4th grade · Math · Unit 7 of 15
Equations
Find the mystery number
What your child practices
Solving one-step equations with a box or letter for the unknown, using all four operations, and matching equations to word problems.
Maine Learning Results learning standard: 4.OA.A.3 · solving multistep problems with a letter for the unknown
How we explain it
Children can open this short lesson before they practice.
- An equation says two things are equal.
- Use the opposite operation to find the missing number.
- Check by putting your answer back in.
Example: ☐ + 7 = 15. What is ☐? Opposite of adding 7 is subtracting 7. 15 − 7 = 8. Answer: 8
Equations in Maine
In the Maine Learning Results, this is unit 7 of 15 in 4th grade Math, after Patterns & Tables and before Polygons & Perimeter.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Maine Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What number goes in the box?
− 787 = 60
answer box
847
Hint: Work backwards: you took away 787 and had 60 left. Add 787 back on to 60.
Question 2
What number goes in the box?
7 × = 35
answer box
5
Hint: What times 7 makes 35? Divide to find it: 35 ÷ 7.
Question 3
What number makes both sides equal?
7 × 9 = + 18
answer box
45
Hint: The = sign means both sides are worth the same. The left side is 7 × 9 = 63. What plus 18 makes 63?
Question 4
Which equation matches the story?
Noah had some marbles.
Noah got 112 more.
Now Noah has 296 marbles.
- ☐ − 112 = 296
- ☐ + 112 = 296
- 112 − ☐ = 296
- 296 + 112 = ☐
☐ + 112 = 296
Hint: The box stands for the number Noah started with. Then 112 more were added to make 296.
Question 5
Some grapes were shared equally by 4 friends. Each friend got 8 grapes. How many grapes were there?
🍇answer box
32
Hint: Write it as an equation: ☐ ÷ 4 = 8. Multiply to work backwards.
Question 6
What number goes in the box?
278 + = 760
answer box
482
Hint: What do you add to 278 to make 760? Subtract to find it: 760 − 278.