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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #241 : How To Solve One Step Equations

Solve for .

6x=102

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

6x=102
Divide both sides of the equation by .

$\frac{6x}{6}=\frac{102}{6}$

Solve.

x=17

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Example Question #242 : How To Solve One Step Equations

Solve for .

-5x=125

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

-5x=125

Divide both sides of the equation by .

$\frac{-5x}{-5}=\frac{125}{-5}$

Solve. When dividing a positive number by a negative number, our answer becomes negative.

x=-25

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Example Question #243 : How To Solve One Step Equations

Solve for .

-3x=-111

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

-3x=-111

Divide both sides of the equation by .

$\frac{-3x}{-3}=\frac{-111}{-3}$

Solve. When dividing a negative number by a negative number, our answer becomes positive.

x=37

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Example Question #241 : Algebra 1

Solve for .

$\frac{x}{7}=14$

Possible Answers:

105

112

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

$\frac{x}{7}=14$

Multiply both sides of the equation by .

$(7)\frac{x}{7}=14(7)$

Solve.

x=98

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Example Question #242 : Algebra 1

Solve for .

$\frac{x}{-11}=17$

Possible Answers:

187

178

156

Correct answer:

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

$\frac{x}{-11}=17$

Multiply both sides of the equation by .

$(-11)\frac{x}{-11}=17(-11)$

Solve. When multiplying a positive number by a negative number, our answer is negative.

x=-187

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Example Question #246 : How To Solve One Step Equations

Solve for .

$\frac{x}{-12}=-15$

Possible Answers:

180

200

Correct answer:

180

Explanation:

In order to solve for , we need to isolate it on the left side of the equation. We will do this by performing the same operations to both sides of the given equation:

$\frac{x}{-12}=-15$

Multiply both sides of the equation by .

$(-12)\frac{x}{-12}=-15(-12)$

Solve. When multiplying a negative number by a negative number, our answer is positive.

x=180

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Example Question #247 : How To Solve One Step Equations

Solve the equation for :

y+4=x-2

Possible Answers:

x=y+6

y=x+2

y=x-6

x=y-6

Correct answer:

y=x-6

Explanation:

To solve this question you need to get by itself. To do this you must bring the over by doing the opposite of addition which is subtraction.

So, y+4-4=x-2-4

which simplifies to: y=x-6

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Example Question #248 : How To Solve One Step Equations

Solve the following equation for :

x+5=13

Possible Answers:

x=-18

x=18

No solution

x=8

x=-8

Correct answer:

x=8

Explanation:

In order to solve for , we need to get the variable by itself on one side of the equation. For our problem, is being added to , so the variable is not by itself. However, we are able to subtract from both sides of the equation and still keep it balanced. Hence, our answer is x=8 .

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Example Question #249 : Algebra 1

Solve for : x-6=9 .

Possible Answers:

$-\frac{3}{2}$

Correct answer:

Explanation:

In order to solve for in the above equation, we must isolate it on one side of the equation. We can do this by applying an operation to that is the inverse (opposite) of what's currently being applied to .

Given x-6=9 , we see that is being subtracted from , so we need to add to both sides of the equation to isolate :

x-6=9

x-6+6=9+6

x=15

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Example Question #250 : Algebra 1

Solve for : x+2=10 .

Possible Answers:

$\frac{1}{5}$

Correct answer:

Explanation:

Given x+2=10 , we see that is being added to , so we need to subtract from both sides of the equation to isolate :

x+2=10

x+2-2=10-2

x=8

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #241 : How To Solve One Step Equations

Example Question #242 : How To Solve One Step Equations

Example Question #243 : How To Solve One Step Equations

Example Question #241 : Algebra 1

Example Question #242 : Algebra 1

Example Question #246 : How To Solve One Step Equations

Example Question #247 : How To Solve One Step Equations

Example Question #248 : How To Solve One Step Equations

Example Question #249 : Algebra 1

Example Question #250 : Algebra 1

All Algebra 1 Resources

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