Day 096Solving Division Equations

Standards 6.EE.B.7

LEARNING TARGET

I can solve x/p = q using multiplication.

01 · LEARN

Build the idea

Multiply both sides by the nonzero divisor p. Check by dividing the solution by p. Name the unknown quantity and attach its unit in a story problem.

WORKED EXAMPLE 1

Solve x ÷ 4 = 7/4. Check in the original equation.

x = 7

Multiply by 4 on both sides. Then x = 7; substitution gives 7/4 on each side.

WORKED EXAMPLE 2

Solve x ÷ 7/2 = 5/7. Check in the original equation.

x = 5/2

Multiply by 7/2 on both sides. Then x = 5/2; substitution gives 5/7 on each side.

02 · PRACTICE

Work in order. Start with the foundations, then build toward explanation and application.

03 · CHECK

Reveal the teacher answer key

x = 7
Multiply by 8 on both sides. Then x = 7; substitution gives 7/8 on each side.
x = 6
Multiply by 5 on both sides. Then x = 6; substitution gives 6/5 on each side.
x = 6
Multiply by 7 on both sides. Then x = 6; substitution gives 6/7 on each side.
x = 5/2
Multiply by 8 on both sides. Then x = 5/2; substitution gives 5/16 on each side.
x = 2
Multiply by 6 on both sides. Then x = 2; substitution gives 1/3 on each side.
x = 5/2
Multiply by 3 on both sides. Then x = 5/2; substitution gives 5/6 on each side.
x = 5/2
Multiply by 2 on both sides. Then x = 5/2; substitution gives 5/4 on each side.
x = 3
Multiply by 1 on both sides. Then x = 3; substitution gives 3 on each side.
x = 3
Multiply by 7/2 on both sides. Then x = 3; substitution gives 6/7 on each side.
x = 2
Multiply by 7/2 on both sides. Then x = 2; substitution gives 4/7 on each side.