One Step Equations – Multiply and Divide 4

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Question 1 of 5

Solve

- 3 y = - 4 \frac{1}{5}

$-3y=-4 1/5$

1. $y = \frac{1}{5}$ $y=1/5$
2. $y = 5 \frac{1}{2}$ $y=5 1/2$
3. $y = 2 \frac{1}{5}$ $y=2 1/5$
4. $y = 1 \frac{2}{5}$ $y=1 2/5$

Question 2 of 5

Solve

- 15 = \frac{x}{- 8}

$-15=x/(-8)$

$x =$ $x=$ (120)

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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}{- 8}

$1/(-8)$ by multiplying both sides of the equation by

- 8

$-8$ .

$- 15$ $-15$	$=$ $=$	$\frac{\color{#00880A}{x}}{-8}$

$- 15$ $-15$ $\times (- 8)$ $times(-8)$	$=$ $=$	$\frac{\color{#00880A}{x}}{-8} \color{#CC0000}{\times(-8)}$

$120$ $120$	$=$ $=$	$x$ $x$	$\frac{1}{- 8} \times (- 8)$ $1/(-8) times (-8)$ cancels out
$x$ $x$	$=$ $=$	$120$ $120$

Check our work

To confirm our answer, substitute

x = 120

$x=120$ to the original equation.

$- 15$ $-15$	$=$ $=$	$\frac{x}{- 8}$ $x/(-8)$

$- 15$ $-15$	$=$ $=$	$\frac{120}{- 8}$ $(120)/(-8)$	Substitute $x = 120$ $x=120$

$- 15$ $-15$	$=$ $=$	$- 15$ $-15$

Since the equation is true, the answer is correct.

x = 120

$x=120$

Question 3 of 5

Solve

\frac{- m}{9} = - 4

$(-m)/9=-4$

$m =$ $m=$ (36)

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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

\frac{- 1}{9}

$(-1)/9$ by multiplying both sides of the equation by

- 9

$-9$ .

$\frac{-\color{#00880A}{m}}{9}$	$=$ $=$	$- 4$ $-4$

$\frac{-\color{#00880A}{m}}{9} \color{#CC0000}{\times(-9)}$	$=$ $=$	$- 4$ $-4$ $\times (- 9)$ $times(-9)$

$\frac{9\color{#00880A}{m}}{9}$	$=$ $=$	$36$ $36$

$m$ $m$	$=$ $=$	$36$ $36$	$\frac{9}{9}$ $9/9$ cancels out

Check our work

To confirm our answer, substitute

m = 36

$m=36$ to the original equation.

$\frac{- m}{9}$ $(-m)/9$	$=$ $=$	$- 4$ $-4$

$\frac{- 36}{9}$ $(-36)/9$	$=$ $=$	$- 4$ $-4$	Substitute $m = 36$ $m=36$

$- 4$ $-4$	$=$ $=$	$- 4$ $-4$

Since the equation is true, the answer is correct.

m = 36

$m=36$

Question 4 of 5

Solve

\frac{- 70}{u} = 5

$(-70)/u=5$

$u =$ $u=$ (-14)

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Inverse Operations

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

First, make sure that the variable is not a denominator by multiplying both sides of the equation by

u

$u$ .

$\frac{-70}{\color{#00880A}{u}}$	$=$ $=$	$5$ $5$

$\frac{-70}{\color{#00880A}{u}} \times u$	$=$ $=$	$5$ $5$ $\times u$ $times u$

$- 70$ $-70$	$=$ $=$	$5$ $5$ $u$ $u$	$\frac{1}{u} \times u$ $1/u times u$ cancels out

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

Remove

5

$5$ by dividing both sides of the equation by

5

$5$ .

$- 70$ $-70$	$=$ $=$	$5$ $5$ $u$ $u$
$- 70$ $-70$ $\div 5$ $-:5$	$=$ $=$	$5$ $5$ $u$ $u$ $\div 5$ $-:5$
$- 14$ $-14$	$=$ $=$	$u$ $u$	$5 \div 5$ $5-:5$ cancels out
$u$ $u$	$=$ $=$	$- 14$ $-14$

Check our work

To confirm our answer, substitute

u = - 14

$u=-14$ to the original equation.

$\frac{- 70}{u}$ $(-70)/u$	$=$ $=$	$5$ $5$

$\frac{- 70}{- 14}$ $(-70)/(-14)$	$=$ $=$	$5$ $5$	Substitute $u = - 14$ $u=-14$

$5$ $5$	$=$ $=$	$5$ $5$

Since the equation is true, the answer is correct.

u = - 14

$u=-14$

Question 5 of 5

5. Question
Solve

$\frac{12}{a} = - 6$ $(12)/a=-6$
- $a =$ $a=$ (-2)
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Inverse Operations

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

First, make sure that the variable is not a denominator by multiplying both sides of the equation by $a$ $a$ .

$\frac{12}{\color{#00880A}{a}}$ $=$ $=$ $- 6$ $-6$

$\frac{12}{\color{#00880A}{a}} \times a$ $=$ $=$ $- 6$ $-6$ $\times a$ $times a$

$12$ $12$ $=$ $=$ $- 6$ $-6$ $a$ $a$ $\frac{1}{a} \times a$ $1/a times a$ cancels out

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

Remove $5$ $5$ by dividing both sides of the equation by $5$ $5$ .

$12$ $12$ $=$ $=$ $- 6$ $-6$ $a$ $a$

$12$ $12$ $\div (- 6)$ $-:(-6)$ $=$ $=$ $- 6$ $-6$ $a$ $a$ $\div (- 6)$ $-:(-6)$

$- 2$ $-2$ $=$ $=$ $a$ $a$ $(- 6) \div (- 6)$ $(-6)-:(-6)$ cancels out

$a$ $a$ $=$ $=$ $- 2$ $-2$

Check our work

To confirm our answer, substitute $a = - 2$ $a=-2$ to the original equation.

$\frac{12}{a}$ $(12)/a$ $=$ $=$ $- 6$ $-6$

$\frac{12}{- 2}$ $(12)/(-2)$ $=$ $=$ $- 6$ $-6$ Substitute $a = - 2$ $a=-2$

$- 6$ $-6$ $=$ $=$ $- 6$ $-6$

Since the equation is true, the answer is correct.

$a = - 2$ $a=-2$

$- 3$ $-3$ $y$ $y$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$

$- 3$ $-3$ $y$ $y$	$=$ $=$	$- \frac{21}{5}$ $-21/5$	Turn the mixed number into an improper fraction

$- 3$ $-3$ $y$ $y$ $\div (- 3)$ $-:(-3)$	$=$ $=$	$\frac{- 21}{5}$ $(-21)/5$ $\div (- 3)$ $-:(-3)$

$y$ $y$	$=$ $=$	$\frac{- 21}{5}$ $(-21)/5$ $\times \frac{1}{- 3}$ $times 1/(-3)$	$- 3 \div - 3$ $-3-:-3$ cancels out

$y$ $y$	$=$ $=$	$\frac{- 21}{- 15}$ $(-21)/(-15)$	Simplify

$y$ $y$	$=$ $=$	$\frac{7}{5}$ $7/5$

$y$ $y$	$=$ $=$	$1 \frac{2}{5}$ $1 2/5$	Turn the improper fraction back to a mixed number

$- 3 y$ $-3y$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$

$- 3 (1 \frac{2}{5})$ $-3(1 2/5)$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$	Substitute $y = 1 \frac{2}{5}$ $y=1 2/5$

$- 3 (\frac{7}{5})$ $-3(7/5)$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$	Turn the mixed number into an improper fraction

$\frac{- 21}{5}$ $(-21)/5$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$

$- 4 \frac{1}{5}$ $-4 1/5$	$=$ $=$	$- 4 \frac{1}{5}$ $-4 1/5$	Turn the improper fraction back to a mixed number

One Step Equations – Multiply and Divide 4

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Quiz summary

Information

1. Question

Hint

Excellent!

Inverse Operations

2. Question

Hint

Keep Going!

Inverse Operations

3. Question

Hint

Great Work!

Inverse Operations

4. Question

Hint

Correct!

Inverse Operations

5. Question

Hint

Well Done!

Inverse Operations

Quizzes

$\frac{12}{\color{#00880A}{a}}$	$=$ $=$	$- 6$ $-6$

$\frac{12}{\color{#00880A}{a}} \times a$	$=$ $=$	$- 6$ $-6$ $\times a$ $times a$

$12$ $12$	$=$ $=$	$- 6$ $-6$ $a$ $a$	$\frac{1}{a} \times a$ $1/a times a$ cancels out

$\frac{12}{a}$ $(12)/a$	$=$ $=$	$- 6$ $-6$

$\frac{12}{- 2}$ $(12)/(-2)$	$=$ $=$	$- 6$ $-6$	Substitute $a = - 2$ $a=-2$

$- 6$ $-6$	$=$ $=$	$- 6$ $-6$