Grade 8 Algebra Worksheets

1. 1

   Which expression matches the phrase?

   8 more than the difference of a and b

   • a − b + 8
   • a + b + 8
   • a − b − 8
   • 8 − a − b
2. 2

   Simplify by combining like terms.

   4x + 8x

   Answer:

3. 3

   Expand.

   3(x + 4y)

   Answer:

4. 4

   Solve for x.

   2(x + 3) = 10

   Answer:

5. 5

   Solve for x.

   3x + 11 = 4x + 3

   Answer:

6. 6

   Solve the inequality.

   x − 4 ≤ 7

   • x ≤ 11
   • x ≤ 3
   • x ≤ −11
   • x ≥ 11
7. 7

   Is (4, 4) a solution of this system?

   −x − 2y = −12 −4x − 4y = −36

   • No
   • Only if it is on one of the lines
   • Yes, it is on both lines
8. 8

   Which expression matches the phrase?

   the product of 2 and the sum of n and 3

   • 5n
   • 2n + 3
   • 2(n − 3)
   • 2(n + 3)
9. 9

   Simplify by combining like terms.

   7x + 1 + 8x + 9

   • 15x + 10
   • 16x + 9
   • 15x² + 10
   • 25x
10. 10

    Expand.

    5(5x − 4y)

    Answer:

11. 11

    Solve for x.

    4x + 3x + 2 = 58

    Answer:

12. 12

    Solve for x.

    3x + 9 = 5x − 3

    Answer:

13. 13

    Solve the inequality.

    x5 ≤ −8

    • x ≤ 40
    • x ≤ −8
    • x ≤ −40
    • x ≥ −40
14. 14

    Where do these two lines meet?

    x + 4y = 25 x − 4y = −23

    • (1, 6)
    • (1, 5)
    • (2, 6)
    • (6, 1)
15. 15

    Which expression matches the phrase?

    5 more than the square of n

    • n² + 5
    • (n + 5)²
    • 2n + 5
    • n² − 5
16. 16

    Simplify by combining like terms.

    6x − 8 − 7x + 7

    • −x − 1
    • 13x − 1
    • −x + 1
    • −x + 15
17. 17

    Expand.

    −3(3x − 6)

    • −9x − 18
    • −9x + 18
    • −9x + 6
    • 9x − 18
18. 18

    Solve for x.

    5(x + 4) + 6x = −79

    Answer:

19. 19

    Solve for x.

    5x − 4 = 4x − 6

    Answer:

20. 20

    Solve the inequality.

    −7x + 1 < −41

    • x < 6
    • x < −6
    • x > −6
    • x > 6

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