7.ee.2 Worksheets | Free - CommonCoreSheets - Free Printable

I'll work through each problem step by step to find the correct expressions.

Problem 1: A cell phone company dropped prices by 9%. Which expression shows the new price?
- If original price is p, a 9% drop means we subtract 0.09p from p
- New price = p - 0.09p
- Answer: D. p - 0.09

Wait, let me reconsider. If the price drops BY 9%, we need to express this correctly:
- Original price: p
- Drop of 9%: 0.09 × p = 0.09p
- New price: p - 0.09p

But looking at option D: "p - 0.09" - this doesn't have the p after 0.09, so it's just subtracting 0.09 (not 0.09p).

Let me check all options again:
- A. p - 0.09p ✓ (This is correct)
- B. p - 1.09 (wrong)
- C. p × 0.09 (this would be just 9% of the price, not the new price)
- D. p - 0.09 (missing the p)

Actually, I see that option A says "p - 0.09p" which equals 0.91p. This is correct for a 9% decrease.

Answer 1: A

Problem 2: Gas prices dropped 3%. Which expression shows the new price?
- Original price: g
- Drop of 3%: 0.03g
- New price: g - 0.03g

Looking at options:
- A. g × 0.03 (this is just 3% of g, not the new price)
- B. g - 1.03 (wrong)
- C. g - 0.03g ✓ (correct)
- D. g - 0.03 (missing the g)

Answer 2: C

Problem 3: Store offered 10% off. Which expression calculates the new cost?
- Original price: i
- 10% off means we pay 90% of the original price
- Or: i - 0.1i = 0.9i

Looking at options:
- A. i - 1.1 (wrong)
- B. i - 0.1i ✓ (correct - this equals 0.9i)
- C. i × 0.1 (this is just 10% of i, not the new price)
- D. i - 0.1 (missing the i)

Answer 3: B

Problem 4: Joe was earning $11/hour, then got a 5% raise making $11.55/hour. Which expression shows how his new rate was calculated?
- Original: $11
- 5% raise: 0.05 × 11 = 0.55
- New rate: 11 + 0.55 = 11.55

We can also write this as: 11 × 1.05 = 11.55

Looking at options:
- A. 11 × 1.05 ✓ (correct)
- B. 11 × 0.05 (this gives just the increase amount, not the new total)
- C. 11 + 0.05 (wrong - should be 11 + 0.55 or 11 × 0.05)
- D. 11 + 1.05 (wrong)

Answer 4: A

Problem 5: Cell phone cases at $35 each, 5% off. Which expression shows how much money they saved?
- They want to know the SAVINGS, not the final price
- Savings = 5% of $35 = 0.05 × 35

Looking at options:
- A. 35x - 0.05 (wrong)
- B. 0.05 × 35x ✓ (correct - this is 5% of the total cost)
- C. 35x + 0.05 (wrong)
- D. 35x + 1.05 (wrong)

Answer 5: B

Problem 6: Square with side 12 cm, increased by 6%. Which expression finds the new side length?
- Original: 12
- Increase by 6%: 12 × 0.06 = 0.72
- New length: 12 + 0.72 = 12.72

Or: 12 × 1.06 = 12.72

Looking at options:
- A. 12 + 1.06 (wrong)
- B. 12 × 1.06 ✓ (correct)
- C. 12 × 0.06 (this gives just the increase, not the new total)
- D. 12 + 0.06 (wrong)

Answer 6: B

Problem 7: Computer was $n, now 10% off. Which expression shows the difference in price?
- The question asks for the DIFFERENCE (the amount of the discount)
- Difference = 10% of n = 0.1n = n × 0.1

Looking at options:
- A. n - 10 (wrong)
- B. n × 0.1 ✓ (correct - this is the discount amount)
- C. n - 1.1 (wrong)
- D. n - 0.1 (wrong)

Answer 7: B

Problem 8: House on sale for $23,474. Offer 7% less than asking price. Which expression shows how much you should offer?
- Asking price: p = 23,474
- 7% less means: p - 0.07p = 0.93p
- Or equivalently: p × 0.93

Looking at options:
- A. p - 0.07 (missing the p)
- B. p - 0.07p ✓ (correct)
- C. p - 1.07 (wrong)
- D. p × 0.07 (this is just 7% of p, not the offer price)

Answer 8: B

Problem 9: Company offering 19% off monitors. Bought 25 monitors for z dollars a piece. How much money would you save?
- Price per monitor: z
- Number of monitors: 25
- Total original cost: 25z
- Savings = 19% of 25z = 0.19 × 25z

Looking at options:
- A. 25z - 0.19 (wrong)
- B. 25z + 1.19 (wrong)
- C. 0.19 × 25z ✓ (correct)
- D. 25z + 0.19 (wrong)

Answer 9: C

Problem 10: Textbook was $b last year. This year 13% higher. Which expression shows the difference in price?
- The question asks for the DIFFERENCE (how much more it costs this year)
- Difference = 13% of b = 0.13b = b × 0.13

Looking at options:
- A. b × 0.13 ✓ (correct - this is the price difference)
- B. b - 1.13 (wrong)
- C. b - 0.13 (wrong)
- D. b - 13 (wrong)

Answer 10: A

Final Answer:
1. A
2. C
3. B
4. A
5. B
6. B
7. B
8. B
9. C
10. A