Equations in One Variable Test

Write the following statement in the form of an equation:

The sum of three times x and 10 is 13.

• 3x + 10 = 13

• 3x + 13 = 10

• 10x = 13

Solve 3x = 36

• x = 33

• x = 18

• x = 12

• x = 6

Convert the following equation in statement form:

2n + 5 = 11

• Add 5 to two times n to get 11.

• Add n to two times 5 to get 11.

• Add 5 to n to get 11.

• Add 2 to five times n to get 11.

Solve 78 + y = 100

• y = 178

• y = 28

• y = 22

• y = 20

1. Kylie and Ricardo decide to start a dog watching business for their neighborhood. 

3. Kylie thinks it would be best to charge customers $27 for a membership and then $5 per time they walk a dog. 

5. Ricardo thinks it would be best to charge $8 per dog walk. 

7. For what number of walks will their two plans cost the same amount of money?

Mathematical Equivalence

ON

Solve:

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

• none of the above

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Kylie and Ricardo decide to start a dog watching business for their neighborhood. Kylie thinks it would be best to charge customers $27 for a membership and then $5 per time they walk a dog. Ricardo thinks it would be best to charge $8 per dog walk. For what number of walks will their two plans cost the same amount of money?

Mathematical Equivalence

ON

Find the solution:
10 = 4x - 2

• x = 3

• x = 2

• x = -3

• x = -2