One Step Equations – Multiply and Divide 3

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Question 1 of 6

Solve

\frac{m}{3} = 8.5

$m/3=8.5$

$m =$ $m=$ (25.5)

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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}{3}

$1/3$ by multiplying both sides of the equation by

3

$3$ .

$\frac{\color{#00880A}{m}}{3}$	$=$ $=$	$8.5$ $8.5$

$\frac{\color{#00880A}{m}}{3} \color{#CC0000}{\times3}$	$=$ $=$	$8.5$ $8.5$ $\times 3$ $times3$

$m$ $m$	$=$ $=$	$25.5$ $25.5$	$\frac{1}{3} \times 3$ $1/3 times 3$ cancels out

Check our work

To confirm our answer, substitute

m = 25.5

$m=25.5$ to the original equation.

$\frac{m}{3}$ $m/3$	$=$ $=$	$8.5$ $8.5$

$\frac{25.5}{3}$ $25.5/3$	$=$ $=$	$8.5$ $8.5$	Substitute $m = 25.5$ $m=25.5$

$8.5$ $8.5$	$=$ $=$	$8.5$ $8.5$

Since the equation is true, the answer is correct.

m = 25.5

$m=25.5$

Question 2 of 6

2. Question
Solve

$4 n = 3$ $4n=3$

Write fractions as “a/b”
- $n =$ $n=$ (3/4)
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Inverse Operations

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

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

Remove $4$ $4$ by dividing both sides of the equation by $4$ $4$ .

$4$ $4$ $n$ $n$ $=$ $=$ $3$ $3$

$4$ $4$ $n$ $n$ $\div 4$ $-:4$ $=$ $=$ $3$ $3$ $\div 4$ $-:4$

$n$ $n$ $=$ $=$ $\frac{3}{4}$ $3/4$ $4 \div 4$ $4-:4$ cancels out

Check our work

To confirm our answer, substitute $n = \frac{3}{4}$ $n=3/4$ to the original equation.

$4 n$ $4n$ $=$ $=$ $3$ $3$

$4 (\frac{3}{4})$ $4(3/4)$ $=$ $=$ $3$ $3$ Substitute $n = \frac{3}{4}$ $n=3/4$

$\frac{12}{4}$ $(12)/4$ $=$ $=$ $3$ $3$

$3$ $3$ $=$ $=$ $3$ $3$

Since the equation is true, the answer is correct.

$n = \frac{3}{4}$ $n=3/4$

Question 3 of 6

Solve

\frac{y}{- 5} = 8

$y/(-5)=8$

$y =$ $y=$ (-40)

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Inverse Operations

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

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

Remove

\frac{1}{- 5}

$1/(-5)$ by multiplying both sides of the equation by

- 5

$-5$ .

$\frac{\color{#00880A}{y}}{-5}$	$=$ $=$	$8$ $8$

$\frac{\color{#00880A}{y}}{-5} \color{#CC0000}{\times(-5)}$	$=$ $=$	$8$ $8$ $\times (- 5)$ $times(-5)$

$y$ $y$	$=$ $=$	$- 40$ $-40$	$\frac{1}{- 5} \times (- 5)$ $1/(-5) times (-5)$ cancels out

Check our work

To confirm our answer, substitute

y = - 40

$y=-40$ to the original equation.

$\frac{y}{- 5}$ $y/(-5)$	$=$ $=$	$8$ $8$

$\frac{- 40}{- 5}$ $(-40)/(-5)$	$=$ $=$	$8$ $8$	Substitute $y = - 40$ $y=-40$

$8$ $8$	$=$ $=$	$8$ $8$

Since the equation is true, the answer is correct.

y = - 40

$y=-40$

Question 4 of 6

Solve

\frac{- e}{7} = - 2

$(-e)/7=-2$

$e =$ $e=$ (14)

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Inverse Operations

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

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

Remove

\frac{- 1}{7}

$(-1)/7$ by multiplying both sides of the equation by

- 7

$-7$ .

$\frac{-\color{#00880A}{e}}{7}$	$=$ $=$	$- 2$ $-2$

$\frac{-\color{#00880A}{e}}{7} \color{#CC0000}{\times(-7)}$	$=$ $=$	$- 2$ $-2$ $\times (- 7)$ $times(-7)$

$\frac{7\color{#00880A}{e}}{7}$	$=$ $=$	$14$ $14$

$e$ $e$	$=$ $=$	$14$ $14$	$\frac{7}{7}$ $7/7$ cancels out

Check our work

To confirm our answer, substitute

e = 14

$e=14$ to the original equation.

$\frac{- e}{7}$ $(-e)/7$	$=$ $=$	$- 2$ $-2$

$\frac{- 14}{7}$ $(-14)/7$	$=$ $=$	$- 2$ $-2$	Substitute $e = 14$ $e=14$

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

Since the equation is true, the answer is correct.

e = 14

$e=14$

Question 5 of 6

Solve

\frac{m}{10} = - 7.3

$m/10=-7.3$

$m =$ $m=$ (-73)

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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}{10}

$1/10$ by multiplying both sides of the equation by

10

$10$ .

$\frac{\color{#00880A}{m}}{10}$	$=$ $=$	$- 7.3$ $-7.3$

$\frac{\color{#00880A}{m}}{10} \color{#CC0000}{\times10}$	$=$ $=$	$- 7.3$ $-7.3$ $\times 10$ $times10$

$m$ $m$	$=$ $=$	$- 73$ $-73$	$\frac{1}{10} \times 10$ $1/(10) times 10$ cancels out

Check our work

To confirm our answer, substitute

m = - 73

$m=-73$ to the original equation.

$\frac{m}{10}$ $m/10$	$=$ $=$	$- 7.3$ $-7.3$

$\frac{- 73}{10}$ $(-73)/(10)$	$=$ $=$	$- 7.3$ $-7.3$	Substitute $m = - 73$ $m=-73$

$- 7.3$ $-7.3$	$=$ $=$	$- 7.3$ $-7.3$

Since the equation is true, the answer is correct.

m = - 73

$m=-73$

Question 6 of 6

Solve

\frac{y}{3} = - 1 \frac{1}{2}

$y/3=-1 1/2$

1. $t = - 4 \frac{1}{2}$ $t=-4 1/2$
2. $t = - 4 \frac{3}{4}$ $t=-4 3/4$
3. $t = - 3 \frac{1}{4}$ $t=-3 1/4$
4. $t = - 2 \frac{1}{4}$ $t=-2 1/4$

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Inverse Operations

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

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

Remove

\frac{1}{3}

$1/3$ by multiplying both sides of the equation by

3

$3$ .

$\frac{\color{#00880A}{t}}{3}$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

$\frac{\color{#00880A}{t}}{3}$	$=$ $=$	$- \frac{3}{2}$ $-3/2$	Turn the mixed number into an improper fraction

$\frac{\color{#00880A}{t}}{3} \color{#CC0000}{\times3}$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$ $\times 3$ $times3$	Multiply $3$ $3$ to both sides

$t$ $t$	$=$ $=$	$- \frac{9}{2}$ $-9/2$	$\frac{1}{3} \times 3$ $1/(3) times 3$ cancels out

$t$ $t$	$=$ $=$	$- 4 \frac{1}{2}$ $-4 1/2$	Turn the improper fraction back to a mixed number

Check our work

To confirm our answer, substitute

t = - 4 \frac{1}{2}

$t=-4 1/2$ to the original equation.

$\frac{t}{3}$ $t/3$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

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

$\frac{- \frac{9}{2}}{3}$ $(-9/2)/3$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

$- \frac{9}{2} \times \frac{1}{3}$ $-9/2times1/3$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

$- \frac{9}{6}$ $-9/6$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

$- 1 \frac{1}{2}$ $-1 1/2$	$=$ $=$	$- 1 \frac{1}{2}$ $-1 1/2$

Since the equation is true, the answer is correct.

t = - 4 \frac{1}{2}

$t=-4 1/2$

One Step Equations – Multiply and Divide 3

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Quiz summary

Information

1. Question

Hint

Well Done!

Inverse Operations

2. Question

Hint

Nice Job!

Inverse Operations

3. Question

Hint

Fantastic!

Inverse Operations

4. Question

Hint

Exceptional!

Inverse Operations

5. Question

Hint

Correct!

Inverse Operations

6. Question

Hint

Well Done!

Inverse Operations

Quizzes

$4$ $4$ $n$ $n$	$=$ $=$	$3$ $3$
$4$ $4$ $n$ $n$ $\div 4$ $-:4$	$=$ $=$	$3$ $3$ $\div 4$ $-:4$

$n$ $n$	$=$ $=$	$\frac{3}{4}$ $3/4$	$4 \div 4$ $4-:4$ cancels out

$4 n$ $4n$	$=$ $=$	$3$ $3$

$4 (\frac{3}{4})$ $4(3/4)$	$=$ $=$	$3$ $3$	Substitute $n = \frac{3}{4}$ $n=3/4$

$\frac{12}{4}$ $(12)/4$	$=$ $=$	$3$ $3$

$3$ $3$	$=$ $=$	$3$ $3$