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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 #991 : Linear Equations

Translate the following sentence into an algebraic expression:

"The reciprocal of the quantity two times an unknown number."

Possible Answers:

$\frac{1}{2x}$

$\frac{2}{x}$

2-x

$\frac{1}{2}x$

Correct answer:

$\frac{1}{2x}$

Explanation:

In order to translate the above sentence into an algebraic expression, let's consider each part of the sentence:

"The reciprocal of the quantity two times an unknown number."

"The reciprocal of..." means that we're going to divide by the numbers that follow this phrase.

"The quantity..." means that we're going to holistically consider the numbers that follow.

"Two times an unknown number" means that we're going to multiply by an unknown number that we'll call .

Putting all of the above together, we get $\frac{1}{2x}$ .

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Example Question #991 : Algebra 1

Express twenty is more than

Possible Answers:

$x^{20}$

x+20

20x

x-20

$\frac{20}{x}$

Correct answer:

x+20

Explanation:

When something is more than , that means we are dealing with addition. That something is twenty. So our expression is x+20.

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Example Question #993 : Linear Equations

Express seven less than .

Possible Answers:

x-7

7-x

$\frac{7}{x}$

$\frac{x}{7}$

Correct answer:

x-7

Explanation:

When something is less than , that means we are dealing with subtraction. This also means will come before the subtraction sign. That something is seven. So our expression is x-7 .

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Example Question #992 : Algebra 1

Express seventeen times .

Possible Answers:

17+w

$w^{17}$

17w

$\frac{17}{w}$

17-w

Correct answer:

17w

Explanation:

When we see times, we are dealing with multiplication. It doesn't matter which comes first since multiplication is commutative. Our expression is 17w .

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Example Question #993 : Algebra 1

Express divided by eighty-eight.

Possible Answers:

88-w

88+w

$\frac{88}{w}$

$\frac{w}{88}$

88w

Correct answer:

$\frac{w}{88}$

Explanation:

When we see divided, we use division. When something is divided by eighty-eight, the eighty-eight is the denominator and in this case is in the numerator. Our expression is $\frac{w}{88}$ .

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Example Question #994 : Algebra 1

Express nine raised to the power.

Possible Answers:

9^y

y+9

y^9

9-y

Correct answer:

9^y

Explanation:

Raising to a power means exponents. In this case we are raised to an exponent of and our base is nine. Our expression is 9^y .

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Example Question #995 : Algebra 1

Express raised to the tenth power.

Possible Answers:

10-a

10^a

$a^{10}$

10a

10+a

Correct answer:

$a^{10}$

Explanation:

Raising to a power means exponents. In this case we are raised to an exponent of and our base is . Our expression is $a^{10}$ .

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Example Question #996 : Algebra 1

Express four times is sixteen.

Possible Answers:

4x-16

64x

4x=16

$\frac{16}{4x}$

4x+16

Correct answer:

4x=16

Explanation:

When we see times, we are dealing with multiplication. It doesn't matter which comes first since multiplication is commutative. Our expression is . Is means we have an equal sign. Our expression is 4x=16 .

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Example Question #999 : Linear Equations

Express thirteen less than is divided by twenty-five.

Possible Answers:

$x-13=\frac{y}{25}$

$x-13=\frac{25}{y}$

13+x=25y

$13-x=\frac{25}{y}$

$13-x=\frac{y}{25}$

Correct answer:

$x-13=\frac{y}{25}$

Explanation:

When something is less than , that means we are dealing with subtraction. This also means will come before the subtraction sign. That something is seven. So our expression is x-13 . Is means we have an equal sign. When something is divided by twenty-five, the twenty-fiveis the denominator and in this case is in the numerator. Our expression is $\frac{y}{25}$ . We now have $x-13=\frac{y}{25}$

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Example Question #1000 : Linear Equations

Express raised to power of sum of and is ten.

Possible Answers:

$a^{4x}=10$

(4+x)^a=10

4x^a=10

10^a=4+x

$a^{4+x}=10$

Correct answer:

$a^{4+x}=10$

Explanation:

Sum means addition. Our expression is 4+x . Raising to a power means exponents. In this case we are raised to an exponent of 4+x and our base is . Our expression is $a^{4+x}$ . Is means equal sign. Our expression is $a^{4+x}=10$ .

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #991 : Linear Equations

Example Question #991 : Algebra 1

Example Question #993 : Linear Equations

Example Question #992 : Algebra 1

Example Question #993 : Algebra 1

Example Question #994 : Algebra 1

Example Question #995 : Algebra 1

Example Question #996 : Algebra 1

Example Question #999 : Linear Equations

Example Question #1000 : Linear Equations

All Algebra 1 Resources

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