1 P6.AG.JC.17080472
Level 3
One pencil costs $x. One pen costs $(x + 20). One ruler costs $4x.
  1. Vince bought 2 pencils, 3 pens and 1 ruler. How much did he spend? Simplify your answer in terms of x.
  2. If x = 20, how much did Vince spend altogether?
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money
2 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
3 P6.AG.JC.17080470
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
4 P6.AG.JC.17080469
Level 3
A rectangle has a length of 6p cm and a breadth of 4q cm. Find
  1. its area in terms of p and q,
  2. its perimeter in terms of p and q,
  3. the area of the rectangle if p = 2 and q = 3.
4 m
Algebra in more than 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
5 P6.AG.JC.17080467
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Algebra in 1 variable Algebra simplifying More than or less than Times as many Units method
6 P6.AG.JC.17080466
Level 3
Lina and Wendy went shopping. After Lina spent $85j, Wendy had 5 times as much as Lina. If Lina had $21j more than Wendy at first,
  1. Express the amount of money that Lina had at first in terms of j.
  2. If j = 10, find the amount of money that the two ladies had left after shopping.
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution More than or less than Times as many Units method
7 P6.AG.JC.17080465
Level 3
Abel has b coins. Bobby has three times as many coins as Abel but 8 coins fewer than Jason.
  1. How many coins do they have altogether? (Express your answer in terms of b).
  2. If b = 9, how many stamps do the three boys have altogether?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution More than or less than Times as many
8 P6.AG.JC.17080464
Level 3
The total mass of Cindy, Jen and Marvin is 15p kg. Cindy has a mass of 5p kg. Jen is 2 kg heavier than Cindy.
  1. What is Marvin's mass in terms of p?
  2. If p = 10, what is Marvin's mass?
3 m
Algebra in 1 variable Algebra Substitution Mass More than or less than
9 P6.AG.JC.17080463
Level 3
A plate cost $b. A bowl cost $20 less than the plate.
  1. Mother bought 2 plates and 1 bowl. How much did Mother pay in terms of b?
  2. If b = 98, find the total amount that Mother paid.
3 m
Algebra simplifying Algebra substitution Money More than or less than
10 P6.AG.JC.17080462
Level 3
Sam saved $9 each day and Joelle saved $c more than Sam each day. After 2 weeks, they were still short of $30 to buy a TV set.
  1. How much did the TV set cost? Express your answer in terms of c.
  2. If c = $2, how much did the TV set cost?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money More than or less than
11 P6.AG.JC.17080460
Level 3
Margaret bought c kg of mangoes at $k per kg and w kg of papaya at $y per kg.
  1. Find the amount that she paid for the fruits in terms of c, k, w and y.
  2. If c = 8, k = 7, w = 5 and y = 4, how much change did Mrs Lim receive if she paid the fruit seller with a $100 note?
3 m
Algebra in more than 1 variable Algebra simplifying Algebra substitution Money
12 P6.AG.JC.17080459
Level 3
Mrs Jensen paid a total of $38 for 3n pens and 4 markers. Each pen cost $2.
  1. Express the cost of 1 marker in terms of n.
  2. If n = 4, how much did each marker cost?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Algebra fractions Money
13 P6.AG.JC.17080458
Level 3
The table shows the number of pens sold at a bookshop last week.
  1. What was the total number of pens sold last week? Express your answer in terms of b the simplest form.
  2. If b = 20, how many pens were sold on Sunday?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Table
14 P6.AG.JC.17080457
Level 3
A van travels 20 km in 5r minutes. How far will it travel in k hours?
3 m
Algebra in more than 1 variable Algebra simplifying Algebra fractions Unit conversion Distance apart Units method
15 P6.AG.JC.17080456
Level 2
A pen costs $z while a book costs 90¢ less than the pen.
  1. What is the cost of 2 pens and 1 book? Express your answer in terms of p in its simplest form.
  2. Abel wants to buy 2 pens and 1 book but is short of 30 cents. If the book costs $1.10, how much money does Alex have?
3 m
Algebra in 1 variable Algebra simplifying Money Unit conversion More than or less than
16 P6.AG.JC.17080455
Level 3
Angela had $112w left after she spent 57 of her money on a wallet. Then she spent the remaining money on shirts at $16w each.
  1. How much money did Angela spend on the wallet?
  2. How many shirts did she buy?
3 m
Algebra in 1 variable Algebra simplifying Fraction of a whole Money
17 P6.AG.JC.17080454
Level 2
Lance exercised for a total of (8f + 90) min in a week. For the first 3 days, he exercised for 2f minutes per day. For the next 2 days, he exercised for 30 minutes per day. For how long did he exercise for the rest of the week?
3 m
Algebra in 1 variable Algebra simplifying Time
18 P6.AG.JC.17080453
Level 2
Lina had $20m. She bought 4 dresses and 9 skirts. Each dress cost $2m. 3 skirts cost as much as a dress. How much had Lina left?
3 m
Algebra in 1 variable Algebra simplifying Money
19 P6.AG.JC.17080452
Level 2
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
20 P6.AG.JC.17080451
Level 1
  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

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