One Step Equations – Add and Subtract 1

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Question 1 of 6

1. Question
Solve

$m + 9 = 27$ $m+9=27$
- $m =$ $m=$ (18)
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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 $9$ $9$ to the other side by subtracting $9$ $9$ from both sides of the equation.

$m$ $m$ $+ 9$ $+9$ $=$ $=$ $27$ $27$

$m$ $m$ $+ 9$ $+9$ $- 9$ $-9$ $=$ $=$ $27$ $27$ $- 9$ $-9$

$m$ $m$ $=$ $=$ $18$ $18$ $9 - 9$ $9-9$ cancels out

Check our work

To confirm our answer, substitute $m = 18$ $m=18$ to the original equation.

$m + 9$ $m+9$ $=$ $=$ $27$ $27$

$18 + 9$ $18+9$ $=$ $=$ $27$ $27$ Substitute $m = 18$ $m=18$

$27$ $27$ $=$ $=$ $27$ $27$

Since the equation is true, the answer is correct.

$m = 18$ $m=18$
Question 2 of 6

2. Question
Solve

$x + 11 = 16$ $x+11=16$
- $x =$ $x=$ (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 $x$ $x$ , it needs to be alone on one side.

Move $11$ $11$ to the other side by subtracting $11$ $11$ from both sides of the equation.

$x$ $x$ $+ 11$ $+11$ $=$ $=$ $16$ $16$

$x$ $x$ $+ 11$ $+11$ $- 11$ $-11$ $=$ $=$ $16$ $16$ $- 11$ $-11$

$x$ $x$ $=$ $=$ $5$ $5$ $11 - 11$ $11-11$ cancels out

Check our work

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

$x + 11$ $x+11$ $=$ $=$ $16$ $16$

$5 + 11$ $5+11$ $=$ $=$ $16$ $16$ Substitute $x = 5$ $x=5$

$16$ $16$ $=$ $=$ $16$ $16$

Since the equation is true, the answer is correct.

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

3. Question
Solve for $x$ $x$

$x + 3 = 6$ $x+3=6$
- $x =$ $x=$ (3)
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Isolate the $x$ $x$ variable on one side of the equation

$x + 3$ $x+3$ $- 3$ $-3$ $=$ $=$ $6$ $6$ $- 3$ $-3$ Subtract $3$ $3$ from both sides

$x$ $x$ $+ 3$ $+3$ $- 3$ $-3$ $=$ $=$ $6$ $6$ $- 3$ $-3$ $3 - 3$ $3-3$ cancels out

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

$x = 3$ $x=3$
Question 4 of 6

4. Question
Solve for $x$ $x$

$x + 7 = 9$ $x+7=9$
- $x =$ $x=$ (2)
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Isolate the $x$ $x$ variable on one side of the equation

$x + 7$ $x+7$ $- 7$ $-7$ $=$ $=$ $9$ $9$ $- 7$ $-7$ Subtract $7$ $7$ from both sides

$x$ $x$ $+ 7$ $+7$ $- 7$ $-7$ $=$ $=$ $9$ $9$ $- 7$ $-7$ $7 - 7$ $7-7$ cancels out

$x$ $x$ $=$ $=$ $2$ $2$

$x = 2$ $x=2$
Question 5 of 6

5. Question
Solve for $x$ $x$

$x + 3 = 7$ $x+3=7$
- $x =$ $x=$ (4)
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Isolate the $x$ $x$ variable on one side of the equation

$x + 3$ $x+3$ $- 3$ $-3$ $=$ $=$ $7$ $7$ $- 3$ $-3$ Subtract $3$ $3$ from both sides

$x$ $x$ $+ 3$ $+3$ $- 3$ $-3$ $=$ $=$ $7$ $7$ $- 3$ $-3$ $3 - 3$ $3-3$ cancels out

$x$ $x$ $=$ $=$ $4$ $4$

$x = 4$ $x=4$
Question 6 of 6

6. Question
Solve for $x$ $x$

$x + 2 = 11$ $x+2=11$
- $x =$ $x=$ (9)
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Isolate the $x$ variable on one side of the equation

$x+2$ $-2$ $=$ $11$ $-2$ Subtract $2$ from both sides

$x$ $+2$ $-2$ $=$ $11$ $-2$ $2-2$ cancels out

$x$ $=$ $9$

$x=9$

One Step Equations – Add and Subtract 1

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Quiz summary

Information

1. Question

Hint

Well Done!

Inverse Operations

2. Question

Hint

Nice Job!

Inverse Operations

3. Question

Hint

Well Done!

4. Question

Hint

Excellent!

5. Question

Hint

Keep Going!

6. Question

Hint

Great Work!

Quizzes

$m$ $m$ $+ 9$ $+9$	$=$ $=$	$27$ $27$
$m$ $m$ $+ 9$ $+9$ $- 9$ $-9$	$=$ $=$	$27$ $27$ $- 9$ $-9$
$m$ $m$	$=$ $=$	$18$ $18$	$9 - 9$ $9-9$ cancels out

$m + 9$ $m+9$	$=$ $=$	$27$ $27$
$18 + 9$ $18+9$	$=$ $=$	$27$ $27$	Substitute $m = 18$ $m=18$
$27$ $27$	$=$ $=$	$27$ $27$

$x$ $x$ $+ 11$ $+11$	$=$ $=$	$16$ $16$
$x$ $x$ $+ 11$ $+11$ $- 11$ $-11$	$=$ $=$	$16$ $16$ $- 11$ $-11$
$x$ $x$	$=$ $=$	$5$ $5$	$11 - 11$ $11-11$ cancels out

$x + 11$ $x+11$	$=$ $=$	$16$ $16$
$5 + 11$ $5+11$	$=$ $=$	$16$ $16$	Substitute $x = 5$ $x=5$
$16$ $16$	$=$ $=$	$16$ $16$

$x + 3$ $x+3$ $- 3$ $-3$	$=$ $=$	$6$ $6$ $- 3$ $-3$	Subtract $3$ $3$ from both sides
$x$ $x$ $+ 3$ $+3$ $- 3$ $-3$	$=$ $=$	$6$ $6$ $- 3$ $-3$	$3 - 3$ $3-3$ cancels out
$x$ $x$	$=$ $=$	$3$ $3$

$x + 7$ $x+7$ $- 7$ $-7$	$=$ $=$	$9$ $9$ $- 7$ $-7$	Subtract $7$ $7$ from both sides
$x$ $x$ $+ 7$ $+7$ $- 7$ $-7$	$=$ $=$	$9$ $9$ $- 7$ $-7$	$7 - 7$ $7-7$ cancels out
$x$ $x$	$=$ $=$	$2$ $2$

$x + 3$ $x+3$ $- 3$ $-3$	$=$ $=$	$7$ $7$ $- 3$ $-3$	Subtract $3$ $3$ from both sides
$x$ $x$ $+ 3$ $+3$ $- 3$ $-3$	$=$ $=$	$7$ $7$ $- 3$ $-3$	$3 - 3$ $3-3$ cancels out
$x$ $x$	$=$ $=$	$4$ $4$

$x+2$ $-2$	$=$	$11$ $-2$	Subtract $2$ from both sides
$x$ $+2$ $-2$	$=$	$11$ $-2$	$2-2$ cancels out
$x$	$=$	$9$