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Algebra I: Practice Questions with Answers

Curriculum: Algebra IGrades: 8–9Questions: 12Mode: Practice

Warm up on variables, expressions, and one-step equations (easiest level).

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1. In algebra, a 'variable' is...

  1. a type of graph
  2. a letter that stands for an unknown number
  3. a math mistake
  4. a number that never changes
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Answer: B. a letter that stands for an unknown number
A variable is a symbol - often a letter like x - that stands in for a number you don't know yet.

2. Simplify: 3x + 5x.

  1. 8
  2. 8x
  3. 2x
  4. 15x
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Answer: B. 8x
3x and 5x are like terms, so add the coefficients: 3 + 5 = 8, giving 8x.

3. Solve for x: x + 7 = 12.

  1. x = 19
  2. x = 5
  3. x = 84
  4. x = 7
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Answer: B. x = 5
Subtract 7 from both sides: x = 12 - 7 = 5.

4. Solve for x: x - 4 = 10.

  1. x = -6
  2. x = 14
  3. x = 6
  4. x = 40
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Answer: B. x = 14
Add 4 to both sides: x = 10 + 4 = 14.

5. Solve for x: 5x = 20.

  1. x = 100
  2. x = 25
  3. x = 4
  4. x = 15
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Answer: C. x = 4
Divide both sides by 5: x = 20 / 5 = 4.

6. What is the coefficient in the term 7y?

  1. 1
  2. 7
  3. 7y
  4. y
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Answer: B. 7
The coefficient is the number multiplied by the variable, which is 7 here.

7. Evaluate 2x + 3 when x = 4.

  1. 11
  2. 14
  3. 9
  4. 24
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Answer: A. 11
Substitute 4 for x: 2(4) + 3 = 8 + 3 = 11.

8. Which of these is an equation (not just an expression)?

  1. 2x + 1 = 9
  2. 5y + 2
  3. 3x - 4
  4. 7a - 2b
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Answer: A. 2x + 1 = 9
An equation has an equals sign that sets two expressions equal, like 2x + 1 = 9.

9. Simplify: 4a + 3b - a.

  1. 3a + 3b
  2. 3ab
  3. 6ab
  4. 7a + b
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Answer: A. 3a + 3b
Combine the a-terms: 4a - a = 3a; the 3b has no like term, so the result is 3a + 3b.

10. Solve for x: x/3 = 6.

  1. x = 3
  2. x = 9
  3. x = 2
  4. x = 18
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Answer: D. x = 18
Multiply both sides by 3: x = 6 x 3 = 18.

11. What does the expression 'x + 5' mean in words?

  1. a number increased by 5
  2. 5 times a number
  3. a number divided by 5
  4. 5 less than a number
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Answer: A. a number increased by 5
'x + 5' means take some number x and add 5 - a number increased by 5.

12. Solve for x: 2x + 1 = 9.

  1. x = 5
  2. x = 8
  3. x = 3
  4. x = 4
Show the answer
Answer: D. x = 4
Subtract 1 (2x = 8), then divide by 2 (x = 4).
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