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Algebra Review Worksheet

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Algebra Review Worksheet

Choose an answer for each multiple-choice question. Show your working for written questions. Use the table to record the values of the rule.

Quick review

Variables, substitution, simplifying expressions and integers

1.Which option is an algebraic expression?
  • 9 + 6 = 15
  • 4p − 3
  • p = 8
  • 18 ÷ 2
2.If m = 5, what is 2m + 3?
  • 10
  • 13
  • 15
  • 23
3.Simplify 3(2b + 5) − 4b.
  • 2b + 15
  • 10b + 15
  • 2b + 5
  • 6b + 15
4.Which calculation is correct?
  • (−4) + 7 = −11
  • 6 − (−3) = 3
  • (−5) − 2 = −7
  • (−3) + (−8) = 5

Write, simplify and substitute

Show clear working where needed.

5.Write an expression for the sum of three times a number r and 8.
6.Simplify fully: 5(2x − 1) + 3x.
7.Evaluate C = 2u² + 3u − 1 when u = −3. Show your working.
8.Complete the table for the rule y = 3x + 2. Find y for each given x-value.

x

y

−2

0

1

3

9.Match each algebra term to its meaning.
  • Variable
  • Coefficient
  • Expression
  • Substitution
  • The number multiplied by a variable
  • Replacing a variable with a given value
  • Numbers, operations and/or variables without an equals sign
  • A letter representing a number
10.A worked solution claims that 7 − (3 − 8) = 7 − 3 − 8 = −4. Identify the first incorrect step and give the correct value.

2 printable pages

  • Algebra Review Worksheet, page 1 of 2: Quick review, Write, simplify and substitute

    Page 1

  • Algebra Review Worksheet, page 2 of 2: 6. Simplify fully: 5(2x − 1) + 3x.

    Page 2

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