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# 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.

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 $x$?
1. $x + 4$
2. $4x$
3. $x^2$
4. $x^4$
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?
1. 249.45w + 31.75
2. 249.45w - 31.75
3. 249.45 + 31.75w
4. 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?
1. 2.95x + 39.95
2. 39.95x + 2.95
3. 2.95x - 39.95(12)
4. 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. 1. 775 + C 2. 775 - 12C 3. 775C 4. 775 + 12C 8. If a Broadway musical reached the 68 minute mark 14 minutes ago, what minute mark had it reached $m$ minutes ago? 1. $68-m$ 2. $82-m$ 3. $m-82$ 4. $68+m$ 9. Rewrite the following math problem as an algebraic expression: Matt has $x$ dollars, Trent has $x+23$ dollars and Nico has $x+35$ dollars. How much money do they have left in total after each of them spends$4 on lunch?
1. $x+46$
2. $3x+46$
3. $3x+36$
4. $x+56$
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?
1. $(x-10)/2$
2. $x/2 - 10$
3. $x - 5$
4. $10 - x/2$
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