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High School Math : How to solve one-step equations with integers in pre-algebra

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Example Question #41 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

x-7=5

Possible Answers:

x=-12

x=-2

$x=\frac{5}{7}$

x=35

x=12

Correct answer:

x=12

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being subtracted by 7. The opposite operation to subtraction is addition; therefore, we add 7 to both sides of the equation.

x-7=5

x-7+7=5+7

x=12

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Example Question #42 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

x+7=-3

Possible Answers:

x = 4

x = -4

x = 2

x = 10

x = -10

Correct answer:

x = -10

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being added to the number 7. The opposite operation to addition is subtraction; therefore, we subtract 7 from both sides of the equation.

x+7=-3

x+7-7=-3-7

x = -10

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Example Question #43 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

-3x = -18

Possible Answers:

x=-2

x=6

x=32

x=-6

x=2

Correct answer:

x=6

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being multiplied by the number . The opposite operation to multiplication is division; therefore, we divide both sides of the equation by .

-3x = -18

$\frac{-3x}{-3} =\frac{-18}{-3}$

x=6

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Example Question #44 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

x-3=-4

Possible Answers:

x=1

x=-7

x=7

x=2

x=-1

Correct answer:

x=-1

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being subtracted by the number 3. The opposite operation to subtraction is addition; therefore, we add 3 to both sides of the equation.

x-3=-4

x-3+3=-4+3

x=-1

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Example Question #45 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

-4z=16

Possible Answers:

z = 4

z = -4

z = -1

z = 2

z = 1

Correct answer:

z = -4

Explanation:

-4z=16

$\frac{-4z}{-4}=\frac{16}{-4}$

z = -4

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Example Question #46 : How To Solve One Step Equations With Integers In Pre Algebra

Solve the following equation for :

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

Possible Answers:

y=-3

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

y=9

y=3

y=-2

Correct answer:

y=-3

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being divided by the number 3. The opposite operation to division is multiplication; therefore, we multiply both sides of the equation by 3.

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

$3\cdot \frac{y}{3}=-1\cdot 3$

y=-3

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Example Question #41 : How To Solve One Step Equations

Solve the following equation for :

x+5=4

Possible Answers:

$x=-\frac{1}{9}$

x=9

x=-1

x=-9

x=1

Correct answer:

x=-1

Explanation:

To solve this one-step algebraic equation, we use opposite operations. The variable in this equation is being added to the number 5. The opposite operation to addition is subtraction; therefore, we subtract 5 from both sides of the equation.

x+5=4

x+5-5=4-5

x=-1

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Example Question #48 : How To Solve One Step Equations With Integers In Pre Algebra

2x=3 .

Solve for .

Possible Answers:

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

We want to isolate . That means we need to get just on the left side of the equation.

2x=3

Divide both sides by .

$\frac{2x}{2}=\frac{3}{2}$

$x=\frac{3}{2}$

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Example Question #49 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when 5x=25

Possible Answers:

x=3

x=125

x=5

x=15

Correct answer:

x=5

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.

In this case the number is so we divide each side of the equation by to make it look like this $\frac{5x}{5}=\frac{25}{5}$

The 's cancel to leave by itself

$x=\frac{25}{5}$

Then we perform the necessary division to get the answer of x=5 .

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Example Question #50 : How To Solve One Step Equations With Integers In Pre Algebra

Solve for when x+18=43

Possible Answers:

x=31

x=41

x=25

x=61

Correct answer:

x=25

Explanation:

To solve for we must get all of the numbers on the other side of the equation as .

To do this in a problem where a number is being added to , we must subtract the number from both sides of the equation.

In this case the number is so we subtract from each side of the equation to make it look like this x+18-18=43-18

The 's on the left side cancel to get x=43-18 .

Then we perform the necessary subtraction to get the answer of x=25 .

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High School Math : How to solve one-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #41 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #42 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #43 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #44 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #45 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #46 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #41 : How To Solve One Step Equations

Example Question #48 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #49 : How To Solve One Step Equations With Integers In Pre Algebra

Example Question #50 : How To Solve One Step Equations With Integers In Pre Algebra

All High School Math Resources

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