Day 094Solving Multiplication Equations

Standards 6.EE.B.7

LEARNING TARGET

I can solve px = q using division.

01 · LEARN

Build the idea

Divide both sides by the nonzero coefficient p. Keep the equation balanced. Check by multiplying the proposed solution by p.

WORKED EXAMPLE 1

Solve 2 × x = 10. Check in the original equation.

x = 5

Divide by 2 on both sides. Then x = 5; substitution gives 10 on each side.

WORKED EXAMPLE 2

Solve 7/2 × x = 21/4. Check in the original equation.

x = 3/2

Divide by 7/2 on both sides. Then x = 3/2; substitution gives 21/4 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
Divide by 4 on both sides. Then x = 7; substitution gives 28 on each side.
x = 4
Divide by 6 on both sides. Then x = 4; substitution gives 24 on each side.
x = 3
Divide by 3 on both sides. Then x = 3; substitution gives 9 on each side.
x = 3
Divide by 4 on both sides. Then x = 3; substitution gives 12 on each side.
x = 2
Divide by 2 on both sides. Then x = 2; substitution gives 4 on each side.
x = 5/2
Divide by 6 on both sides. Then x = 5/2; substitution gives 15 on each side.
x = 1
Divide by 3/2 on both sides. Then x = 1; substitution gives 3/2 on each side.
x = 1
Divide by 3 on both sides. Then x = 1; substitution gives 3 on each side.
x = 5/2
Divide by 3/2 on both sides. Then x = 5/2; substitution gives 15/4 on each side.
x = 2
Divide by 1 on both sides. Then x = 2; substitution gives 2 on each side.