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Algebra Review and Problem-Solving

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Algebra Review and Problem-Solving

Choose the best answer for each multiple-choice question. Show your working for written questions.

Algebra warm-up

1.Which symbol can represent an unknown number that may vary?
  • 9
  • −
  • m
  • 0.4
2.If T = 5b + 1, what is T when b = 3?
  • 16
  • 18
  • 11
  • 8
3.Simplify 3(p + 2) − p.
  • 2p + 6
  • 4p + 6
  • 2p + 2
  • p + 6
4.Which expression is equivalent to 6k − 9?
  • 3(2k − 3)
  • 3(2k + 3)
  • 6(k − 9)
  • 2(3k − 9)

Use algebra to solve problems

5.A bakery charges $3 for each muffin and a $2 packaging fee. Write a rule for the total cost C of m muffins, then find the cost of 5 muffins.
6.Arjun has $14 saved and puts aside $x each week. Write an expression for how much she has after w weeks.
7.Use the rule y = −2x + 10 to find y when x is 1, 2 and 4. Then find the value of x when y = 0.
8.A rectangle has width 5 cm and length L cm. Write an expression for its perimeter.

Look for a pattern

x

1

2

3

y

4

7

10

9.The table shows values of x and y. Work out a linear rule connecting them, then use your rule to find y when x = 6.

2 printable pages

  • Year 7 algebra review with variable identification, substitution, simplifying expressions, and a rectangle perimeter problem.

    Page 1

  • Algebra word problems, a rule-and-values table, and a linear pattern challenge.

    Page 2

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