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# 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?
1. W = 2G
2. G = 2W + 2
3. G = 4W
4. 2G = 4W
5. 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. 1. $W=450+5.6s$ 2. $W=(450+0.056)s$ 3. $W=450s+5.6$ 4. $W=450+0.056s$ 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. 1. W = -3T - 4 2. T = -3 - 4W 3. T = -3W + 4 4. T = -3W - 4 5. 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? 1. C = 2.50 + 5.25x 2. C = 5.25 + 2.50x 3. C = 7.75 + x 4. 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? 1. 12x + 1.2x = y 2. 1.2x - 12 = y 3. 12x + 1.2 = y 4. 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 $c$, the cost, in dollars, of renting the van for one day and driving it $m$ miles? 1. $c = 55m$ 2. $c = 30.25m$ 3. $c = 30 + 0.25m$ 4. $c = 0.25 + 30m$ 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?
1. y = (3/10)x + 350
2. y = (3/10)x - 350
3. y = (7/10)x - 350
4. 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.
1. C = 200m + 460
2. C = 460m - 200
3. C = 460m + 200
4. 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.
1. $y=2.50x+20$
2. $y=20x+2.50$
3. $x=20y+2.50$
4. $x=2.50y+20$
10.
Write as an equation: Fahrenheit temperature $F$ is nine-fifths of the Celsius temperature $C$ plus thirty-two.
1. $F=\frac{9}{5}(C+32)$
2. $F=\frac{9}{5}(C-32)$
3. $F=\frac{9}{5}C+32$
4. $F=\frac{9}{5}+C+32$
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