Equations

Very Easy

100

Solve for x: 2x + 5 = 13

x = 4

200

Solve for x: 5 - 4x = 25

x = -5

300

Which of the following is an inconsistent equation?

A. 3x - 5 = 5 - 3x

B. 3x - 5 = 3x + 5

C. 3x - 5 = 3x - 5

B

400

Which of the following is an addition equation?

A. 2x + 7 = -5

B. 3x - 8 = 7

C. 4x = -12

A

500

Solve for x: x / 3.2 = 3.8

x = 12.16

Moderately Easy

100

Solve for x: 3(x + 5) = -9

x = -8

200

Solve for x: 29 = x + 17.4

x = 11.6

300

Solve for x: 3(x - 4) = 2x + 3

x = 15

400

Identify the property of equality illustrated below.

If 2x + y = 7 and y = -3, then 2x - 3 = 7.

Substitution Property of Equality (or Subs PE)

500

Solve for x: -42 = -3.5x

x = 12

Easy

100

Solve for x: -3 / 4 = x / 20

x = -15

200

Solve for x: x + 12.5 = 9.25

x = -3.5

300

Solve for x: x / 4.7 = -4.3

x = -20.21

400

TRUE or FALSE

4 is a solution to 8 - 3x = 4(x - 5)

TRUE

500

TRUE or FALSE

7.5 is a solution to 1.5(x - 3.5) = 3x + 6

FALSE

A little not easy

100

Solve for the unknown: The difference of a number and -30 is -5. What is the number?

-35

200

Solve for the unknown: Twenty-five is eleven more than twice a number. What is the number?

7

300

Solve for the unknown: The sum of 6 and thrice a number is 7. What is the number?

1/3

400

Solve for x: 6(x - 7) = 7(x - 6)

x = 0

500

TRUE or FALSE

(8 - f) / (8 + f) = 1 is an inconsistent equation.

FALSE

Definitely not easy

100

Solve for the unknown: Eleven less than eight times a number equals 13. What is the number?

3

200

Solve for the unknown. Twelve less than eight times a number equals 20. What is the number?

4

300

Solve for the unknown. Fifteen divided by a number is -25. What is the number?

-3/5

400

Solve for x: -3(5x - 4) + 7 = -4(3 - 2x) + 8

x = 1

500

Solve for the unknown. Fourteen subtracted from the product of three and a number equals 28. What is the number?

14