS 7.NS.A.2; FL MA.7.NSO.2.2; TX 7.4(B); VA 7.CE.2)
7.60 Calculator use, precision, and repeating decimals - In multiple-choice items, students select an appropriate rounded value, identify a repeating decimal, or choose when an exact fraction is the better representation. (FL MA.7.NSO.1.2; VA 7.CE.1)
The Number System Mini Skills
7.61 Number-line representations of rational numbers - In multiple-choice items, students select the point on a number line that represents a given rational number or choose the number represented by a marked point. (CCSS 7.NS.A.1; CA 7.NS.1; MA 7.NS.1; NY 7.NS.1; FL MA.7.NSO.1.2; TX 7.2(C); VA 7.NS.2)
7.62 Integer chips and zero pairs - In multiple-choice items, students choose the chip model that matches an integer operation and select the resulting value. (CCSS 7.NS.A.1; FL MA.7.NSO.2.2; TX 7.3; VA 7.CE.1)
7.63 Sign and magnitude reasoning before computing - In multiple-choice items, students select whether an answer should be positive, negative, or zero before calculating, and choose which result is reasonable. (CCSS 7.NS.A.2; FL MA.7.NSO.2.2; VA 7.CE.1)
7.64 Reasonableness checks for rational computations - In multiple-choice items, students select which computed result is reasonable and identify which option shows an error. (CCSS 7.NS.A.3; FL MA.7.NSO.2.3; VA 7.CE.1)
7.65 Common misconceptions with negatives and exponents - In multiple-choice items, students select the correct value for expressions with negatives and exponents and choose which expression matches a given value. (FL MA.7.NSO.2.1; VA 7.PFA.2)
Expressions and Equations
7.66 Variables, coefficients, and constants - In multiple-choice items, students select which part of an expression represents the coefficient, constant, or variable and choose the correct contextual interpretation. (CCSS 7.EE.A.2; CA 7.EE.2; MA 7.EE.2; NY 7.EE.2; FL MA.7.AR.1.1; VA 7.PFA.2)
7.67 Translating words to algebraic expressions - In multiple-choice items, students choose the expression that correctly matches a verbal description, including correct placement of parentheses. (CCSS 7.EE.A.2; CA 7.EE.2; MA 7.EE.2; NY 7.EE.2; FL MA.7.AR.1.1; VA 7.PFA.2)
7.68 Expressions for real-world situations - In multiple-choice items, students select the expression that correctly represents a real-world situation and identify what each term means. (CCSS 7.EE.A.2; FL MA.7.AR.1.1; VA 7.PFA.2)
7.69 Evaluating algebraic expressions - In multiple-choice items, students choose the correct value of an expression for a given set of replacement values. (CCSS 7.EE.A.2; FL MA.7.NSO.2.1; VA 7.PFA.2)
7.70 Terms and like terms - In multiple-choice items, students select which terms are like terms and which simplification correctly combines them. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.71 Adding and subtracting linear expressions - In multiple-choice items, students select the simplified result of adding or subtracting two linear expressions. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.72 Combining like terms to simplify expressions - In multiple-choice items, students choose the correctly simplified form of a linear expression and identify a common sign or coefficient error. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.73 Distributive property and expanding expressions - In multiple-choice items, students select the correctly expanded form of an expression and identify which distribution step is correct. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.74 Factoring linear expressions - In multiple-choice items, students choose the factored form of a linear expression and identify the common factor used. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.75 Determining whether expressions are equivalent - In multiple-choice items, students select whether two expressions are equivalent and choose the reasoning (simplify or evaluate) that confirms the decision. (CCSS 7.EE.A.2; FL MA.7.AR.1.2; VA 7.PFA.2)
7.76 Expressions, equations, and inequalities - In multiple-choice items, students select whether a given statement is an expression, equation, or inequality and choose the correct meaning of a solution. (CCSS 7.EE.B.4; FL MA.7.AR.2; TX 7.10; VA 7.PFA.4)
7.77 One-step equations in context - In multiple-choice items, students choose the equation that represents a one-step situation and select the correct value of the variable. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.10(A); VA 7.PFA.4)
7.78 Two-step equations with rational numbers - In multiple-choice items, students select the correct solution to a two-step equation and choose the correct inverse-operation sequence. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(A); VA 7.PFA.4)
7.79 Multi-step equations with distribution and combining like terms - In multiple-choice items, students select the correct solution to a multi-step equation and identify the correctly simplified intermediate step. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(A); VA 7.PFA.4)
7.80 Checking solutions to equations - In multiple-choice items, students choose which value is a correct solution and select the step where an incorrect solution goes wrong. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(B); VA 7.PFA.4)
7.81 Multi-step real-world equation problems - In multiple-choice items, students choose the equation that models a context and select the correct final answer with correct units. (CCSS 7.EE.B.3; CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(A); VA 7.CE.1)
7.82 Inequalities and solution sets - In multiple-choice items, students select the inequality that matches a constraint and choose which values belong to its solution set. (CCSS 7.EE.B.4b; FL MA.7.AR.2.1; TX 7.10(A); VA 7.PFA.4)
7.83 One-step inequalities and number-line graphs - In multiple-choice items, students choose the correct solution to a one-step inequality and select the correct number-line graph of the solution set. (CCSS 7.EE.B.4b; FL MA.7.AR.2.1; TX 7.10(B); VA 7.PFA.4)
7.84 Two-step inequalities - In multiple-choice items, students select the correct solution set for a two-step inequality and choose the matching number-line graph. (CCSS 7.EE.B.4b; TX 7.11(A); VA 7.PFA.4)
7.85 Inequalities with negative multipliers - In multiple-choice items, students choose whether an inequality sign should reverse in a given step and select the correct final inequality. (CCSS 7.EE.B.4b; VA 7.PFA.4.b)
7.86 Inequality word problems and constraints - In multiple-choice items, students select the inequality that models a word problem and choose the correct interpretation of the solution in context. (CCSS 7.EE.B.4b; FL MA.7.AR.2.1; TX 7.10(C); VA 7.PFA.4)
7.87 Equations for angle relationships - In multiple-choice items, students select the equation that matches an angle diagram and choose the correct value of an unknown angle. (CCSS 7.G.B.5; CA 7.G.5; MA 7.G.5; NY 7.G.5; TX 7.11(C))
7.88 Equations from formulas - In multiple-choice items, students select the correct rearranged formula or the correct value of the missing variable in a formula-based problem. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(C); VA 7.PFA.4)
7.89 Independent and dependent variables in tables and graphs - In multiple-choice items, students select which variable is independent or dependent in a situation and choose the statement that correctly interprets a table or graph. (CCSS 7.RP.A.2; FL MA.7.AR.4.4; TX 7.7(A); VA 7.PFA.1)
Expressions and Equations Mini Skills
7.91 Balance models and algebra tiles - In multiple-choice items, students select the model that matches an equation and choose the next valid move that keeps the equation balanced. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; VA 7.PFA.4)
7.92 Distributing negatives and subtracting expressions - In multiple-choice items, students select the correctly simplified result of subtracting or distributing through parentheses that include negatives. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; VA 7.PFA.2)
7.93 Translating multi-step word problems to algebra - In multiple-choice items, students choose the algebraic model (expression/equation/inequality) that correctly represents a multi-step context. (CCSS 7.EE.B.3; CCSS 7.EE.B.4; FL MA.7.AR.2; TX 7.10(A); VA 7.CE.1)
7.94 Error analysis in algebraic reasoning - In multiple-choice items, students select the first incorrect step in a worked solution and choose the corrected step. (CCSS 7.EE.A.1; CCSS 7.EE.A.2; FL MA.7.AR.1.2; VA 7.PFA.2)
Geometry
7.96 Scale drawings and scale factors - In multiple-choice items, students select the correct scale factor or the correct actual or drawing measurement from a scale-drawing scenario. (CCSS 7.G.A.1; CA 7.G.1; MA 7.G.1; NY 7.G.1; FL MA.7.GR.1.5; TX 7.5(C))
7.97 Area scaling with scale factor - In multiple-choice items, students choose the correct area scale factor (k squared) and the correct scaled area for similar figures. (CCSS 7.G.A.1; FL MA.7.GR.1.5; TX 7.5(C))
7.98 Constructing scale drawings - In multiple-choice items, students select the correctly constructed scale drawing or the correct missing dimension using a given scale. (CCSS 7.G.A.1; FL MA.7.GR.1.5; TX 7.5(C))
7.99 Triangle constructions from conditions - In multiple-choice items, students select which triangle can be constructed from given measurements and choose whether the construction is unique or impossible. (CCSS 7.G.A.2; CA 7.G.2; MA 7.G.2; NY 7.G.2)
7.100 Triangle inequality and feasibility - In multiple-choice items, students choose whether a set of lengths can form a triangle and select the inequality statement that supports the decision.
7.101 Angle types and relationships - In multiple-choice items, students select the relationship that describes a pair of angles in a diagram (for example, vertical or supplementary). (CCSS 7.G.B.5; CA 7.G.5; MA 7.G.5; NY 7.G.5; TX 7.11(C))
7.102 Unknown angles in multi-step diagrams - In multiple-choice items, students select the correct value of an unknown angle in a multi-step diagram and choose the correct equation that represents the relationships. (CCSS 7.G.B.5; TX 7.11(C))
7.103 Angle sums in triangles and quadrilaterals - In multiple-choice items, students choose the correct missing angle measure using triangle or quadrilateral angle-sum reasoning. (CCSS 7.G.B.5; TX 7.11(C))
7.104 Parts of a circle and pi - In multiple-choice items, students select the correct circle part (radius, diameter, or circumference) and choose a correct statement about pi. (CCSS 7.G.B.4; FL MA.7.GR.1.3; TX 7.5(B))
7.105 Circumference of circles - In multiple-choice items, students select the correct circumference of a circle and choose whether an exact or approximate form is appropriate. (CCSS 7.G.B.4; FL MA.7.GR.1.3; TX 7.9(B))
7.106 Area of circles and fractional parts - In multiple-choice items, students select the correct area of a circle (or a fraction of a circle) and choose the correct unit interpretation. (CCSS 7.G.B.4; FL MA.7.GR.1.4; TX 7.9(B))
7.107 Area formulas for common polygons - In multiple-choice items, students select the correct area for a given polygon and choose the decomposition or formula that matches the figure. (CCSS 7.G.B.6; FL MA.7.GR.1.1; TX 7.9(C))
7.108 Area of composite figures - In multiple-choice items, students choose the correct total area of a composite figure and select which sub-areas should be added or subtracted. (CCSS 7.G.B.6; FL MA.7.GR.1.2; TX 7.9(C))
7.109 Surface area with nets for prisms and pyramids - In multiple-choice items, students select the net that matches a 3D figure or choose the correct surface area based on a given net. (CCSS 7.G.B.6; TX 7.9(D))
7.110 Surface area of right circular cylinders - In multiple-choice items, students select the correct surface area of a cylinder and identify the net pieces (two circles and a rectangle) that create it. (CCSS 7.G.B.6; FL MA.7.GR.2.1; FL MA.7.GR.2.2)
7.111 Volume using base area times height for prisms - In multiple-choice items, students select the correct volume of a prism and choose the correct base area and height used in the calculation. (CCSS 7.G.B.6; TX 7.9(A))
7.112 Volume of right circular cylinders - In multiple-choice items, students select the correct volume of a cylinder and choose the correct unit (cubic units) interpretation. (CCSS 7.G.B.6; FL MA.7.GR.2.3)
7.113 Connecting volume to base area times height - In multiple-choice items, students select the statement that correctly explains why volume equals base area times height for a prism or cylinder. (CCSS 7.G.B.6)
7.114 Cross sections of three-dimensional figures - In multiple-choice items, students select the correct cross-section shape (for example, rectangle or circle) formed by a described slice. (CCSS 7.G.A.3; CA 7.G.3; MA 7.G.3; NY 7.G.3)
7.115 Coordinate plane geometry for axis-aligned figures - In multiple-choice items, students choose the correct perimeter or area of an axis-aligned shape drawn on a coordinate grid and select the coordinate information used.
Geometry Mini Skills
7.116 Measurement tools and precision - In multiple-choice items, students select the correct measured value from a diagram and choose the most appropriate unit and level of precision.
7.117 Diagram interpretation and labeling - In multiple-choice items, students select the correctly labeled diagram for a word problem and identify which labeled quantity is needed to solve it.
7.118 Common geometry misconceptions and corrections - In multiple-choice items, students choose which statement describes an error in a solution and select the corrected step or unit.
Statistics and Probability
7.120 Statistical questions and variability - In multiple-choice items, students select which questions are statistical and choose the explanation that mentions variability and multiple possible answers. (CCSS 7.SP.A.1; CA 7.SP.1; MA 7.SP.1; NY 7.SP.1; FL MA.7.DP.1.1; TX 7.12; VA 7.PS.2)
7.121 Populations, samples, and random sampling - In multiple-choice items, students choose the population and sample in a scenario and select which sampling method is most likely to be unbiased. (CCSS 7.SP.A.1; CCSS 7.SP.A.2; FL MA.7.DP.1.3; TX 7.12(B); VA 7.PS.2)
7.122 Planning data collection and recognizing bias - In multiple-choice items, students select which plan produces the least biased data and identify which feature of a plan creates bias. (CCSS 7.SP.A.1; CCSS 7.SP.A.2; VA 7.PS.2)
7.123 Using samples to make inferences - In multiple-choice items, students select the inference that is supported by sample data and choose an appropriate statement about sampling error. (CCSS 7.SP.A.2; FL MA.7.DP.1.3; TX 7.12(B); VA 7.PS.2)
7.124 Dot plots and line plots - In multiple-choice items, students select the correct conclusion from a dot plot (such as the most common range) and identify features like clusters or outliers. (CCSS 7.SP.B.3; FL MA.7.DP.1.1; TX 7.12(A); VA 7.PS.2)
7.125 Histograms and interval choices - In multiple-choice items, students choose the correct interpretation of a histogram and select how an interval change would alter the graph. (CCSS 7.SP.B.3; FL MA.7.DP.1.1; VA 7.PS.2.d; VA 7.PS.2.e; TX 7.12(A))
7.126 Box plots and five-number summary - In multiple-choice items, students select the median, quartiles, or interquartile range from a box plot and choose which data set has greater spread. (CCSS 7.SP.B.3; CCSS 7.SP.B.4; FL MA.7.DP.1.1; TX 7.12(A))
7.127 Choosing an appropriate data display - In multiple-choice items, students select the best graph type for a data set and choose a justification based on the type of data and the question being asked. (CCSS 7.SP.B.3; FL MA.7.DP.1.5; VA 7.PS.2.f; TX 7.12(A))
7.128 Measures of center: mean and median - In multiple-choice items, students select the mean or median for a data set and choose which measure of center best represents the data in context. (CCSS 7.SP.B.4; FL MA.7.DP.1.1; TX 7.12(A))
7.129 Measures of variability: range and interquartile range - In multiple-choice items, students select the correct range or interquartile range and choose the interpretation that matches the computed spread. (CCSS 7.SP.B.4; FL MA.7.DP.1.1; TX 7.12(A))
7.130 Mean absolute deviation - In multiple-choice items, students select the mean absolute deviation for a data set and choose which data set is more variable based on MAD. (CCSS 7.SP.B.4)
7.131 Comparing two data sets by center and spread - In multiple-choice items, students select which group has a higher typical value or greater variability and choose evidence from centers and spreads. (CCSS 7.SP.B.3; CCSS 7.SP.B.4; FL MA.7.DP.1.2; TX 7.12(A))
7.132 Interpreting data in context - In multiple-choice items, students choose the statement that correctly interprets a statistic or graph feature in context, including units. (CCSS 7.SP.B.4; FL MA.7.DP.1.2)
7.133 Circle graphs and proportional reasoning - In multiple-choice items, students select the correct sector size or percent in a circle graph and choose the correct part-to-whole interpretation. (FL MA.7.DP.1.4; TX 7.6(G); CCSS 7.RP.A.3)
7.134 Probability as a number from zero to one - In multiple-choice items, students select which event is more likely based on given probabilities and choose the correct interpretation of probability values near 0 or 1. (CCSS 7.SP.C.5; FL MA.7.DP.2.2; VA 7.PS.1; TX 7.6(I))
7.135 Sample space for simple experiments - In multiple-choice items, students select the correct sample space or the correct count of outcomes for a simple experiment. (FL MA.7.DP.2.1; CCSS 7.SP.C.8a; TX 7.6(I); VA 7.PS.1)
7.136 Theoretical probability of simple events - In multiple-choice items, students select the correct theoretical probability of an event and choose an equivalent probability form. (FL MA.7.DP.2.3; CCSS 7.SP.C.6; TX 7.6(I); VA 7.PS.1.a)
7.137 Experimental probability and simulation - In multiple-choice items, students select the experimental probability from trial data and choose which conclusion best compares experimental and theoretical probabilities. (FL MA.7.DP.2.4; CCSS 7.SP.C.6; TX 7.6(H); VA 7.PS.1)
7.138 Probability models and fairness - In multiple-choice items, students select the probability model that matches a situation and choose whether a game is fair based on expected outcomes. (CCSS 7.SP.C.7; TX 7.6(H); VA 7.PS.1)
7.139 Compound events using organized lists and tables - In multiple-choice items, students select the correct probability of a compound event using a list or table of outcomes. (CCSS 7.SP.C.8a; TX 7.6(I))
7.140 Compound events using tree diagrams - In multiple-choice items, students select the correct tree diagram for an experiment and choose the correct probability computed from the branches. (CCSS 7.SP.C.8b)
7.141 Independent and dependent events - In multiple-choice items, students select whether events are independent or dependent and choose the correct probability expression for the situation. (CCSS 7.SP.C.8; TX 7.6(I))
7.142 Expected frequency and long-run predictions - In multiple-choice items, students select the expected frequency for an event over many trials and choose the correct interpretation of what “expected” means. (CCSS 7.SP.C.6; FL MA.7.DP.2.4)
7.143 Multi-step real-world problems with data and chance - In multiple-choice items, students choose the correct answer to a multi-step problem that integrates statistics and probability and select the evidence used (graph feature or computed statistic). (CCSS 7.SP.B.4; CCSS 7.SP.C.8; FL MA.7.DP.1.2; FL MA.7.DP.2.4; TX 7.12(A))
Statistics and Probability Mini Skills
7.144 Two-way tables for categorical data - In multiple-choice items, students select values from a two-way table (totals or relative frequencies) and choose conclusions supported by the table.
7.145 Bias and misleading graphs - In multiple-choice items, students choose which graph is misleading and select the feature that causes the misleading impression, then choose a corrected version. (CCSS 7.SP.A.1; CCSS 7.SP.A.2; FL MA.7.DP.1.5)
7.146 Technology tools for data and simulation - In multiple-choice items, students interpret calculator or spreadsheet outputs (mean, median, or graph) and select conclusions that match the displayed results.
7.147 Communicating conclusions with evidence - In multiple-choice items, students select which claim is best supported by the data and choose the statistic or graph feature that provides the strongest evidence. (CCSS 7.SP.B.3; CCSS 7.SP.B.4; FL MA.7.DP.1.2)
Spiral Reviews
Mixed skills review — one question per standard
Practice Tests
Full tests — answer all questions, get a final score