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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 #351 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x+512=893$

Possible Answers:

1405 $\displaystyle 1405$

1205 $\displaystyle 1205$

673 $\displaystyle 673$

391 $\displaystyle 391$

381 $\displaystyle 381$

Correct answer:

381 $\displaystyle 381$

Explanation:

$\displaystyle x+512=893$ Subtract 512 $\displaystyle 512$ on both sides.

x=381 $\displaystyle x=381$

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Example Question #352 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x+609=423$

Possible Answers:

186 $\displaystyle 186$

1032 $\displaystyle 1032$

$\displaystyle -176$

$\displaystyle -1032$

$\displaystyle -186$

Correct answer:

$\displaystyle -186$

Explanation:

$\displaystyle x+609=423$ Subtract 609 $\displaystyle 609$ on both sides. Since 609 $\displaystyle 609$ is greater than 423 $\displaystyle 423$ and is negative, our answer is negative. We treat as a subtraction problem.

x=-186 $\displaystyle x=-186$

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Example Question #353 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x+234=-777$

Possible Answers:

692 $\displaystyle 692$

$\displaystyle -543$

1011 $\displaystyle 1011$

$\displaystyle -1011$

543 $\displaystyle 543$

Correct answer:

$\displaystyle -1011$

Explanation:

$\displaystyle x+234=-777$ Subtract 234 $\displaystyle 234$ on both sides. When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

x=-1011 $\displaystyle x=-1011$

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Example Question #354 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-380=275$

Possible Answers:

655 $\displaystyle 655$

755 $\displaystyle 755$

555 $\displaystyle 555$

105 $\displaystyle 105$

$\displaystyle -105$

Correct answer:

655 $\displaystyle 655$

Explanation:

$\displaystyle x-380=275$ Add 380 $\displaystyle 380$ on both sides.

x=655 $\displaystyle x=655$

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Example Question #351 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-450=-274$

Possible Answers:

176 $\displaystyle 176$

$\displaystyle -724$

$\displaystyle -176$

724 $\displaystyle 724$

318 $\displaystyle 318$

Correct answer:

176 $\displaystyle 176$

Explanation:

$\displaystyle x-450=-274$ Add 450 $\displaystyle 450$ on both sides. Since 450 $\displaystyle 450$ is greater than 274 $\displaystyle 274$ and is positive, our answer is positive. We treat as a subtraction problem.

x=176 $\displaystyle x=176$

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Example Question #356 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-461=-579$

Possible Answers:

$\displaystyle -1040$

$\displaystyle -108$

$\displaystyle -118$

118 $\displaystyle 118$

1040 $\displaystyle 1040$

Correct answer:

$\displaystyle -118$

Explanation:

$\displaystyle x-461=-579$ Add 461 $\displaystyle 461$ to both sides. Since 579 $\displaystyle 579$ is greater than 461 $\displaystyle 461$ and is negative, our answer is negative. We treat as a subtraction problem.

x=-118 $\displaystyle x=-118$

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Example Question #357 : How To Solve One Step Equations

Solve for $\displaystyle x$.

13x=585 $\displaystyle 13x=585$

Possible Answers:

$\displaystyle 75$

$\displaystyle 45$

$\displaystyle 35$

$\displaystyle 65$

$\displaystyle 55$

Correct answer:

$\displaystyle 45$

Explanation:

13x=585 $\displaystyle 13x=585$ Divide $\displaystyle 13$ on both sides.

x=45 $\displaystyle x=45$

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Example Question #358 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle -48x=1200$

Possible Answers:

$\displaystyle 25$

$\displaystyle 35$

$\displaystyle -35$

$\displaystyle -25$

$\displaystyle -60$

Correct answer:

$\displaystyle -25$

Explanation:

$\displaystyle -48x=1200$ Divide $\displaystyle -48$ on both sides. When we divide with a positive number, our answer is negative.

x=-25 $\displaystyle x=-25$

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Example Question #359 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle -23x=-322$

Possible Answers:

$\displaystyle 16$

$\displaystyle 19$

$\displaystyle 18$

$\displaystyle 14$

$\displaystyle 24$

Correct answer:

$\displaystyle 14$

Explanation:

$\displaystyle -23x=-322$ Divide $\displaystyle -23$ on both sides. When dividing with another negative number, our answer is positive.

x=14 $\displaystyle x=14$

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Example Question #360 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{x}{12}=67$ $\displaystyle \frac{x}{12}=67$

Possible Answers:

824 $\displaystyle 824$

804 $\displaystyle 804$

814 $\displaystyle 814$

784 $\displaystyle 784$

794 $\displaystyle 794$

Correct answer:

804 $\displaystyle 804$

Explanation:

$\frac{x}{12}=67$ $\displaystyle \frac{x}{12}=67$ Multiply $\displaystyle 12$ on both sides.

x=804 $\displaystyle x=804$

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #351 : How To Solve One Step Equations

Example Question #352 : How To Solve One Step Equations

Example Question #353 : How To Solve One Step Equations

Example Question #354 : How To Solve One Step Equations

Example Question #351 : How To Solve One Step Equations

Example Question #356 : How To Solve One Step Equations

Example Question #357 : How To Solve One Step Equations

Example Question #358 : How To Solve One Step Equations

Example Question #359 : How To Solve One Step Equations

Example Question #360 : How To Solve One Step Equations

All Algebra 1 Resources

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