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Algebra 1 : Linear Equations

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

Example Questions

Example Question #481 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{x}{-2.3}=4.7$ $\displaystyle \frac{x}{-2.3}=4.7$

Possible Answers:

19.42 $\displaystyle 19.42$

-10.81 $\displaystyle -10.81$

-12.75 $\displaystyle -12.75$

-13.25 $\displaystyle -13.25$

16.65 $\displaystyle 16.65$

Correct answer:

-10.81 $\displaystyle -10.81$

Explanation:

$\frac{x}{-2.3}=4.7$ $\displaystyle \frac{x}{-2.3}=4.7$

Multiply by -2.3 $\displaystyle -2.3$ on both sides. When multiplying with a positive number, the answer is negative.

$\displaystyle x=-10.81$

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Example Question #482 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\frac{x}{-5.4}=-9.8$ $\displaystyle \frac{x}{-5.4}=-9.8$

Possible Answers:

38.44 $\displaystyle 38.44$

46.76 $\displaystyle 46.76$

-28.84 $\displaystyle -28.84$

52.92 $\displaystyle 52.92$

-34.44 $\displaystyle -34.44$

Correct answer:

52.92 $\displaystyle 52.92$

Explanation:

$\frac{x}{-5.4}=-9.8$ $\displaystyle \frac{x}{-5.4}=-9.8$

Multiply by -5.4 $\displaystyle -5.4$ on both sides. When multiplying with another negative number, the answer is positive.

x=52.92 $\displaystyle x=52.92$

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Example Question #483 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x+16.87=9.21$

Possible Answers:

-26.08 $\displaystyle -26.08$

-7.66 $\displaystyle -7.66$

9.66 $\displaystyle 9.66$

12.04 $\displaystyle 12.04$

26.08 $\displaystyle 26.08$

Correct answer:

-7.66 $\displaystyle -7.66$

Explanation:

$\displaystyle x+16.87=9.21$ Subtract 16.87 $\displaystyle 16.87$ on both sides. Since 16.87 $\displaystyle 16.87$ is greater than 9.21 $\displaystyle 9.21$ and is negative, our answer is negative. We treat as a subtraction problem.

x=-7.66 $\displaystyle x=-7.66$

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Example Question #484 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x+333=-724$

Possible Answers:

391 $\displaystyle 391$

1057 $\displaystyle 1057$

$\displaystyle -476$

$\displaystyle -1057$

$\displaystyle -391$

Correct answer:

$\displaystyle -1057$

Explanation:

$\displaystyle x+333=-724$ Subtract 333 $\displaystyle 333$ on both sides. When adding another negative number, we just take the sum and put a minus sign in front.

x=-1057 $\displaystyle x=-1057$

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Example Question #485 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-49.97=12.03$

Possible Answers:

-37.94 $\displaystyle -37.94$

54.20 $\displaystyle 54.20$

-42.86 $\displaystyle -42.86$

62.00 $\displaystyle 62.00$

72.00 $\displaystyle 72.00$

Correct answer:

62.00 $\displaystyle 62.00$

Explanation:

$\displaystyle x-49.97=12.03$ Add 49.97 $\displaystyle 49.97$ on both sides.

x=62.00 $\displaystyle x=62.00$

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Example Question #483 : Linear Equations

Solve for $\displaystyle x$.

$\displaystyle x-456=-219$

Possible Answers:

426 $\displaystyle 426$

237 $\displaystyle 237$

$\displaystyle -675$

675 $\displaystyle 675$

$\displaystyle -237$

Correct answer:

237 $\displaystyle 237$

Explanation:

$\displaystyle x-456=-219$ Add 456 $\displaystyle 456$ on both sides. Since 456 $\displaystyle 456$ is greater than 219 $\displaystyle 219$ and is positive, our answer is positive. We treat as a subtraction problem.

x=237 $\displaystyle x=237$

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Example Question #486 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle x-204.23=-214.58$

Possible Answers:

20.46 $\displaystyle 20.46$

15.95 $\displaystyle 15.95$

-13.91 $\displaystyle -13.91$

-10.35 $\displaystyle -10.35$

-12.35 $\displaystyle -12.35$

Correct answer:

-10.35 $\displaystyle -10.35$

Explanation:

$\displaystyle x-204.23=-214.58$ Add 204.23 $\displaystyle 204.23$ on both sides. Since 214.58 $\displaystyle 214.58$ is greater than 204.23 $\displaystyle 204.23$ and is negative, our answer is negative. We treat as a subtraction problem.

$\displaystyle x=-10.35$

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Example Question #481 : Linear Equations

Solve for $\displaystyle x$.

17x=629 $\displaystyle 17x=629$

Possible Answers:

$\displaystyle 17$

$\displaystyle 47$

$\displaystyle 32$

$\displaystyle 37$

$\displaystyle 27$

Correct answer:

$\displaystyle 37$

Explanation:

17x=629 $\displaystyle 17x=629$ Divide $\displaystyle 17$ on both sides.

x=37 $\displaystyle x=37$

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Example Question #488 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle -28x=896$

Possible Answers:

$\displaystyle 42$

$\displaystyle 24$

$\displaystyle -32$

$\displaystyle -26$

$\displaystyle 36$

Correct answer:

$\displaystyle -32$

Explanation:

$\displaystyle -28x=896$ Divide $\displaystyle -28$ on both sides. When dividing with a positive number, our answer is negative.

x=-32 $\displaystyle x=-32$

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Example Question #489 : How To Solve One Step Equations

Solve for $\displaystyle x$.

$\displaystyle -13.4x=-30.82$

Possible Answers:

3.8 $\displaystyle 3.8$

-2.3 $\displaystyle -2.3$

-4.8 $\displaystyle -4.8$

2.3 $\displaystyle 2.3$

12.3 $\displaystyle 12.3$

Correct answer:

2.3 $\displaystyle 2.3$

Explanation:

$\displaystyle -13.4x=-30.82$ Divide -13.4 $\displaystyle -13.4$ on both sides. When dividing with another negative number, our answer is positive.

x=2.3 $\displaystyle x=2.3$

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #481 : How To Solve One Step Equations

Example Question #482 : How To Solve One Step Equations

Example Question #483 : How To Solve One Step Equations

Example Question #484 : How To Solve One Step Equations

Example Question #485 : How To Solve One Step Equations

Example Question #483 : Linear Equations

Example Question #486 : How To Solve One Step Equations

Example Question #481 : Linear Equations

Example Question #488 : How To Solve One Step Equations

Example Question #489 : How To Solve One Step Equations

All Algebra 1 Resources

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