A new one-year membership at a gym costs $290. A registration fee of $50 is paid up front, and the rest is paid monthly. How much do new members pay each month? Define a variable first.
Let x = cost per month Equation: 12x + 50 = 290 x = $20
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When 12 is subtracted from 3 times a number, the result is 24. Find the number.
x = 12
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It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many buckets can you buy at the clinic if you have $30 to spend? Define a variable first.
Let x = # of buckets x = 6 buckets
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Alex rents a car for one day. The charge is $18 plus $0.50 per mile. Alex wants to spend exactly $30. How many miles can he drive? Define a variable first!
Let x = # of miles Equation: 0.50x + 12 = 30 x = 24 miles
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Elizabeth made 100 cookies this week. She baked 4 more than three times the total she made last week. How many cookies did she bake last week.
Let x = # of cookies she made last week Equation: 3x + 4 = 100 Solution: x = 32 cookies
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Andrew charged his customers a flat fee of $25 to fix computers. Then he charged $20 for each hour that he spent fixing the computer. If Andrew made $185 off of his first customer, how many hours did he spend working?
Let x = # of hours Equation: 20x + 25 = 185 x = 8 hours
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Write and solve an equation: Nine less than three times a number is -45
3x - 9 = -45 x = -12
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A dance instructor orders 48 costumes for a dance recital. Each box contains 8 costumes. Write an equation to find the number of boxes that the dance instructor will receive.
75x+100 > 90x
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Amanda completed 14 problems on her math quiz so far. This is two-thirds of the total number of problems on the quiz. Write and solve a one-step equation to find the total number of problems on the quiz.
Let x = # of problems on the quiz Equation: 2/3x = 14 x = 21 questions
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Solve.
x = -13
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Translate and solve: 14 less than three-eighths of a number is 1. Find the number.
3/8x - 14 = 1 x = 40
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Solve the following equation:
x=30
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Suppose Satz’s baseball team scored 65 points in Tuesday’s game. This was seventeen points more than Thompson scored. Set up and solve an equation to find how many points Thompson scored. Be sure to define a variable!
let x=# of points Thompson scored, x + 17 = 65, x = 48 pts
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Victoria’s mom is 40 years old. This is 8 years less than 4 times the age of Victoria. How old is Victoria? Set up and solve an equation. Be sure to define a variable!
let x= Victoria's age 4x - 8 = 40 x = 12
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For lunch Mr. Saler had a hotdog and french fries. The hotdog had 151 calories and each french fry had 10 calories. If the meal had 501 calories, how many french fries did Mr. Saler eat? Set up and solve an equation and be sure to define a