# Translating Word Problems into Equations (Grade 9)

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## Translating Word Problems into Equations

1.

A team won 2 games in preseason play. After that they won 2 more each week. How can this be shown if G = games won and W = weeks?

- W = 2G
- G = 2W + 2
- G = 4W
- 2G = 4W
- G + 2 = 2

2.

Colton works for an athletics store. He earns a weekly salary of $450 plus a commission of 5.6% on his weekly sales. Write a linear equation for Colton's weekly wage W if he had s dollars in sales.

- [math]W=450+5.6s[/math]
- [math]W=(450+0.056)s[/math]
- [math]W=450s+5.6[/math]
- [math]W=450+0.056s[/math]

3.

Shelly tended to lose things. She lost 4 things last month. This month she lost her belongings at a rate of 3 per week. If T = things and W = weeks, choose the correct equation.

- W = -3T - 4
- T = -3 - 4W
- T = -3W + 4
- T = -3W - 4
- T = -4W -3

4.

Admission to the local amusement park costs $5.25 and each ride ticket costs $2.50. Which of the following equations represent the cost C, in dollars, for admission to the park with x ride tickets?

- C = 2.50 + 5.25x
- C = 5.25 + 2.50x
- C = 7.75 + x
- C = 7.75x

5.

John paid $12 to rent a bike. He also paid $1.20 for each hour he rode the bike. If x represents the number of hours he rode the bike, which equation could be used to find y, the total amount he paid to rent the bike?

- 12x + 1.2x = y
- 1.2x - 12 = y
- 12x + 1.2 = y
- 12 + 1.2x = y

6.

Jameek rented a moving van for one day at a rate of $30 per day plus $0.25 per mile. Which of the following equations can he use to calculate [math]c[/math], the cost, in dollars, of renting the van for one day and driving it [math]m[/math] miles?

- [math]c = 55m[/math]
- [math]c = 30.25m[/math]
- [math]c = 30 + 0.25m[/math]
- [math]c = 0.25 + 30m[/math]

7.

Harry bought a new motorcycle at an auction. He paid 30% of the original price, x, and received an additional discount of $350. Which of the following equations represents y, the price Harry paid for the motorcycle?

- y = (3/10)x + 350
- y = (3/10)x - 350
- y = (7/10)x - 350
- y = (7/10)x + 350

8.

An apartment complex charges $460 per month in rent plus a $200 annual maintenance fee. Write an equation representing the year's cost (C) for (m) months of rent.

- C = 200m + 460
- C = 460m - 200
- C = 460m + 200
- C= 200m - 460

9.

A video rental store charges a $20 membership fee and $2.50 for each video rented. Which equation best models this situation? Let y represent the total cost, and x represent the number of videos rented.

- [math] y=2.50x+20 [/math]
- [math] y=20x+2.50 [/math]
- [math] x=20y+2.50 [/math]
- [math] x=2.50y+20 [/math]

10.

Write as an equation: Fahrenheit temperature [math]F[/math] is nine-fifths of the Celsius temperature [math]C[/math] plus thirty-two.

- [math]F=\frac{9}{5}(C+32)[/math]
- [math]F=\frac{9}{5}(C-32)[/math]
- [math]F=\frac{9}{5}C+32[/math]
- [math]F=\frac{9}{5}+C+32[/math]

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