# Algebraic Expressions - Word Problems (Grade 9)

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## Algebraic Expressions - Word Problems

1.

Approximately fourteen 20-ounce plastic drink bottles must be recycled to produce 1 square foot of carpet.

Write an expression for the number of bottles needed to make c square feet of carpet.

Write an expression for the number of bottles needed to make c square feet of carpet.

2.

Liz is trying to sell her old table. She determines that if she sets the price at 70% of the original price, P, then people will be willing to buy it. Write an expression for the price at which Liz will sell her table.

3.

Zack wants to leave a 15% tip for his meal. Write and simplify an algebraic expression to represent the total cost of his meal m.

4.

The distance around a square is called the perimeter. Which expression below could be used to find the perimeter of the square if each side has a length of [math]x[/math]?

- [math]x + 4[/math]
- [math]4x[/math]
- [math]x^2[/math]
- [math]x^4[/math]

5.

Devonte opens a savings account by making a deposit of $249.45. Every week he deposits another $31.75 in the account. Which expression shows the amount of money that will be in the account w weeks after the account is opened?

- 249.45w + 31.75
- 249.45w - 31.75
- 249.45 + 31.75w
- 249.45 - 31.75w

6.

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals?

- 2.95x + 39.95
- 39.95x + 2.95
- 2.95x - 39.95(12)
- 2.95x + 39.95(12)

7.

Kiesha is investing her money in an IRA. Initially she will be putting in $775. Using C as the additional amount invested each month, translate this problem into an algebraic expression that will show how much Kiesha invested for the entire year.

- 775 + C
- 775 - 12C
- 775C
- 775 + 12C

8.

If a Broadway musical reached the 68 minute mark 14 minutes ago, what minute mark had it reached [math]m[/math] minutes ago?

- [math]68-m[/math]
- [math]82-m[/math]
- [math]m-82[/math]
- [math]68+m[/math]

9.

Rewrite the following math problem as an algebraic expression: Matt has [math]x[/math] dollars, Trent has [math]x+23[/math] dollars and Nico has [math]x+35[/math] dollars. How much money do they have left in total after each of them spends $4 on lunch?

- [math]x+46[/math]
- [math]3x+46[/math]
- [math]3x+36[/math]
- [math]x+56[/math]

10.

Mark has x dollars. If he spends $10 on food, and then loses half his remaining money, which of the following expressions shows how much money he has left?

- [math](x-10)/2 [/math]
- [math]x/2 - 10 [/math]
- [math] x - 5 [/math]
- [math]10 - x/2[/math]

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