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Exam Prep Power Up

A comprehensive review lesson for the 7th Grade Math Interim Assessment 3, covering rational numbers, expressions, equations, proportions, percents, and circles.

SASamuelo Ayo

Math Masters Review Worksheet

IA 3 Review Quest

NY Grade 7 Math • Mastery Practice

Name:

Date:

Mission: Solve these 15 challenge problems to prepare for your IA 3. Show all your work in the spaces provided below.

1

Evaluate the expression below:

\[ -2\frac{2}{3} - 1.25 + \frac{5}{6} \]

A $ -3\frac{1}{12} $

B $ 2\frac{1}{4} $

C $ -2\frac{1}{4} $

D $ -4\frac{3}{4} $

Workspace

2

Which expression is equivalent to $ \frac{2}{5}(15x - 30y) + 10x $?

A $ 6x - 12y + 10x $

B $ 6x - 30y + 10x $

C $ 16x - 12y $

D $ 15(x - 2y) + 10x $

Workspace

3

The cost of animal crackers is directly proportional to the number of boxes purchased. Jerri paid $5.04 for 12 boxes. Which equation represents the relationship between the price, $ p $, and the number of boxes, $ n $?

A $ p = 0.42n $

B $ p = 2.52n $

C $ p = 6n $

D $ p = 15.12n $

Workspace

4

A diver starts 15.5 feet above the water on a platform. She dives and reaches a depth of 22.8 feet below the surface. What is the total distance, in feet, of her dive?

A $ 7.3 $ feet

B $ 38.3 $ feet

C $ -7.3 $ feet

D $ -38.3 $ feet

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5

A camera originally priced at $450 is on sale for 40% off. After the sale, the discounted price is increased by 40%. What is the new price of the camera?

A $ \$252 $

B $ \$360 $

C $ \$378 $

D $ \$450 $

Workspace

6

If $ \frac{1}{2} $ of a gallon of paint covers $ \frac{1}{6} $ of a wall, how many gallons are needed for the entire wall?

A $ \frac{1}{12} $ gallon

B $ \frac{1}{3} $ gallon

C $ 3 $ gallons

D $ 12 $ gallons

Workspace

7

Notebooks are on sale for 78% off the regular price, $ n $. Which expression does NOT represent the sale price?

A $ n - 0.22n $

B $ 0.22n $

C $ n - 0.78n $

D $ (1 - 0.78)n $

Workspace

8

A fire department spent $900 on equipment, including a 6% sales tax. What was the price of the equipment, to the nearest dollar, before tax?

A $ \$846 $

B $ \$849 $

C $ \$954 $

D $ \$894 $

Workspace

9

A circular dartboard has a diameter of 10 inches. What is the area of the dartboard to the nearest hundredth of a square inch?

A $ 31.40 $

B $ 78.50 $

C $ 314.16 $

D $ 15.70 $

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10

Piper earns an hourly rate plus 16% commission. In one week, he worked 20 hours, sold $1,500 of equipment, and his paycheck was $365. What is Piper's hourly rate?

A $ \$6.25 $

B $ \$7.50 $

C $ \$13.56 $

D $ \$18.25 $

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11

Marisol paid $3.00 for $ \frac{2}{5} $ pounds of turkey meat. What was the price per pound?

A $ \$1.20 $

B $ \$3.40 $

C $ \$6.50 $

D $ \$7.50 $

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12

Jake walked around a square with side length $ n $ and then an additional 20 feet. Who walked the same distance?

A Sarah: straight distance of $ n + 20 $ feet

B Jules: rectangular room $ n $ wide by $ 10 $ long

C Billy: square lot measuring $ 20 $ feet on each side

D Nancy: square garden with sides $ n + 5 $ feet

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13

What is the solution to the equation shown below?

\[ -\frac{3}{4}x + \frac{1}{2} = \frac{13}{2} \]

A $ -8 $

B $ -\frac{28}{3} $

C $ -\frac{9}{2} $

D $ -\frac{1}{8} $

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14

A chip currently costs $3.80 and is projected to increase by 124%. What will be the new projected cost?

A $ \$4.71 $

B $ \$0.91 $

C $ \$8.51 $

D $ \$3.06 $

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15

Which of the following represents a proportional relationship?

A A line on a graph passing through $ (0, 5) $ and $ (1, 10) $

B A table where $ y $ is always $ 3 $ more than $ x $

C An equation in the form $ y = 15x $

D A graph showing total cost including a one-time shipping fee

Workspace

Masters Key Teacher Resource

Answer Key

Math Masters Review • IA 3 Prep

TEACHER REFERENCE

Q#	Key	Standard / Skill	Distractor Logic (Common Errors)
1	A	Rational Number Operations	Miscalculating signs when subtracting negatives or adding/subtracting fractions with different denominators.
2	C	Equivalent Expressions	Forgetting to distribute the factor to the second term inside parentheses (B) or forgetting to add the external 10x.
3	A	Proportions (Equations)	Finding unit rate (0.42) vs. multiplying totals. D represents the error of multiplying total price by total boxes.
4	B	Rational Numbers (Distance)	Subtracting incorrectly without considering absolute distance (A). Using negative distance (C/D) which is conceptually incorrect for "total distance".
5	C	Multi-step Percents	Thinking a 40% decrease followed by a 40% increase returns to the original (D). Calculating based on original price twice.
6	C	Unit Rates (Fractions)	Multiplying fractions (A) or using the reciprocal incorrectly (B/D).
7	A	Interpreting Expressions	Standard requires recognizing that $n - 0.22n$ is actually $0.78n$ (the discount amount), not the remaining 22% sale price.
8	B	Sales Tax (Backwards)	Subtracting 6% of the total (A) rather than dividing by 1.06 to find the pre-tax amount.
9	B	Area of a Circle	Using diameter instead of radius in formula (C). Calculating circumference instead of area (A).
10	A	Percent (Commission)	Dividing total pay by 16% (B) or ignoring the commission portion entirely (D).
11	D	Unit Rates (Money)	Inverting the division (A) or adding/subtracting values arbitrarily.
12	D	Expression Equivalence	Forgetting perimeter is 4 times the side length. Choice A and B represent perimeter errors for square vs rectangle.
13	A

Grading Guide

15 Correct: 100% (Mastery)
13-14 Correct: 90% (Proficient)
11-12 Correct: 80% (Developing)
Below 10: Intervention Needed

Key Takeaways

Percent error is not tested in this specific Book 1 set. Focus students on the distinction between "percent increase" (additive) and "percent of" (multiplicative). Ensure students are checking if an answer makes conceptual sense (e.g., area of a circle should be larger than its radius).

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