write the words as an expression. then evaluate the expression.
13. divide the sum of 25 and 41 by the difference of 17 and 11.
14. multiply the difference of 24 and 17 by the difference of 12 and 9.
15. subtract 24 from 49, then divide by 5.
16. add 17, 20, and 33, then multiply by 8.
17. explain how to evaluate the expression.
45 ÷ (30 + 15) ÷ 5
18. explain how to evaluate the expression.
10 × 4 × (12 − 8)
19. explain how to evaluate the expression.
(24 − 8) × 3 ÷ 2
20. write and evaluate two equivalent numerical expressions using brackets or braces that show the distributive property.
21. four laps around a track is a mile. newton runs 20, 18, and 14 laps over the course of 3 days. he completes this pattern twice a week. how many miles does he run?
22. you have 12 blue sticky notes, 8 purple sticky notes, 5 green sticky notes, and 5 red sticky notes. you keep 2 sticky notes, and then divide the rest equally between 4 friends. how many sticky notes does each friend receive?

Question

Accepted Answer

### Problem 13:
# Explanation:
## Step1: Find sum of 25 and 41
$25 + 41 = 66$
## Step2: Find difference of 17 and 11
$17 - 11 = 6$
## Step3: Divide sum by difference
$\frac{66}{6} = 11$
# Answer:
11

### Problem 14:
# Explanation:
## Step1: Find difference of 24 and 17
$24 - 17 = 7$
## Step2: Find difference of 12 and 9
$12 - 9 = 3$
## Step3: Multiply the two differences
$7 \times 3 = 21$
# Answer:
21

### Problem 15:
# Explanation:
## Step1: Subtract 24 from 49
$49 - 24 = 25$
## Step2: Divide the result by 5
$\frac{25}{5} = 5$
# Answer:
5

### Problem 16:
# Explanation:
## Step1: Add 17, 20, and 33
$17 + 20 + 33 = 70$
## Step2: Multiply the sum by 8
$70 \times 8 = 560$
# Answer:
560

### Problem 17:
# Explanation:
## Step1: Evaluate inner parentheses: $30 + 15$
$30 + 15 = 45$
## Step2: Evaluate middle brackets: $45 \div 5$
$45 \div 5 = 9$
## Step3: Evaluate outer division: $45 \div 9$
$45 \div 9 = 5$
# Answer:
5

### Problem 18:
# Explanation:
## Step1: Evaluate inner parentheses: $12 - 8$
$12 - 8 = 4$
## Step2: Evaluate middle parentheses: $4 \times 4$
$4 \times 4 = 16$
## Step3: Evaluate outer multiplication: $10 \times 16$
$10 \times 16 = 160$
# Answer:
160

### Problem 19:
# Explanation:
## Step1: Evaluate inner parentheses: $24 - 8$
$24 - 8 = 16$
## Step2: Evaluate middle brackets: $16 \times 3$
$16 \times 3 = 48$
## Step3: Evaluate outer division: $48 \div 2$
$48 \div 2 = 24$
# Answer:
24

### Problem 20:
# Explanation:
Let's use the distributive property $a(b + c) = ab + ac$. Let's take $a = 5$, $b = 3$, $c = 2$.
First expression: $5 \times (3 + 2) = 5 \times 5 = 25$
Second expression: $5 \times 3 + 5 \times 2 = 15 + 10 = 25$
(Note: Any valid distributive property example works, this is one example.)
# Answer:
Example: $5(3 + 2) = 25$ and $5 \times 3 + 5 \times 2 = 25$

### Problem 21:
# Explanation:
## Step1: Find total laps in 3 days: $20 + 18 + 14$
$20 + 18 + 14 = 52$
## Step2: Multiply by 2 (twice a week): $52 \times 2$
$52 \times 2 = 104$
## Step3: Divide by 4 (4 laps per mile): $\frac{104}{4}$
$\frac{104}{4} = 26$
# Answer:
26

### Problem 22:
# Explanation:
## Step1: Find total sticky notes: $12 + 8 + 5 + 5$
$12 + 8 + 5 + 5 = 30$
## Step2: Subtract 2 (kept): $30 - 2$
$30 - 2 = 28$
## Step3: Divide by 4 (friends): $\frac{28}{4}$
$\frac{28}{4} = 7$
# Answer:
7

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QUESTION IMAGE

Question

Explanation:

Problem 13:

Step1: Find sum of 25 and 41

Step2: Find difference of 17 and 11

Step3: Divide sum by difference

Step1: Find difference of 24 and 17

Step2: Find difference of 12 and 9

Step3: Multiply the two differences

Step1: Subtract 24 from 49

Step2: Divide the result by 5

Answer:

Problem 14: