Solving Equations Review | Baamboozle - Baamboozle

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Solve. -15 + 3x = 18x+10

x = -5/3

Solve.

x = -21

Translate and solve: 14 less than three-eighths of a number is 1. Find the number.

3/8x - 14 = 1 x = 40

Solve the following equation:

x=30

Solve.

x = -13

Solve:

x=9

A gym teacher orders 42 tennis balls. Each package contains 3 tennis balls. Which of the following equations represents the number x of packages?

3x=42

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

Solve.

x = 8

Match the equation with the first step to solve it. 4 + 4n = −12

b. subtract 4

Solve. x - 7 + 10x = 7x - 5

x = 1/2

The sum of a number y and 3 is −8.

y + 3 = -8 y = -11

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

A company has a profit of $750 this week. They plan to take out $95 a week. B company has $50 and they plan to deposit $80 a week. How many weeks will it take for the companies to have the same amount of money?

4 weeks

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

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

Write and solve an equation: Nine less than three times a number is -45

3x - 9 = -45 x = -12

Solve.

x = -29

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

Hope has 45 cars on her used car lot. She adds 5 cars each week. Jake has 60 cars on his car lot and add 2 cars each weeks. Write an inequality to show how many weeks it will take so that Hope has at least as many cars as Jake.

45+5x (greater than or equal to) 60+2x

Solve. 2x+4/7=10x

x = 1/17

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

Solve. −3x + 5 = 2

x = 1

Solve. -3.4x + 2.8 = 9.1 - 7.3x

x = 1.6

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

let x=# of french fries 10x+151=501 x= 35

Solve.

x = -36

Solve.

x = 10

Solve. -4x = -6x+10

x = 5

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

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

When solving the equation 4x + 1 = −11, what is the first step?

Subtract 1 from both sides of the equation.

When 12 is subtracted from 3 times a number, the result is 24. Find the number.

x = 12

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