One Step Equations – Multiply and Divide 2

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Question 1 of 5

1. Question
Solve

$7 m = - 63$ $7m=-63$
- $m =$ $m=$ (-9)
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Inverse Operations

When moving a term to the other side of an equation, the operation is inversed.

To solve for $m$ $m$ , it needs to be alone on one side.

Remove $7$ $7$ by dividing both sides of the equation by $7$ $7$ .

$7$ $7$ $m$ $m$ $=$ $=$ $- 63$ $-63$

$7$ $7$ $m$ $m$ $\div 7$ $-:7$ $=$ $=$ $- 63$ $-63$ $\div 7$ $-:7$

$m$ $m$ $=$ $=$ $- 9$ $-9$ $7 \div 7$ $7-:7$ cancels out

Check our work

To confirm our answer, substitute $m = - 9$ $m=-9$ to the original equation.

$7 m$ $7m$ $=$ $=$ $- 63$ $-63$

$7 (- 9)$ $7(-9)$ $=$ $=$ $- 63$ $-63$ Substitute $m = - 9$ $m=-9$

$- 63$ $-63$ $=$ $=$ $- 63$ $-63$

Since the equation is true, the answer is correct.

$m = - 9$ $m=-9$
Question 2 of 5

2. Question
Solve

$10 b = 1030$ $10b=1030$
- $b =$ $b=$ (103)
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Inverse Operations

When moving a term to the other side of an equation, the operation is inversed.

To solve for $b$ $b$ , it needs to be alone on one side.

Remove $10$ $10$ by dividing both sides of the equation by $10$ $10$ .

$10$ $10$ $b$ $b$ $=$ $=$ $1030$ $1030$

$10$ $10$ $b$ $b$ $\div 10$ $-:10$ $=$ $=$ $1030$ $1030$ $\div 10$ $-:10$

$b$ $b$ $=$ $=$ $103$ $103$ $10 \div 10$ $10-:10$ cancels out

Check our work

To confirm our answer, substitute $b = 103$ $b=103$ to the original equation.

$10 b$ $10b$ $=$ $=$ $1030$ $1030$

$10 (103)$ $10(103)$ $=$ $=$ $1030$ $1030$ Substitute $b = 103$ $b=103$

$1030$ $1030$ $=$ $=$ $1030$ $1030$

Since the equation is true, the answer is correct.

$b = 103$ $b=103$
Question 3 of 5

3. Question
Solve for $x$ $x$

$\frac{x}{3} = 7$ $x/3 = 7$
- $x =$ $x=$ (21)
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Isolate the $x$ $x$ variable on one side of the equation

$\frac{x}{3}$ $frac{x}{3}$ $\times 3$ $times3$ $=$ $=$ $7$ $7$ $\times 3$ $times3$ Multiply both sides by $3$ $3$

$\frac{3 x}{3}$ $frac{3x}{3}$ $=$ $=$ $7$ $7$ $\times 3$ $times3$

$x$ $x$ $=$ $=$ $21$ $21$ The coefficient $\frac{3}{3}$ $3/3$ cancels out

$x = 21$ $x=21$
Question 4 of 5

4. Question
Solve for $a$ $a$

$\frac{a}{4} = 5$ $a/4 = 5$
- $a =$ $a=$ (20)
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Isolate the $a$ $a$ variable on one side of the equation

$\frac{a}{4}$ $frac{a}{4}$ $\times 4$ $times4$ $=$ $=$ $5$ $5$ $\times 4$ $times4$ Multiply both sides by $4$ $4$

$\frac{4 a}{4}$ $frac{4a}{4}$ $=$ $=$ $5$ $5$ $\times 4$ $times4$

$a$ $a$ $=$ $=$ $20$ $20$ The coefficient $\frac{4}{4}$ $4/4$ cancels out

$a = 20$ $a=20$
Question 5 of 5

5. Question
Solve

$\frac{x}{6} = 4$ $x/6=4$
- $x =$ $x=$ (24)
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Inverse Operations

When moving a term to the other side of an equation, the operation is inversed.

To solve for $x$ $x$ , it needs to be alone on one side.

Remove $\frac{1}{6}$ $1/6$ by multiplying both sides of the equation by $6$ $6$ .

$\frac{\color{#00880A}{x}}{6}$ $=$ $=$ $4$ $4$

$\frac{\color{#00880A}{x}}{6} \color{#CC0000}{\times6}$ $=$ $=$ $4$ $4$ $\times 6$ $times6$

$x$ $x$ $=$ $=$ $24$ $24$ $\frac{1}{6} \times 6$ $1/6 times 6$ cancels out

Check our work

To confirm our answer, substitute $x = 24$ $x=24$ to the original equation.

$\frac{x}{6}$ $x/6$ $=$ $=$ $4$ $4$

$\frac{24}{6}$ $24/6$ $=$ $=$ $4$ $4$ Substitute $x = 24$ $x=24$

$4$ $4$ $=$ $=$ $4$ $4$

Since the equation is true, the answer is correct.

$x = 24$ $x=24$

One Step Equations – Multiply and Divide 2

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Quiz summary

Information

1. Question

Hint

Great Work!

Inverse Operations

2. Question

Hint

Excellent!

Inverse Operations

3. Question

Hint

Fantastic!

4. Question

Hint

Great Work!

5. Question

Hint

Nice Job!

Inverse Operations

Quizzes

$7$ $7$ $m$ $m$	$=$ $=$	$- 63$ $-63$
$7$ $7$ $m$ $m$ $\div 7$ $-:7$	$=$ $=$	$- 63$ $-63$ $\div 7$ $-:7$
$m$ $m$	$=$ $=$	$- 9$ $-9$	$7 \div 7$ $7-:7$ cancels out

$7 m$ $7m$	$=$ $=$	$- 63$ $-63$
$7 (- 9)$ $7(-9)$	$=$ $=$	$- 63$ $-63$	Substitute $m = - 9$ $m=-9$
$- 63$ $-63$	$=$ $=$	$- 63$ $-63$

$10$ $10$ $b$ $b$	$=$ $=$	$1030$ $1030$
$10$ $10$ $b$ $b$ $\div 10$ $-:10$	$=$ $=$	$1030$ $1030$ $\div 10$ $-:10$
$b$ $b$	$=$ $=$	$103$ $103$	$10 \div 10$ $10-:10$ cancels out

$10 b$ $10b$	$=$ $=$	$1030$ $1030$
$10 (103)$ $10(103)$	$=$ $=$	$1030$ $1030$	Substitute $b = 103$ $b=103$
$1030$ $1030$	$=$ $=$	$1030$ $1030$

$\frac{x}{3}$ $frac{x}{3}$ $\times 3$ $times3$	$=$ $=$	$7$ $7$ $\times 3$ $times3$	Multiply both sides by $3$ $3$

$\frac{3 x}{3}$ $frac{3x}{3}$	$=$ $=$	$7$ $7$ $\times 3$ $times3$

$x$ $x$	$=$ $=$	$21$ $21$	The coefficient $\frac{3}{3}$ $3/3$ cancels out

$\frac{a}{4}$ $frac{a}{4}$ $\times 4$ $times4$	$=$ $=$	$5$ $5$ $\times 4$ $times4$	Multiply both sides by $4$ $4$

$\frac{4 a}{4}$ $frac{4a}{4}$	$=$ $=$	$5$ $5$ $\times 4$ $times4$

$a$ $a$	$=$ $=$	$20$ $20$	The coefficient $\frac{4}{4}$ $4/4$ cancels out

$\frac{\color{#00880A}{x}}{6}$	$=$ $=$	$4$ $4$

$\frac{\color{#00880A}{x}}{6} \color{#CC0000}{\times6}$	$=$ $=$	$4$ $4$ $\times 6$ $times6$

$x$ $x$	$=$ $=$	$24$ $24$	$\frac{1}{6} \times 6$ $1/6 times 6$ cancels out

$\frac{x}{6}$ $x/6$	$=$ $=$	$4$ $4$

$\frac{24}{6}$ $24/6$	$=$ $=$	$4$ $4$	Substitute $x = 24$ $x=24$

$4$ $4$	$=$ $=$	$4$ $4$