Evaluating Expressions

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SSAT Middle Level: Quantitative › Evaluating Expressions

Questions 1 - 4
1

A recipe change used $m = 2s^2 + 1$; if $s = 3$ servings, find $m$.

13

19

21

37

Explanation

This question tests middle school algebra skills: evaluating expressions for given variable values. Evaluating expressions involves substituting specific numbers in place of variables and performing the operations indicated. Students should follow the order of operations: parentheses, exponents, multiplication and division, addition and subtraction (PEMDAS/BODMAS). In this question, students must evaluate the expression by substituting the provided values for each variable as indicated in the scenario. The correct answer is choice A because when the given values are substituted into the expression, it correctly calculates to 19. This demonstrates understanding of variable substitution and arithmetic operations. Choice B is incorrect because it results from misapplying the order of operations, perhaps by adding the exponent instead of applying it. To help students, emphasize practicing the substitution of values and reinforcing the order of operations through varied examples. Encourage checking work by re-evaluating the expression or using estimation to verify reasonableness.

2

A runner’s pace used $p = t/d$; if $t = 18$ and $d = 3$, evaluate $p$.

6

9

15

21

Explanation

This question tests middle school algebra skills: evaluating expressions for given variable values. Evaluating expressions involves substituting specific numbers in place of variables and performing the operations indicated. Students should follow the order of operations: parentheses, exponents, multiplication and division, addition and subtraction (PEMDAS/BODMAS). In this question, students must evaluate the expression by substituting the provided values for each variable as indicated in the scenario. The correct answer is choice B because when the given values are substituted into the expression, it correctly calculates to 6. This demonstrates understanding of variable substitution and arithmetic operations. Choice A is incorrect because it results from misapplying the order of operations, perhaps by adding t and d instead of dividing. To help students, emphasize practicing the substitution of values and reinforcing the order of operations through varied examples. Encourage checking work by re-evaluating the expression or using estimation to verify reasonableness.

3

A smoothie recipe used $m = 3s + 2$; if $s = 8$ servings, evaluate $m$.

20

22

26

34

Explanation

This question tests middle school algebra skills: evaluating expressions for given variable values. Evaluating expressions involves substituting specific numbers in place of variables and performing the operations indicated. Students should follow the order of operations: parentheses, exponents, multiplication and division, addition and subtraction (PEMDAS/BODMAS). In this question, students must evaluate the expression by substituting the provided values for each variable as indicated in the scenario. The correct answer is choice A because when the given values are substituted into the expression, it correctly calculates to 26. This demonstrates understanding of variable substitution and arithmetic operations. Choice B is incorrect because it results from misapplying the order of operations, perhaps by subtracting 2 instead of adding. To help students, emphasize practicing the substitution of values and reinforcing the order of operations through varied examples. Encourage checking work by re-evaluating the expression or using estimation to verify reasonableness.

4

A model box volume used $v = lwh$; if $l = 4$, $w = 3$, and $h = 2$, find $v$.

14

18

24

48

Explanation

This question tests middle school algebra skills: evaluating expressions for given variable values. Evaluating expressions involves substituting specific numbers in place of variables and performing the operations indicated. Students should follow the order of operations: parentheses, exponents, multiplication and division, addition and subtraction (PEMDAS/BODMAS). In this question, students must evaluate the expression by substituting the provided values for each variable as indicated in the scenario. The correct answer is choice B because when the given values are substituted into the expression, it correctly calculates to 24. This demonstrates understanding of variable substitution and arithmetic operations. Choice A is incorrect because it results from misapplying the order of operations, a common mistake when students add instead of multiplying all three variables. To help students, emphasize practicing the substitution of values and reinforcing the order of operations through varied examples. Encourage checking work by re-evaluating the expression or using estimation to verify reasonableness.