One Step Equations – Add and Subtract 3

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Question 1 of 5

1. Question
Solve

$y - 30 = 55$ $y-30=55$
- $y =$ $y=$ (85)
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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.

Move $30$ $30$ to the other side by adding $30$ $30$ to both sides of the equation.

$y$ $y$ $- 30$ $-30$ $=$ $=$ $55$ $55$

$y$ $y$ $- 30$ $-30$ $+ 30$ $+30$ $=$ $=$ $55$ $55$ $+ 30$ $+30$

$y$ $y$ $=$ $=$ $85$ $85$ $- 30 + 30$ $-30+30$ cancels out

Check our work

To confirm our answer, substitute $y = 85$ $y=85$ to the original equation.

$y - 30$ $y-30$ $=$ $=$ $55$ $55$

$85 - 30$ $85-30$ $=$ $=$ $55$ $55$ Substitute $y = 85$ $y=85$

$55$ $55$ $=$ $=$ $55$ $55$

Since the equation is true, the answer is correct.

$y = 85$ $y=85$
Question 2 of 5

2. Question
Solve

$26 - s = 2$ $26-s=2$
- $s =$ $s=$ (24)
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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 positive by adding $s$ $s$ to both sides of the equation.

$26 -$ $26-$ $s$ $s$ $=$ $=$ $2$ $2$

$26 -$ $26-$ $s$ $s$ $+ s$ $+s$ $=$ $=$ $2$ $2$ $+ s$ $+s$

$26$ $26$ $=$ $=$ $2 +$ $2+$ $s$ $s$ $- s + s$ $-s+s$ cancels out

Now, to solve for $s$ $s$ , it needs to be alone on one side.

Move $2$ $2$ to the other side by subtracting $2$ $2$ from both sides of the equation.

$26$ $26$ $=$ $=$ $2 +$ $2+$ $s$ $s$

$26$ $26$ $- 2$ $-2$ $=$ $=$ $2 +$ $2+$ $s$ $s$ $- 2$ $-2$

$24$ $24$ $=$ $=$ $s$ $s$ $2 - 2$ $2-2$ cancels out

$s$ $s$ $=$ $=$ $24$ $24$

Check our work

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

$26 - s$ $26-s$ $=$ $=$ $2$ $2$

$26 - 24$ $26-24$ $=$ $=$ $2$ $2$ Substitute $s = 24$ $s=24$

$2$ $2$ $=$ $=$ $2$ $2$

Since the equation is true, the answer is correct.

$s = 24$ $s=24$
Question 3 of 5

3. Question
Solve

$n + 5 = - 8$ $n+5=-8$
- $n =$ $n=$ (-13)
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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.

Move $5$ $5$ to the other side by subtracting $5$ $5$ from both sides of the equation.

$n$ $n$ $+ 5$ $+5$ $=$ $=$ $- 8$ $-8$

$n$ $n$ $+ 5$ $+5$ $- 5$ $-5$ $=$ $=$ $- 8$ $-8$ $- 5$ $-5$

$n$ $n$ $=$ $=$ $- 13$ $-13$ $5 - 5$ $5-5$ cancels out

Check our work

To confirm our answer, substitute $n = - 13$ $n=-13$ to the original equation.

$n + 5$ $n+5$ $=$ $=$ $- 8$ $-8$

$- 13 + 5$ $-13+5$ $=$ $=$ $- 8$ $-8$ Substitute $n = - 13$ $n=-13$

$- 8$ $-8$ $=$ $=$ $- 8$ $-8$

Since the equation is true, the answer is correct.

$n = - 13$ $n=-13$
Question 4 of 5

4. Question
Solve for $x$ $x$

$x - 4 = 10$ $x-4=10$
- $x =$ $x=$ (14)
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Isolate the $x$ $x$ variable on one side of the equation

$x - 4$ $x-4$ $+ 4$ $+4$ $=$ $=$ $10$ $10$ $+ 4$ $+4$ Add $4$ $4$ to both sides

$x$ $x$ $- 4$ $-4$ $+ 4$ $+4$ $=$ $=$ $10$ $10$ $+ 4$ $+4$ $- 4 + 4$ $-4+4$ cancels out

$x$ $x$ $=$ $=$ $14$ $14$

$x = 14$ $x=14$
Question 5 of 5

5. Question
Solve for $a$ $a$

$a - 30 = 100$ $a-30=100$
- $a =$ $a=$ (130)
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Isolate the $a$ $a$ variable on one side of the equation

$a - 30$ $a-30$ $+ 30$ $+30$ $=$ $=$ $100$ $100$ $+ 30$ $+30$ Add $30$ $30$ to both sides

$a$ $a$ $- 30$ $-30$ $+ 30$ $+30$ $=$ $=$ $100$ $100$ $+ 30$ $+30$ $- 30 + 30$ $-30+30$ cancels out

$a$ $a$ $=$ $=$ $130$ $130$

$a = 130$ $a=130$

One Step Equations – Add and Subtract 3

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Quiz summary

Information

1. Question

Hint

Keep Going!

Inverse Operations

2. Question

Hint

Correct!

Inverse Operations

3. Question

Hint

Great Work!

Inverse Operations

4. Question

Hint

Nice Job!

5. Question

Hint

Fantastic!

Quizzes

$y$ $y$ $- 30$ $-30$	$=$ $=$	$55$ $55$
$y$ $y$ $- 30$ $-30$ $+ 30$ $+30$	$=$ $=$	$55$ $55$ $+ 30$ $+30$
$y$ $y$	$=$ $=$	$85$ $85$	$- 30 + 30$ $-30+30$ cancels out

$y - 30$ $y-30$	$=$ $=$	$55$ $55$
$85 - 30$ $85-30$	$=$ $=$	$55$ $55$	Substitute $y = 85$ $y=85$
$55$ $55$	$=$ $=$	$55$ $55$

$26 -$ $26-$ $s$ $s$	$=$ $=$	$2$ $2$
$26 -$ $26-$ $s$ $s$ $+ s$ $+s$	$=$ $=$	$2$ $2$ $+ s$ $+s$
$26$ $26$	$=$ $=$	$2 +$ $2+$ $s$ $s$	$- s + s$ $-s+s$ cancels out

$26 - s$ $26-s$	$=$ $=$	$2$ $2$
$26 - 24$ $26-24$	$=$ $=$	$2$ $2$	Substitute $s = 24$ $s=24$
$2$ $2$	$=$ $=$	$2$ $2$

$n$ $n$ $+ 5$ $+5$	$=$ $=$	$- 8$ $-8$
$n$ $n$ $+ 5$ $+5$ $- 5$ $-5$	$=$ $=$	$- 8$ $-8$ $- 5$ $-5$
$n$ $n$	$=$ $=$	$- 13$ $-13$	$5 - 5$ $5-5$ cancels out

$n + 5$ $n+5$	$=$ $=$	$- 8$ $-8$
$- 13 + 5$ $-13+5$	$=$ $=$	$- 8$ $-8$	Substitute $n = - 13$ $n=-13$
$- 8$ $-8$	$=$ $=$	$- 8$ $-8$

$x - 4$ $x-4$ $+ 4$ $+4$	$=$ $=$	$10$ $10$ $+ 4$ $+4$	Add $4$ $4$ to both sides
$x$ $x$ $- 4$ $-4$ $+ 4$ $+4$	$=$ $=$	$10$ $10$ $+ 4$ $+4$	$- 4 + 4$ $-4+4$ cancels out
$x$ $x$	$=$ $=$	$14$ $14$

$a - 30$ $a-30$ $+ 30$ $+30$	$=$ $=$	$100$ $100$ $+ 30$ $+30$	Add $30$ $30$ to both sides
$a$ $a$ $- 30$ $-30$ $+ 30$ $+30$	$=$ $=$	$100$ $100$ $+ 30$ $+30$	$- 30 + 30$ $-30+30$ cancels out
$a$ $a$	$=$ $=$	$130$ $130$