6th Grade Practice Test: Equivalent Expressions
Instructions: Click on the choice that is equivalent to the given expression (same value for any x). It will turn green if right, red if wrong. Wrong answers will show a short hint.
1. Which is equivalent to 5(x + 3) + 2(x – 4)?
- A. 5*x + 5*3 + 2*x – 2*4
- B. 7*x + 5*3 – 4
- C. 5*x + 5*3 + 2*x – 4
- D. 5*x + 5*3 + 2*x + 2*4
2. Which is equivalent to 4(y – 5) – 3(y + 2)?
- A. 4*y – 4*5 + 3*y + 3*2
- B. 4*y + 4*5 – 3*y – 3*2
- C. 4*y – 4*5 – 3*y – 3*2
- D. 4*y – 5 – 3*y + 2
3. Which is equivalent to 6(a + 2) + 4(a – 7)?
- A. 6*a + 6*2 + 4*a + 4*7
- B. 6*a + 6*2 + 4*a – 4*7
- C. 6*a + 6*2 + 4*a – 7
- D. 10*a + 6*2 – 7
4. Which is equivalent to 9(b – 1) – 2(3b + 5)?
- A. 9*b – 9*1 + 2*3b + 2*5
- B. 9*b – 9*1 – 3b – 2*5
- C. 9*b – 9*1 – 2*3b – 2*5
- D. 9*b – 1 – 2*3b – 5
5. Which is equivalent to 7(c + 4) + 5(2c – 3)?
- A. 7*c + 7*4 + 5*2c – 5*3
- B. 7*c + 7*4 + 5*2c + 5*3
- C. 7*c + 7*4 + 5*2c – 3
- D. 12*c + 7*4 – 5*3
5. Which of the following are algebraic expressions?
- A. 3x + 7
- B. 4y – 9 = 15
- C. 5(a + 2) – 3
- D. 2x + 10 = 0
6. Which of the following are algebraic equations?
- A. 8m – 12
- B. 6 + 4k = 22
- C. 9(p – 3) = 18
- D. 7n + 5
7. Which of these are algebraic expressions?
- A. x² + 4x – 1
- B. 2b = 10
- C. 15 – 3(c + 5)
- D. 4(d + 1) + 2(d – 6)
8. Select all that are algebraic equations.
- A. 5e + 11 = 26
- B. 12f – 8
- C. 7(g – 4) = 21
- D. 3h + 9 = 5h – 7
9. Which of the following is an algebraic expression? (No equals sign)
- A. 9j = 45
- B. 6(k + 2) – 5k
- C. 4m + 2 = 18
- D. n + 12 = 30
10. Which of these are algebraic equations? (HAS an equals sign)
- A. 10 + 3r = 25
- B. 5(s – 7)
- C. 8t – 4 = 20
- D. 2(u + 9) = 40