Percent Word Problems as Decimal Expressions Worksheet Download - Free Printable

Let’s go through each problem one by one. We’re looking for the correct expression that matches the situation described.

---

Problem 1:
A mall kiosk bought 40 phone cases at $z$ each, and got 18% off. How much money did they save?

- Total original cost = 40 × z
- 18% of that is saved → 0.18 × (40 × z) = 0.18 × 40z
→ So answer is A. 0.18 × 40z

✔ Check: If z = $10, total = $400, 18% off = $72 saved.
0.18 × 40 × 10 = 72 → Correct.

---

Problem 2:
Original cereal had y cups of marshmallows. New version has 49% MORE.

- “More” means add 49% of y to y → y + 0.49y
→ Answer is C. y + (0.49 × y)

✔ Check: If y = 100, new amount = 149 → 100 + 49 = 149 → Correct.

---

Problem 3:
Square side is 8 cm. Make it 13% larger. What’s new length?

- Increase by 13% → multiply by 1.13 → 8 × 1.13
→ Answer is D. 8 × 1.13

✔ Check: 13% of 8 = 1.04 → 8 + 1.04 = 9.04; 8 × 1.13 = 9.04 → Correct.

---

Problem 4:
Prices dropped by 10%. Original price = p. New price?

- Drop 10% → keep 90% → 0.9p OR subtract 10%: p - 0.1p
→ Answer is C. p - 0.1p

✔ Check: If p = 100, drop 10% → 90.
p - 0.1p = 100 - 10 = 90 → Correct.

---

Problem 5:
Price raised 14%. Original = X. New price?

- Add 14% of X → X + 0.14X
→ Answer is C. X + (0.14 × X)

✔ Check: X = 100 → new = 114 → 100 + 14 = 114 → Correct.

---

Problem 6:
Joe earned $8/hour before raise. After 5% raise, he makes $8.40. Which expression shows how his rate was calculated?

- Raise = 5% of 8 → 0.05 × 8
New pay = 8 + (0.05 × 8) → but we need an expression that equals 8.40 using 8 and 5%

Wait — let’s check options:

A. 8 + 0.05 → 8.05 ✘
B. 8 × 1.05 → 8.40 ✔
C. 8 × 0.05 → 0.40 ✘
D. 8 ÷ 1.05 → ~7.62 ✘

So even though the question says “how his new hourly rate was calculated”, option B gives the right number.

But wait — does “calculated” mean the formula used? Yes — increasing by 5% is multiplying by 1.05.

→ Answer is B. 8 × 1.05

✔ Check: 8 × 1.05 = 8.40 → Correct.

---

Problem 7:
Gas prices dropped 2%. Old price = g. New price?

- Drop 2% → keep 98% → 0.98g OR subtract 2%: g - 0.02g
→ Answer is C. g - 0.02g

✔ Check: g = 100 → new = 98 → 100 - 2 = 98 → Correct.

---

Problem 8:
Sale: 11% OFF monitors priced at z dollars. How much do you SAVE?

- Save = 11% of z → 0.11 × z → or 0.11z
Look at options:

A. 20z - 0.11 → no
B. 0.11 × 20z → too big
C. 20z + 0.11 → no
D. 20z + 1.11 → no

Wait — none say just 0.11z? But look again…

Actually, all options have “20z” — maybe typo in problem? Or perhaps misread?

Re-read: “for z dollars a piece” — so saving per monitor is 0.11z.

But none of the options are simply 0.11z. Option B is 0.11 × 20z — which would be if buying 20 monitors.

The question doesn’t say how many — so probably expects per-unit savings.

But since all options include 20z, maybe it’s implied? No — problem says “if you bought monitors for z dollars a piece” — still per unit.

Wait — perhaps I misread the options.

Looking back:

A. 20z - 0.11
B. 0.11 × 20z
C. 20z + 0.11
D. 20z + 1.11

None match 0.11z. Unless... maybe the “20” is a red herring? Or perhaps it's a mistake in the worksheet.

But logically, saving 11% on z-dollar item = 0.11z.

Since none of the options are 0.11z, and B is 0.11 × 20z — which is 11% of 20 items — maybe the question implies buying 20? It doesn’t say.

Wait — reread: “Which expression shows how much money you would save if you bought monitors for z dollars a piece?”

Still ambiguous. But in context of other problems, likely expects per-item saving.

But since no option is 0.11z, and B is closest if assuming 20 items — but that’s not stated.

Alternatively — perhaps “20z” is meant to be “z”? Typo?

Given the choices, and that 0.11 × something must be the saving, only B has multiplication with 0.11.

And 0.11 × 20z = 2.2z — which is 11% of 20z — so if you bought 20 monitors, yes.

But the problem doesn’t specify quantity. Hmm.

Wait — look at Problem 1: it said “buy 40 new cell phone cases” — here, no quantity mentioned.

Perhaps it’s a trick — but logically, saving per monitor is 0.11z.

Since none of the options are correct as written, but B is the only one that represents a percentage calculation involving 0.11, and others are additions/subtractions without proper scaling — I think there might be a typo, and intended answer is B, assuming 20 monitors.

But let’s compare to similar problems — Problem 1 had quantity given. Here, not.

Actually — re-examining: maybe “20z” is a distractor, and the correct logical answer isn't listed — but since this is multiple choice, and B is the only one that multiplies 0.11 by a price term, and the rest don’t make sense — I’ll go with B, noting the ambiguity.

Wait — another thought: perhaps “20z” is meant to be “z”, and it’s a printing error. In that case, 0.11 × z would be correct — but it’s written as 20z.

Given the constraints, and that B is the only expression that calculates 11% of some price-related value, I’ll select B, with caution.

But let’s see the answer key pattern — most are straightforward.

Actually — I think I made a mistake. Let me read the question again carefully:

“A company was having a sale for 11% off the price of computer monitors. Which expression shows how much money you would save if you bought monitors for z dollars a piece?”

It doesn’t say how many — so saving per monitor is 0.11z.

But none of the options are 0.11z. All have 20z.

Unless... perhaps “20z” is a typo and should be “z”. In that case, B would be 0.11 × z — which is correct.

Given that, and since it’s the only plausible choice, I’ll go with B.

Alternatively, maybe the “20” is from previous problem — but no.

I think it’s safe to assume it’s a typo, and intended answer is B, representing 11% of the total cost for 20 items — even though not specified.

To resolve: in educational contexts, sometimes they expect you to recognize the structure. Since 11% off means save 0.11 times the price, and B is the only one with 0.11 multiplied by a price expression, I’ll choose B.

Final decision: B. 0.11 × 20z — assuming perhaps 20 monitors were implied or it’s a common setup.

But strictly speaking, without quantity, it should be 0.11z. However, among given choices, B is best fit.

---

Problem 9:
House listed at $22,871. Offer 13% less than asking price(p). How much to offer?

- 13% less → subtract 13% of p → p - 0.13p
→ Answer is D. p - 0.13p

✔ Check: p = 100 → offer = 87 → 100 - 13 = 87 → Correct.

---

Problem 10:
Regular price n. Weekend sale: 10% off. Difference between normal and sale price?

- Sale price = n - 0.1n = 0.9n
Difference = n - 0.9n = 0.1n → or n × 0.1
→ Answer is B. n × 0.1

✔ Check: n = 100 → sale = 90 → difference = 10 → 100 × 0.1 = 10 → Correct.

---

Now, compiling answers:

1. A
2. C
3. D
4. C
5. C
6. B
7. C
8. B *(with note about possible typo)*
9. D
10. B

For #8, although ambiguous, B is the only reasonable choice among options.

Final Answers:

1. A
2. C
3. D
4. C
5. C
6. B
7. C
8. B
9. D
10. B