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Percent Change Worksheet Answer Key – Grade 7

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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Worksheet Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable worksheet answer keys for Grade 7

Looking for a percent change worksheet answer key? Then this answer key gives every step of the Grade 7 worksheet on Calculating Percent Change and Percent Error. Each solution shows the change, the division by the starting or actual value, and the percent written clearly. Compare your denominator with the solution first, since that is where most mistakes begin.

Standards: 7.RP.A.3 · Level: Grade 7

Problem 2 Score Decrease

Change: 250 − 200 = 50.

50 ÷ 250 = 0.20 = 20%.

Answer: 20% decrease

Problem 3 Class Growth

Increase: 0.15 × 40 = 6.

New enrollment: 40 + 6 = 46.

Answer: 46 students

Problem 4 Bike Price Reduction

Reduction: 0.125 × 320 = 40.

New price: 320 − 40 = 280.

Answer: $280

Problem 5 Measuring a Board

Error: |48 − 50| = 2 cm.

2 ÷ 50 = 0.04 = 4%.

Answer: 4% error

Problem 6 Town Population

Change: 300.

300 ÷ 6,000 = 0.05 = 5%.

Answer: 5% increase

Problem 7 Pay Before the Raise

New pay = 120% of old pay: 1.20 × old = 540.

Old pay: 540 ÷ 1.20 = 450.

Answer: $450

Problem 8 Jacket Before the Sale

Sale price = 70% of original: 0.70 × original = 84.

Original: 84 ÷ 0.70 = 120.

Answer: $120

Problem 9 Percent Error on a Number Line

Error: 12.5 − 12.1 = 0.4.

0.4 ÷ 12.5 = 0.032 = 3.2%.

Answer: 3.2% error

11.912.112.312.512.7error 0.412.112.5
Error = 0.4, and 0.4 ÷ 12.5 = 3.2%.

Problem 10 Down Then Up

After the fall: 80 × 0.75 = 60.

After the rise: 60 × 1.25 = 75.

Overall change: 75 − 80 = −5, and 5 ÷ 80 = 0.0625 = 6.25%.

Answer: $75; 6.25% decrease overall

Problem 11 Which Plant Grew More

A: 3 ÷ 8 = 0.375 = 37.5%. B: 6 ÷ 20 = 0.30 = 30%.

B grew 6 inches and A grew 3 inches.

Answer: Plant A has the greater percent growth (37.5% versus 30%); Plant B grew more inches

Problem 12 Monthly Sales Changes

Jan to Feb: 250 ÷ 1,250 = 20% increase.

Feb to Mar: −150 ÷ 1,500 = 10% decrease.

Jan to Mar: 100 ÷ 1,250 = 8% increase.

Answer: +20%, −10%, +8%

Problem 13 Recipe with Fractions

Change: 1 − 34 = 14.

14 ÷ 34 = 13 = 33 13%.

Answer: 33 13% increase

Problem 14 Attendance Estimate

Error: 2,025 − 1,800 = 225.

225 ÷ 2,025 ≈ 0.1111 = 11.1%.

Answer: about 11.1% error

Problem 15 Population Over Two Years

Year 1: 25,000 × 1.12 = 28,000.

Year 2: 28,000 × 0.95 = 26,600.

Overall: 26,600 − 25,000 = 1,600, and 1,600 ÷ 25,000 = 6.4%.

Answer: 26,600 residents; 6.4% increase overall

Problem 16 Sofa Price Round Trip

Original: 690 ÷ 1.15 = 600.

Discounted: 690 × 0.85 = 586.50.

Change: 586.50 − 600 = −13.50, and 13.50 ÷ 600 = 0.0225 = 2.25%.

Answer: $600; $586.50; 2.25% decrease

Problem 17 Lab Scale Tolerance

(a) Error: 252 − 245 = 7, and 7 ÷ 245 ≈ 0.0286 = 2.9%.

(b) 2.9% is less than 3%, so yes.

(c) 3% of 245 = 7.35, so the largest acceptable reading is 252.35. Since 253 > 252.35, no.

Answer: 2.9%; yes; no

Problem 18 Video Views Growth

Change: 6,250, and 6,250 ÷ 12,500 = 50%.

Month 3: 18,750 × 1.50 = 28,125.

Answer: 50% increase; 28,125 views

Problem 19 Two Price Cuts Compared

A: 18 ÷ 80 = 22.5%. B: 24 ÷ 120 = 20%.

The dollar cuts are $18 and $24.

Answer: Store A has the greater percent decrease; Store B has the larger dollar cut

Problem 20 Skis After Two Discounts

Multiplier: 0.65 × 0.80 = 0.52.

Original: 91 ÷ 0.52 = 175.

Total discount: 1 − 0.52 = 0.48 = 48%.

Answer: $175; 48% total discount

$175original× 0.65(35% off)$113.75first sale× 0.80(20% off)$91final
Working forward checks the answer.