Solve x - 3 = 3. Check in the original equation.
x = 6
Add 3 on both sides. Then x = 6; substitution gives 3 on each side.
Day 093Solving Subtraction Equations
Standards 6.EE.B.7
LEARNING TARGET
I can solve x - p = q and check.
01 · LEARN
Build the idea
Add p to both sides to undo subtraction. Check by subtracting p from your answer. Values in this lesson are nonnegative rational numbers.
Solve x - 1 = 1/2. Check in the original equation.
x = 3/2
Add 1 on both sides. Then x = 3/2; substitution gives 1/2 on each side.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Solve x - 8 = 3/2. Check in the original equation.
Solve x - 8 = 1. Check in the original equation.
Solve x - 5 = 2. Check in the original equation.
Solve x - 7 = 3. Check in the original equation.
Solve x - 6 = 3. Check in the original equation.
Solve x - 5 = 5/2. Check in the original equation.
Solve x - 1 = 5/2. Check in the original equation.
Solve x - 4 = 1. Check in the original equation.
Solve x - 4 = 5/2. Check in the original equation.
Solve x - 3/2 = 0. Check in the original equation.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- x = 19/2
Add 8 on both sides. Then x = 19/2; substitution gives 3/2 on each side.
- x = 9
Add 8 on both sides. Then x = 9; substitution gives 1 on each side.
- x = 7
Add 5 on both sides. Then x = 7; substitution gives 2 on each side.
- x = 10
Add 7 on both sides. Then x = 10; substitution gives 3 on each side.
- x = 9
Add 6 on both sides. Then x = 9; substitution gives 3 on each side.
- x = 15/2
Add 5 on both sides. Then x = 15/2; substitution gives 5/2 on each side.
- x = 7/2
Add 1 on both sides. Then x = 7/2; substitution gives 5/2 on each side.
- x = 5
Add 4 on both sides. Then x = 5; substitution gives 1 on each side.
- x = 13/2
Add 4 on both sides. Then x = 13/2; substitution gives 5/2 on each side.
- x = 3/2
Add 3/2 on both sides. Then x = 3/2; substitution gives 0 on each side.