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Maths · Grade 6 · Set B
One Step: Set B
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Goal: 15 min
Score/ 12
Remember: Undo the one operation, and do the same to both sides.

Undo one step

1
The tape shows x + 7 = 12. What is x?
2
Pip had some marbles. A friend gave Pip 6 more. Now Pip has 17. How many marbles did Pip have at first?
3
Which equation fits this tape?
n + 5 = 14n − 5 = 145n = 14n + 14 = 5
4
The tape shows 3x = 18. Three equal parts make 18. What is x?
5
What undoes subtracting 9?
subtract 9 againdivide by 9add 9multiply by 9
6
To solve x − 4 = 10, you add 4 to both sides.
TrueFalse

Fractions and decimals

7
x + 2/7 = 6/7. The bar shows 6/7. What is x?
8
x + 3.6 = 8.2. What is x?
9
A rope 15.6 meters long is cut into 6 equal pieces. How many meters long is each piece?
10
The 3 shaded parts of the bar together are worth 12. How much is the whole bar, all 5 parts?

Match, check and stretch

11
Join each equation to its solution.
  1. 1x + 4 = 9
  2. 2x − 4 = 9
  3. 34x = 12
  4. 4x ÷ 4 = 3
  • Ax = 5
  • Bx = 13
  • Cx = 12
  • Dx = 3
12
Mia had some ribbon. She cut off 1/4 meter. Now 5/8 meter is left. How many meters did she have at first? The dot marks 5/8.
13
Check that x = 13 works in x − 9 = 4. Write how you know the two sides balance.
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