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Maths · Grade 6 · Set B
Muffins, Pens and Savings
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B
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Goal: 15 min
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Remember: A table, a graph and an equation can all show the same steady change.

Tables, graphs and equations

1
A bakery packs 4 muffins in each box. In the table, n is the boxes and m is the muffins. How many muffins are in 4 boxes?
2
What equation gives m from n?
m = n + 4m = n ÷ 4m = 4n
3
The equation is m = 4n. How many muffins are in 7 boxes?
4
In the table, n is the boxes and m is the muffins. Which one is the independent variable, the one we choose first?
n, the boxesm, the muffins
5
Each pen costs 2 dollars. In the table, p is pens and c is dollars. Which graph matches?
Graph 1
Graph 2
Graph 3
6
In m = 4n, when n goes up by 1, m goes up by 1.
TrueFalse

More equations

7
The cost of pens is c = 2p dollars. How many pens cost 18 dollars?
8
Lin saves d dollars after w weeks. Join each equation to its story.
  1. 1d = 5w
  2. 2d = 5w + 10
  3. 3d = 10w
  4. 4d = 10w + 5
  • A5 dollars each week
  • B5 dollars at the start, then 10 each week
  • C10 dollars each week
  • D10 dollars at the start, then 5 each week
9
Lin's savings are d = 5w + 10, with w in weeks. How many dollars after 4 weeks?
10
What equation gives d from w?
d = 5w + 10d = 10w + 5d = 15w
11
Across is hours h and up is dollars d. What does point Q tell us?
After 6 hours, the dollars are 3.After 3 hours, the dollars are 6.After 3 hours, the dollars are 3.
12
Which table matches y = 2x + 1?
Table A
Table B
Table C
13
Write how the table, the graph and the equation m = 4n tell the same story about the muffin boxes.
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Answer key · Set B
Muffins, Pens and Savings
116 Each box adds 4 muffins: 4, 8, 12, 16.
2m = 4n Each row is 4 times n: 4 × 1, 4 × 2, 4 × 3, 4 × 4.
328 m = 4 × 7 = 28.
4n, the boxes We choose how many boxes, and then the muffins follow. So n is independent and m depends on it.
5Graph 3 Across is p and up is c. The table gives the points (1, 2) and (2, 4).
6False Each extra box adds 4 muffins, so m goes up by 4.
79 2 × 9 = 18.
81-A, 2-D, 3-C, 4-B The number beside w is the change for each week. The number added on is what Lin starts with.
930 5 × 4 = 20, and 20 + 10 = 30.
10d = 5w + 10 At 0 weeks she has 10, and each week adds 5.
11After 3 hours, the dollars are 6. Q is 3 across and 6 up: 3 hours and 6 dollars.
12Table C 2 × 1 + 1 = 3, 2 × 2 + 1 = 5 and 2 × 3 + 1 = 7. Table B is 3x.
13Your own words: a grown-up reads it.
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