Remember: Undo the one operation, and do the same to both sides.
Undo one step
1
A jug holds 1 liter when it is full. It has some water in it. Then 3/8 liter more fills it. How many liters were in the jug at first?
2
x − 4.5 = 3.25. What is x?
3
4 × ? = 4.16. What number goes in the gap?
4
Ava pours 4 liters of water equally into 3 cups. How many liters are in each cup? Write a fraction.
5
3/4 × ? = 9. What number goes in the gap?
6
Which step solves x ÷ 5 = 7?
divide both sides by 5subtract 5 from both sidesmultiply both sides by 5add 5 to both sides
Equations in stories
7
Which equation fits this tape?
x + 5 = 35x ÷ 5 = 35x − 5 = 355x = 35
8
A school bought some books. Then 48 more arrived. Now there are 125. How many were there at first?
9
The solution of x ÷ 6 = 9 is 54.
TrueFalse
10
Twelve pens cost $9.60 in all, and each pen costs the same. How many dollars does one pen cost?
Match, check and stretch
11
Join each equation to its solution.
1x + 9 = 20
2x − 9 = 20
39x = 36
4x ÷ 9 = 4
A11
B29
C36
D4
12
Number the steps to solve x − 6 = 15.
Undo it: add 6 to both sides
Work it out: 15 + 6 = 21
Spot the operation: 6 is taken away
Check: 21 − 6 = 15
13
Sensei solved x + 12 = 30 and wrote x = 42. Write how you know he is wrong, and the right answer.
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