Equations with variables on both sides

1.

Multiple Choice

1 min

1 pt

14p - 8 = 22 + 20p

-5

5

30

2.

Multiple Choice

1 min

1 pt

2c - 12 = 9c + 2

14

2

-2

3.

Multiple Choice

2 mins

1 pt

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

15x + 2.5 = 10x + 3

15 - 2.5x = 10 - 3x

15 + 2.5x = 10 + 3x

15 - 10 = 2.5x + 3x

4.

Multiple Choice

2 mins

1 pt

WRITE AN EQUATION

You bought a magazine for $5 and four

erasers. You spent a total of $25. Write a 2-step equation to find the cost of one eraser.

5 + x = 25

5 + 4x = 25

5x = 25

25 - 5 = -4x

5.

Multiple Choice

2 mins

1 pt

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

120 miles

100 miles

110 miles

150 miles

6.

Multiple Choice

1 min

1 pt

10x + 9 = 4x - 9

0

3

-3

-18

7.

Multiple Choice

2 mins

1 pt

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

150x + 24 = 180 + 20x

150 + 24x = 180 + 20x

180 - 150 = 24 x + 20x

150 - 24x = 180 - 20x

8.

Multiple Choice

2 mins

1 pt

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

50

20

15

25

9.

Multiple Choice

1 min

1 pt

Solve for x:
5x - 14 = 8x + 4

x = 6

x = -6

x = -18/13

x = 10/3

10.

Multiple Choice

1 min

1 pt

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

11.

Multiple Choice

1 min

1 pt

How many solutions will these 2 equations have?

No solution

One Solution

I Don't Know

Infinitely Many Solutions

12.

Multiple Choice

1 min

1 pt

What is the solution to these equations?

(3, -1)

(2, -6)

No Solution

(6, -2)

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