21 P6.AG.JC.17080452
The average score received by Jan, Alicia, Sue and May in a recent Math test was 76 marks. Jan and Alicia both got 8z marks each while Sue got half of May's marks. How many marks did Sue score for the test? Express your answer in terms of z.
3 m
Algebra in 1 variable Algebra simplifying Average Equal stage Units method
22 P6.AG.JC.17080451
  1. Simplify 16d + 9c - 9d - 2c.
  2. Subtract 11z + 9w + 8q from 19z + 13q + 25w.
3 m
Algebra in more than 1 variable Algebra simplifying
23 P6.AG.JC.17080450
Sara had 100 sweets. She gave some sweets to k pupils and had 12 sweets left. How many sweets did each pupil get?
2 m
Algebra in 1 variable Algebra fractions
24 P6.AG.JC.17080449
The area of each face of the cube in the figure is b2 cm2.
  1. Find the volume of the cube in terms of b.
  2. If b2 = 36, find the volume of the cube.
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Volume of cube
25 P6.AG.JC.17080448
Jimmy and Kenny had $180 in all. Ken had $(12b + 6) more than Jim. How much did Jim have If b = 7?
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money More than or less than Units method
26 P6.AG.JC.17080447
Tom has a mass of 8r kg. John is 4 kg heavier than Tom. The mass of May is twice the total mass of the Tom and John.
  1. Find the total mass of the 3 children in terms of r.
  2. If r = 2, find the average mass of the 3 children.
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Mass Average More than or less than Times as many
27 P6.AG.JC.17080446
Gary weighs x kg while Jim weighs 2y kg.
  1. Find the average mass of each boy in terms of x and y.
  2. If x = 47 and y = 19, find the average mass of each boy.
2 m
Algebra in more than 1 variable Algebra simplifying Algebra substitution Mass Average
28 P6.AG.JC.17080444
Mary baked 400 cookies. She ate 2p of them and divided the remainder equally among her 4 friends.
  1. Find the number of cookies each of her friends received in terms of p?
  2. If p = 12, how many cookies did each of her friends receive?
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Algebra fractions Units method
29 P6.AG.JC.17080443
Find the value of 5a - 9b2 + 3c when a = 10, b = 2 and c = 12.
2 m
Algebra in more than 1 variable Algebra substitution
30 P6.AG.JC.17080442
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.
2 m
Algebra in 1 variable Algebra simplifying Length Area Perimeter Triangle

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