Grade 8 algebra questions with solutions are presented. Questions on solving equations, simplifying expressions including expressions with fractions are included.

NOTE: In what follows, mixed numbers are written in the form a b/c. For example 2 1/3 means the mixed number 2 + 1/3.

1. Simplify the following algebraic expressions.
A) -2x + 5 + 10x - 9
B) 3(x + 7) + 2(-x + 4) + 5x
2. Simplify the expressions.
A) (2x - 6) / 2
B) (-x - 2) / (x + 2)
C) (5x - 5)/10
3. Solve for x the following equations.
A) -x = 6
B) 2x - 8 = -x + 4
C) 2x + 1/2 = 2/3
D) x/3 + 2 = 5
E) -5/x = 2
4. Evaluate for the given values of x and y.
A) x2 - y2 , for x = 4 and y = 5
B) |4x - 2y| , for x = -2 and y = 3
C) 3x3 - 4y4 , for x = -1 and y = -2
5. Solve the following inequalities.
A) x + 6 < 0
B) x + 1 > 5
C) 2(x - 2) < 12
6. What is the reciprocal of each of the following numbers?
A) -1
B) 0
C) 3/4
D) 2 5/7
E) 0.02
7. Evaluate the following expressions involving mixed numbers.
A) 3 3/4 + 6 1/7
B) (1 3/5) × (3 1/3) - 2 1/2
C) (5 2/3) ÷ (4 1/5)
D) (3 4/7 - 1 1/2) ÷ (2 3/8 + 2 1/4)
8. Evaluate the folwoing exponential expressions.
A) -42
B) (-2)3
C) (-2)4
D) 10000
E) 5661
9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12
10. Convert to decimals.
A) 1/5
B) 120%
C) 0.2%
D) 4 8/5
11. Convert to percent.
A) 3/10
B) 1.4
C) 123.45
D) 2 4/5
12. Which of these numbers is divisible by 3?
A) 156312
B) 176314
13. Which of these numbers is divisible by 4?
A) 3432
B) 1257
14. Which of these numbers is divisible by 6?
A) 1233
B) 3432
15. Which of these numbers is divisible by 9?
A) 2538
B) 1451
16. Evaluate 8x + 7 given that x - 3 = 10.