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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 #1171 : Algebra 1

Solve for .

$x-6=\frac{4}{5}$

Possible Answers:

6.8

4.6

5.2

Correct answer:

6.8

Explanation:

To solve for we want to isolate it on one side of the equation with all other constants on the other side.

$x-6=\frac{4}{5}$

Multiply both sides by .

We have 5(x-6)=4 .

Remember we treat the expression and place into a parantheses.

Distribute to get 5x-30=4 .

Add both sides by .

We have 5x=34 .

Divide both sides by . We have x=6.8 .

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Example Question #1171 : Algebra 1

Solve for :

$\frac{12+x}5{}=\frac{x}{7}$

Possible Answers:

x=-14

x=12

$x=\frac{3}{4}$

x=-42

x=7

Correct answer:

x=-42

Explanation:

$\frac{12+x}5{}=\frac{x}{7}$

Cross multiply then solve.

7(12+x)=5x

84+7x=5x

84=-2x

x=-42

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Example Question #1172 : Algebra 1

A cake recipe calls for cups of flour for every cups of sugar how many cups of flour are required if you make a cake that uses cups of sugar?

Possible Answers:

Correct answer:

Explanation:

This is a proportion problem where you have

$\frac{2}{3}=\frac{x}{12}$

you would cross multiply to get 24=3x

solve for to get x=8

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Example Question #41 : Proportions

Find such that its value satisfies the following proportion:

$\frac{4}{x}=\frac{5}{8}$

Possible Answers:

6.0

2.5

5.2

5.8

6.4

Correct answer:

6.4

Explanation:

In order to solve a proportion, we can use cross multiplication in order to get rid of the fractions. In our case, we can multiply and and set that equal to the product of and . This gives us:

5x=32

Dividing both sides by yields:

$x=\frac{32}{5}=6.4$

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Example Question #1173 : Algebra 1

Solve the proportion: $\frac{x}{5} = \frac{4}{x}$

Possible Answers:

$\frac{4}{5}$

$2\sqrt{5}$

$\pm 2\sqrt{5}$

$\pm10$

Correct answer:

$\pm 2\sqrt{5}$

Explanation:

To solve the proportion, cross multiply the two fractions.

x^2 = 20

Take the square root of both sides to eliminate the square on the left side.

$\sqrt{x^2} = \sqrt{20}$

Remember to take the negative and positive solution when solving a square root.

$x= \pm \sqrt{20}$

Expand the square root.

$x= \pm \sqrt{20} = \pm \sqrt{5}\cdot \sqrt2 \cdot \sqrt2=\pm 2\sqrt{5}$

The answer is: $\pm 2\sqrt{5}$

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Example Question #1174 : Algebra 1

Solve for .

$\frac{1}{2}=\frac{x}{5}$

Possible Answers:

5.2

2.5

Correct answer:

2.5

Explanation:

$\frac{1}{2}=\frac{x}{5}$ Cross-multiply.

2x=5 Divide on both sides.

x=2.5

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Example Question #1175 : Algebra 1

Solve for .

$\frac{2}{x}=\frac{4}{8}$

Possible Answers:

Correct answer:

Explanation:

$\frac{2}{x}=\frac{4}{8}$ Cross-multiply.

4x=16 Divide on both sides.

x=4

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Example Question #1173 : Algebra 1

Solve for .

$\frac{3}{7}=\frac{x}{-3}$

Possible Answers:

$\frac{7}{9}$

$\frac{-7}{9}$

$\frac{9}{7}$

$-\frac{9}{7}$

Correct answer:

$-\frac{9}{7}$

Explanation:

$\frac{3}{7}=\frac{x}{-3}$ Cross-multiply. When multiplying with a negative number, answer is negative.

7x=-9 Divide on both sides. When dividing with a positive number, answer is negative.

$x=-\frac{9}{7}$

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Example Question #1176 : Algebra 1

Solve for .

$\frac{4}{7}=\frac{-x}{14}$

Possible Answers:

Correct answer:

Explanation:

$\frac{4}{7}=\frac{-x}{14}$ Cross-multiply. When multiplying with a negative variable, answer is negative.

-7x=56 Divide on both sides. When dividing with a positive number, answer is negative.

x=-8

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Example Question #1171 : Algebra 1

Solve the proportion: $\frac{3}{7}= \frac{9}{x}$

Possible Answers:

$\frac{16}{3}$

$\frac{27}{7}$

$\frac{1}{21}$

$\frac{7}{27}$

Correct answer:

Explanation:

To solve the proportion, cross multiply the terms.

3x =63

Divide by three on both sides.

x=21

The answer is .

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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1171 : Algebra 1

Example Question #1171 : Algebra 1

Example Question #1172 : Algebra 1

Example Question #41 : Proportions

Example Question #1173 : Algebra 1

Example Question #1174 : Algebra 1

Example Question #1175 : Algebra 1

Example Question #1173 : Algebra 1

Example Question #1176 : Algebra 1

Example Question #1171 : Algebra 1

All Algebra 1 Resources

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