One Step Equations – Multiply and Divide 1

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Question 1 of 6

1. Question
Solve

$3 x = 18$ $3x=18$
- $x =$ $x=$ (6)
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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 $3$ $3$ by dividing both sides of the equation by $3$ $3$ .

$3$ $3$ $x$ $x$ $=$ $=$ $18$ $18$

$3$ $3$ $x$ $x$ $\div 3$ $-:3$ $=$ $=$ $18$ $18$ $\div 3$ $-:3$

$x$ $x$ $=$ $=$ $6$ $6$ $3 \div 3$ $3-:3$ cancels out

Check our work

To confirm our answer, substitute $x = 6$ $x=6$ to the original equation.

$3 x$ $3x$ $=$ $=$ $18$ $18$

$3 (6)$ $3(6)$ $=$ $=$ $18$ $18$ Substitute $x = 6$ $x=6$

$18$ $18$ $=$ $=$ $18$ $18$

Since the equation is true, the answer is correct.

$x = 6$ $x=6$
Question 2 of 6

2. Question
Solve

$7 p = 77$ $7p=77$
- $p =$ $p=$ (11)
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Inverse Operations

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

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

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

$7$ $7$ $p$ $p$ $=$ $=$ $77$ $77$

$7$ $7$ $p$ $p$ $\div 7$ $-:7$ $=$ $=$ $77$ $77$ $\div 7$ $-:7$

$p$ $p$ $=$ $=$ $11$ $11$ $7 \div 7$ $7-:7$ cancels out

Check our work

To confirm our answer, substitute $p = 11$ $p=11$ to the original equation.

$7 p$ $7p$ $=$ $=$ $77$ $77$

$7 (11)$ $7(11)$ $=$ $=$ $77$ $77$ Substitute $p = 11$ $p=11$

$77$ $77$ $=$ $=$ $77$ $77$

Since the equation is true, the answer is correct.

$p = 11$ $p=11$
Question 3 of 6

3. Question
Solve

$8 y = 72$ $8y=72$
- $y =$ $y=$ (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 $y$ $y$ , it needs to be alone on one side.

Remove $8$ $8$ by dividing both sides of the equation by $8$ $8$ .

$8$ $8$ $y$ $y$ $=$ $=$ $72$ $72$

$8$ $8$ $y$ $y$ $\div 8$ $-:8$ $=$ $=$ $72$ $72$ $\div 8$ $-:8$

$y$ $y$ $=$ $=$ $9$ $9$ $8 \div 8$ $8-:8$ cancels out

Check our work

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

$8 y$ $8y$ $=$ $=$ $72$ $72$

$8 (9)$ $8(9)$ $=$ $=$ $72$ $72$ Substitute $y = 9$ $y=9$

$72$ $72$ $=$ $=$ $72$ $72$

Since the equation is true, the answer is correct.

$y = 9$ $y=9$
Question 4 of 6

4. Question
Solve for $x$ $x$

$4 x = 12$ $4x=12$
- $x =$ $x=$ (3)
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Isolate the $x$ $x$ variable on one side of the equation

$4 x$ $4x$ $\div 4$ $divide4$ $=$ $=$ $12$ $12$ $\div 4$ $divide4$ Divide both sides by $4$ $4$

$4$ $4$ $x$ $x$ $\div 4$ $divide4$ $=$ $=$ $12$ $12$ $\div 4$ $divide4$ $\times 4 \div 4$ $times4divide4$ cancels out

$x$ $x$ $=$ $=$ $3$ $3$

$x = 3$ $x=3$
Question 5 of 6

5. Question
Solve for $a$ $a$

$5 a = 30$ $5a=30$
- $a =$ $a=$ (6)
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Isolate the $a$ $a$ variable on one side of the equation

$5 a$ $5a$ $\div 5$ $divide5$ $=$ $=$ $30$ $30$ $\div 5$ $divide5$ Divide both sides by $5$ $5$

$5$ $5$ $a$ $a$ $\div 5$ $divide5$ $=$ $=$ $30$ $30$ $\div 5$ $divide5$ $\times 5 \div 5$ $times5divide5$ cancels out

$a$ $a$ $=$ $=$ $6$ $6$

$a = 6$ $a=6$
Question 6 of 6

6. Question
Solve for $y$ $y$

$2 y = 18$ $2y=18$
- $y =$ $y=$ (9)
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Isolate the $y$ $y$ variable on one side of the equation

$2 y$ $2y$ $\div 2$ $divide2$ $=$ $=$ $18$ $divide2$ Divide both sides by $2$

$2$ $y$ $divide2$ $=$ $18$ $divide2$ $times2divide2$ cancels out

$y$ $=$ $9$

$y=9$

One Step Equations – Multiply and Divide 1

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Quiz summary

Information

1. Question

Hint

Keep Going!

Inverse Operations

2. Question

Hint

Correct!

Inverse Operations

3. Question

Hint

Fantastic!

Inverse Operations

4. Question

Hint

Well Done!

5. Question

Hint

Keep Going!

6. Question

Hint

Exceptional!

Quizzes

$3$ $3$ $x$ $x$	$=$ $=$	$18$ $18$
$3$ $3$ $x$ $x$ $\div 3$ $-:3$	$=$ $=$	$18$ $18$ $\div 3$ $-:3$
$x$ $x$	$=$ $=$	$6$ $6$	$3 \div 3$ $3-:3$ cancels out

$3 x$ $3x$	$=$ $=$	$18$ $18$
$3 (6)$ $3(6)$	$=$ $=$	$18$ $18$	Substitute $x = 6$ $x=6$
$18$ $18$	$=$ $=$	$18$ $18$

$7$ $7$ $p$ $p$	$=$ $=$	$77$ $77$
$7$ $7$ $p$ $p$ $\div 7$ $-:7$	$=$ $=$	$77$ $77$ $\div 7$ $-:7$
$p$ $p$	$=$ $=$	$11$ $11$	$7 \div 7$ $7-:7$ cancels out

$7 p$ $7p$	$=$ $=$	$77$ $77$
$7 (11)$ $7(11)$	$=$ $=$	$77$ $77$	Substitute $p = 11$ $p=11$
$77$ $77$	$=$ $=$	$77$ $77$

$8$ $8$ $y$ $y$	$=$ $=$	$72$ $72$
$8$ $8$ $y$ $y$ $\div 8$ $-:8$	$=$ $=$	$72$ $72$ $\div 8$ $-:8$
$y$ $y$	$=$ $=$	$9$ $9$	$8 \div 8$ $8-:8$ cancels out

$8 y$ $8y$	$=$ $=$	$72$ $72$
$8 (9)$ $8(9)$	$=$ $=$	$72$ $72$	Substitute $y = 9$ $y=9$
$72$ $72$	$=$ $=$	$72$ $72$

$4 x$ $4x$ $\div 4$ $divide4$	$=$ $=$	$12$ $12$ $\div 4$ $divide4$	Divide both sides by $4$ $4$
$4$ $4$ $x$ $x$ $\div 4$ $divide4$	$=$ $=$	$12$ $12$ $\div 4$ $divide4$	$\times 4 \div 4$ $times4divide4$ cancels out
$x$ $x$	$=$ $=$	$3$ $3$

$5 a$ $5a$ $\div 5$ $divide5$	$=$ $=$	$30$ $30$ $\div 5$ $divide5$	Divide both sides by $5$ $5$
$5$ $5$ $a$ $a$ $\div 5$ $divide5$	$=$ $=$	$30$ $30$ $\div 5$ $divide5$	$\times 5 \div 5$ $times5divide5$ cancels out
$a$ $a$	$=$ $=$	$6$ $6$

$2 y$ $2y$ $\div 2$ $divide2$	$=$ $=$	$18$ $divide2$	Divide both sides by $2$
$2$ $y$ $divide2$	$=$	$18$ $divide2$	$times2divide2$ cancels out
$y$	$=$	$9$