It looks like you've uploaded a worksheet titled
"Translating Phrases - Linear Expressions", which asks students to translate verbal phrases into algebraic expressions. Since I can't view images directly, I’ll help you solve this type of problem based on the typical format of such worksheets.
Let’s assume the worksheet contains phrases like:
1. The sum of x and 5
2. Divided by 8
3. The product of 3 and m
4. Sixteen less than y
5. 9 more than z
6. Three-sevenths of n
7. Twice the sum of p and q
8. One-quarter added to x
9. 10 decreased by 3x
10. One-half of k
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Let's go through each one step by step and translate them into algebraic expressions:
---
1. The sum of x and 5
→ "Sum" means addition
→
x + 5
---
2. Divided by 8
→ This is incomplete. It should be something like “a number divided by 8”
Assuming it’s “a number divided by 8”, let the number be
n
→
n ÷ 8 or
n/8
---
3. The product of 3 and m
→ "Product" means multiplication
→
3m
---
4. Sixteen less than y
→ "Less than" reverses the order: y minus 16
→
y - 16
---
5. 9 more than z
→ "More than" means addition
→
z + 9
---
6. Three-sevenths of n
→ "Of" means multiplication
→
(3/7)n or
3n/7
---
7. Twice the sum of p and q
→ First find the sum: p + q
→ Then multiply by 2:
→
2(p + q)
---
8. One-quarter added to x
→ "Added to" means addition
→
x + 1/4
---
9. 10 decreased by 3x
→ "Decreased by" means subtraction
→
10 - 3x
---
10. One-half of k
→ "Of" means multiplication
→
(1/2)k or
k/2
---
Final Answers:
1. x + 5
2. n/8
3. 3m
4. y - 16
5. z + 9
6. (3/7)n
7. 2(p + q)
8. x + 1/4
9. 10 - 3x
10. (1/2)k
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If your worksheet has different phrases, feel free to list them here, and I’ll help translate them accordingly!
Parent Tip: Review the logic above to help your child master the concept of translating verbal expressions into algebraic expressions worksheet.
