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Algebra 1 : Algebra 1

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 #451 : Algebra 1

Solve the equation: $\sqrt{x}=-3$

Possible Answers:

$\textup{No solution.}$

$\pm9$

Correct answer:

$\textup{No solution.}$

Explanation:

In order to solve for x, we will need to square both sides.

$(\sqrt{x})^2=(-3)^2$

Simplify both sides.

x=9

However, if we substitute x=9 back into the original equation, we will only find that positive three is a true solution, and not negative three.

The answer is: $\textup{No solution.}$

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Example Question #451 : Algebra 1

Solve the equation: $6x = -\frac{3}{2}$

Possible Answers:

$-\frac{9}{2}$

$-\frac{3}{2}$

$-\frac{1}{4}$

Correct answer:

$-\frac{1}{4}$

Explanation:

To isolate the x-variable, divide by six on both sides of the equation. This is similar to multiplying by one-sixth on both sides.

$6x \times \frac{1}{6}= -\frac{3}{2}\times \frac{1}{6}$

Simplify both sides.

$x= -\frac{3}{12}= -\frac{1}{4}$

The answer is: $-\frac{1}{4}$

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Example Question #451 : Algebra 1

Solve the equation: $\frac{7}{3}x=6$

Possible Answers:

$\frac{18}{7}$

$\frac{11}{3}$

$\frac{7}{18}$

$\frac{1}{14}$

Correct answer:

$\frac{18}{7}$

Explanation:

In order to isolate the x-variable, multiply by $\frac{3}{7}$ on both sides.

$\frac{7}{3}x\cdot \frac{3}{7}=6\cdot \frac{3}{7}$

Simplify both sides of the equation. On the right side, multiply the whole number to the numerator.

$x=\frac{18}{7}$

The answer is: $\frac{18}{7}$

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Example Question #453 : Algebra 1

Solve the equation: 8x=-38

Possible Answers:

$-\frac{1}{38}$

$-\frac{19}{4}$

$-\frac{4}{19}$

Correct answer:

$-\frac{19}{4}$

Explanation:

Divide by eight on both sides.

$\frac{8x}{8}=\frac{-38}{8}$

Simplify both sides.

$x=-\frac{38}{8}$

Reduce this fraction by common factors.

$x=-\frac{38}{8} = -\frac{19 \times 2}{4 \times 2}$

The answer is: $-\frac{19}{4}$

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Example Question #452 : Algebra 1

Solve the equation: x-38 = 76

Possible Answers:

114

Correct answer:

114

Explanation:

Add 38 on both sides in order to isolate the x-variable.

x-38 +38= 76+38

Simplify both sides of the equation.

x=114

The answer is: 114

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Example Question #453 : Algebra 1

Solve for

$\frac{x}{3}=6$

Possible Answers:

x=1

x=18

x=9

x=5

Correct answer:

x=18

Explanation:

To solve for we multiply both sides by 3.

$3*\frac{x}{3}=3*6$

And we get

x=18

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Example Question #456 : Algebra 1

Solve for .

x+17.21=90.23

Possible Answers:

73.02

85.64

67.98

107.44

56.92

Correct answer:

73.02

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

x+17.21=90.23

Subtract 17.21 on both sides.

x=73.02

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Example Question #457 : Algebra 1

Solve for .

x+231=56

Possible Answers:

207

165

287

Correct answer:

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

x+231=56

Subtract 231 on both sides.

Since 231 is greater than and is negative, our answer is negative. Therefore, we treat as a subtraction problem.

x=-175

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Example Question #458 : Algebra 1

Solve for .

x+45.78=-23.45

Possible Answers:

-79.23

-22.33

-69.23

22.33

45.73

Correct answer:

-69.23

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

x+45.78=-23.45

Subtract 45.78 on both sides.

When adding two negative numbers, we add the numbers and then put a minus sign in front of it.

x=-69.23

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Example Question #459 : Algebra 1

Solve for .

x-423=1021

Possible Answers:

1444

762

598

Correct answer:

1444

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

x-423=1021

Add 423 on both sides.

x=1444

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #451 : Algebra 1

Example Question #451 : Algebra 1

Example Question #451 : Algebra 1

Example Question #453 : Algebra 1

Example Question #452 : Algebra 1

Example Question #453 : Algebra 1

Example Question #456 : Algebra 1

Example Question #457 : Algebra 1

Example Question #458 : Algebra 1

Example Question #459 : Algebra 1

All Algebra 1 Resources

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