One Step Equations – Add and Subtract 4

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Question 1 of 5

1. Question
Solve

$x - (- 4) = - 1$ $x-(-4)=-1$
- $x =$ $x=$ (-5)
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Inverse Operations

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

First, simplify the equation by turning the two minuses next to each other into a plus.

$x$ $x$ $- (- 4)$ $-(-4)$ $=$ $=$ $- 1$ $-1$

$x$ $x$ $+ 4$ $+4$ $=$ $=$ $- 1$ $-1$

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

Move $4$ $4$ to the other side by subtracting $4$ $4$ from both sides of the equation.

$x$ $x$ $+ 4$ $+4$ $=$ $=$ $- 1$ $-1$

$x$ $x$ $+ 4$ $+4$ $- 4$ $-4$ $=$ $=$ $- 1$ $-1$ $- 4$ $-4$

$x$ $x$ $=$ $=$ $- 5$ $-5$ $4 - 4$ $4-4$ cancels out

Check our work

To confirm our answer, substitute $x = - 5$ $x=-5$ to the original equation.

$x + 4$ $x+4$ $=$ $=$ $- 1$ $-1$

$- 5 + 4$ $-5+4$ $=$ $=$ $- 1$ $-1$ Substitute $x = - 5$ $x=-5$

$- 1$ $-1$ $=$ $=$ $- 1$ $-1$

Since the equation is true, the answer is correct.

$x = - 5$ $x=-5$
Question 2 of 5

2. Question
Solve

$y - 1 \frac{1}{2} = 13$ $y-1 1/2=13$
- 1. $y = 12 \frac{1}{2}$ $y=12 1/2$
- 2. $y = \frac{14}{2}$ $y=(14)/2$
- 3. $y = 14 \frac{1}{2}$ $y=14 1/2$
- 4. $y = 11 \frac{1}{2}$ $y=11 1/2$
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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 $1 \frac{1}{2}$ $1 1/2$ to the other side by adding $1 \frac{1}{2}$ $1 1/2$ to both sides of the equation.

$y$ $y$ $- 1 \frac{1}{2}$ $-1 1/2$ $=$ $=$ $13$ $13$

$y$ $y$ $- 1 \frac{1}{2}$ $-1 1/2$ $+ 1 \frac{1}{2}$ $+1 1/2$ $=$ $=$ $13$ $13$ $+ 1 \frac{1}{2}$ $+1 1/2$

$y$ $y$ $=$ $=$ $14 \frac{1}{2}$ $14 1/2$ $- 1 \frac{1}{2} + 1 \frac{1}{2}$ $-1 1/2+1 1/2$ cancels out

Check our work

To confirm our answer, substitute $y = 14 \frac{1}{2}$ $y=14 1/2$ to the original equation.

$y - 1 \frac{1}{2}$ $y-1 1/2$ $=$ $=$ $13$ $13$

$14 \frac{1}{2} - 1 \frac{1}{2}$ $14 1/2-1 1/2$ $=$ $=$ $13$ $13$ Substitute $y = 14 \frac{1}{2}$ $y=14 1/2$

$13$ $13$ $=$ $=$ $13$ $13$

Since the equation is true, the answer is correct.

$y = 14 \frac{1}{2}$ $y=14 1/2$
Question 3 of 5

3. Question
Solve

$e - 2 = 4 \frac{3}{5}$ $e-2=4 3/5$
- 1. $e = 3 \frac{3}{5}$ $e=3 3/5$
- 2. $e = \frac{4}{5}$ $e=4/5$
- 3. $e = 6 \frac{3}{5}$ $e=6 3/5$
- 4. $e = 2 \frac{3}{5}$ $e=2 3/5$
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Inverse Operations

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

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

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

$e$ $e$ $- 2$ $-2$ $=$ $=$ $4 \frac{3}{5}$ $4 3/5$

$e$ $e$ $- 2$ $-2$ $+ 2$ $+2$ $=$ $=$ $4 \frac{3}{5}$ $4 3/5$ $+ 2$ $+2$

$e$ $e$ $=$ $=$ $6 \frac{3}{5}$ $6 3/5$ $- 2 + 2$ $-2+2$ cancels out

Check our work

To confirm our answer, substitute $e = 6 \frac{3}{5}$ $e=6 3/5$ to the original equation.

$e - 2$ $e-2$ $=$ $=$ $4 \frac{3}{5}$ $4 3/5$

$6 \frac{3}{5} - 2$ $6 3/5-2$ $=$ $=$ $4 \frac{3}{5}$ $4 3/5$ Substitute $e = 6 \frac{3}{5}$ $e=6 3/5$

$4 \frac{3}{5}$ $4 3/5$ $=$ $=$ $4 \frac{3}{5}$ $4 3/5$

Since the equation is true, the answer is correct.

$e = 6 \frac{3}{5}$ $e=6 3/5$
Question 4 of 5

4. Question
Solve

$m - 8.5 = - 1$ $m-8.5=-1$
- $m =$ $m=$ (7.5)
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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.

Move $8.5$ $8.5$ to the other side by adding $8.5$ $8.5$ to both sides of the equation.

$m$ $m$ $- 8.5$ $-8.5$ $=$ $=$ $- 1$ $-1$

$m$ $m$ $- 8.5$ $-8.5$ $+ 8.5$ $+8.5$ $=$ $=$ $- 1$ $-1$ $+ 8.5$ $+8.5$

$m$ $m$ $=$ $=$ $7.5$ $7.5$ $- 8.5 + 8.5$ $-8.5+8.5$ cancels out

Check our work

To confirm our answer, substitute $m = 7.5$ $m=7.5$ to the original equation.

$m - 8.5$ $m-8.5$ $=$ $=$ $- 1$ $-1$

$7.5 - 8.5$ $7.5-8.5$ $=$ $=$ $- 1$ $-1$ Substitute $m = 7.5$ $m=7.5$

$- 1$ $-1$ $=$ $=$ $- 1$ $-1$

Since the equation is true, the answer is correct.

$m = 7.5$ $m=7.5$
Question 5 of 5

5. Question
Solve

$b + 1.3 = - 4.6$ $b+1.3=-4.6$
- $b =$ $b=$ (-5.9)
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Inverse Operations

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

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

Move $1.3$ $1.3$ to the other side by subtracting $1.3$ $1.3$ from both sides of the equation.

$b$ $b$ $+ 1.3$ $+1.3$ $=$ $=$ $- 4.6$ $-4.6$

$b$ $b$ $+ 1.3$ $+1.3$ $- 1.3$ $-1.3$ $=$ $=$ $- 4.6$ $-4.6$ $- 1.3$ $-1.3$

$b$ $b$ $=$ $=$ $- 5.9$ $-5.9$ $1.3 - 1.3$ $1.3-1.3$ cancels out

Check our work

To confirm our answer, substitute $b = - 5.9$ $b=-5.9$ to the original equation.

$b + 1.3$ $b+1.3$ $=$ $=$ $- 4.6$ $-4.6$

$- 5.9 + 1.3$ $-5.9+1.3$ $=$ $=$ $- 4.6$ $-4.6$ Substitute $b = - 5.9$ $b=-5.9$

$- 4.6$ $-4.6$ $=$ $=$ $- 4.6$ $-4.6$

Since the equation is true, the answer is correct.

$b = - 5.9$ $b=-5.9$

One Step Equations – Add and Subtract 4

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Quiz summary

Information

1. Question

Hint

Fantastic!

Inverse Operations

2. Question

Hint

Excellent!

Inverse Operations

3. Question

Hint

Keep Going!

Inverse Operations

4. Question

Hint

Nice Job!

Inverse Operations

5. Question

Hint

Well Done!

Inverse Operations

Quizzes

$x$ $x$ $- (- 4)$ $-(-4)$	$=$ $=$	$- 1$ $-1$
$x$ $x$ $+ 4$ $+4$	$=$ $=$	$- 1$ $-1$

$x$ $x$ $+ 4$ $+4$	$=$ $=$	$- 1$ $-1$
$x$ $x$ $+ 4$ $+4$ $- 4$ $-4$	$=$ $=$	$- 1$ $-1$ $- 4$ $-4$
$x$ $x$	$=$ $=$	$- 5$ $-5$	$4 - 4$ $4-4$ cancels out

$x + 4$ $x+4$	$=$ $=$	$- 1$ $-1$
$- 5 + 4$ $-5+4$	$=$ $=$	$- 1$ $-1$	Substitute $x = - 5$ $x=-5$
$- 1$ $-1$	$=$ $=$	$- 1$ $-1$

$y$ $y$ $- 1 \frac{1}{2}$ $-1 1/2$	$=$ $=$	$13$ $13$

$y$ $y$ $- 1 \frac{1}{2}$ $-1 1/2$ $+ 1 \frac{1}{2}$ $+1 1/2$	$=$ $=$	$13$ $13$ $+ 1 \frac{1}{2}$ $+1 1/2$

$y$ $y$	$=$ $=$	$14 \frac{1}{2}$ $14 1/2$	$- 1 \frac{1}{2} + 1 \frac{1}{2}$ $-1 1/2+1 1/2$ cancels out

$y - 1 \frac{1}{2}$ $y-1 1/2$	$=$ $=$	$13$ $13$

$14 \frac{1}{2} - 1 \frac{1}{2}$ $14 1/2-1 1/2$	$=$ $=$	$13$ $13$	Substitute $y = 14 \frac{1}{2}$ $y=14 1/2$

$13$ $13$	$=$ $=$	$13$ $13$

$e$ $e$ $- 2$ $-2$	$=$ $=$	$4 \frac{3}{5}$ $4 3/5$

$e$ $e$ $- 2$ $-2$ $+ 2$ $+2$	$=$ $=$	$4 \frac{3}{5}$ $4 3/5$ $+ 2$ $+2$

$e$ $e$	$=$ $=$	$6 \frac{3}{5}$ $6 3/5$	$- 2 + 2$ $-2+2$ cancels out

$e - 2$ $e-2$	$=$ $=$	$4 \frac{3}{5}$ $4 3/5$

$6 \frac{3}{5} - 2$ $6 3/5-2$	$=$ $=$	$4 \frac{3}{5}$ $4 3/5$	Substitute $e = 6 \frac{3}{5}$ $e=6 3/5$

$4 \frac{3}{5}$ $4 3/5$	$=$ $=$	$4 \frac{3}{5}$ $4 3/5$

$m$ $m$ $- 8.5$ $-8.5$	$=$ $=$	$- 1$ $-1$
$m$ $m$ $- 8.5$ $-8.5$ $+ 8.5$ $+8.5$	$=$ $=$	$- 1$ $-1$ $+ 8.5$ $+8.5$
$m$ $m$	$=$ $=$	$7.5$ $7.5$	$- 8.5 + 8.5$ $-8.5+8.5$ cancels out

$m - 8.5$ $m-8.5$	$=$ $=$	$- 1$ $-1$
$7.5 - 8.5$ $7.5-8.5$	$=$ $=$	$- 1$ $-1$	Substitute $m = 7.5$ $m=7.5$
$- 1$ $-1$	$=$ $=$	$- 1$ $-1$

$b$ $b$ $+ 1.3$ $+1.3$	$=$ $=$	$- 4.6$ $-4.6$
$b$ $b$ $+ 1.3$ $+1.3$ $- 1.3$ $-1.3$	$=$ $=$	$- 4.6$ $-4.6$ $- 1.3$ $-1.3$
$b$ $b$	$=$ $=$	$- 5.9$ $-5.9$	$1.3 - 1.3$ $1.3-1.3$ cancels out

$b + 1.3$ $b+1.3$	$=$ $=$	$- 4.6$ $-4.6$
$- 5.9 + 1.3$ $-5.9+1.3$	$=$ $=$	$- 4.6$ $-4.6$	Substitute $b = - 5.9$ $b=-5.9$
$- 4.6$ $-4.6$	$=$ $=$	$- 4.6$ $-4.6$