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Algebra 1 : How to write expressions and equations

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Example Question #41 : How To Write Expressions And Equations

What is the mathematical representation of the square root of the quantity of two x minus three?

Possible Answers:

$\sqrt{2}x-3$

$2\sqrt{x-3}$

$\sqrt{2x-3}$

$2x-\sqrt{3}$

Correct answer:

$\sqrt{2x-3}$

Explanation:

When representing mathematical expressions with numbers and symbols, the phrasing is key.

"the quantity of" means to group the next description.

The quantity of two x minus three : 2x-3

"Square root of" means to draw the square root symbol around the next description or to give the description the exponent of $\frac{1}{2}$ .

$\sqrt{2x-3}=(2x-3)^{1/2}$

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Example Question #42 : How To Write Expressions And Equations

Simplify the following expression.

$\frac{2x^{4}y^{-3}z^{-2}\cdot 5x^{-3}y^{6}z\cdot x^{5}z^{3}}{8x^{-2}y^{4}z\cdot y^{3}z^{2}}$

Possible Answers:

$\frac{5x^{8}}{4y^{4}z}{}$

$\frac{5x^{4}}{4y^{4}z}$

$\frac{5x^{30}y^{10}}{4z^{12}}$

$\frac{5}{x^{120}y^{-\frac{3}{2}}z^{12}}$

$\frac{5(xyz)^{3}}4{}$

Correct answer:

$\frac{5x^{8}}{4y^{4}z}{}$

Explanation:

To simplify, cancel like terms and apply exponent rules.

Remember when like bases are being multiplied together you add their exponents. Likewise, if you are dividing like bases you subtract the exponent that is in the denominator from the exponent that is in the numerator.

$\frac{2x^{4}y^{-3}z^{-2}\cdot 5x^{-3}y^{6}z\cdot x^{5}z^{3}}{8x^{-2}y^{4}z\cdot y^{3}z^{2}}$

$\\=\frac{10x^{6}y^{3}z^{2}}{8x^{-2}y^{7}z^{3}}\\ \\=\frac{5x^{8}}{4y^{4}z}$

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Example Question #43 : How To Write Expressions And Equations

Express three more than .

Possible Answers:

$\frac{x}{3}$

x+3

x-3

$\frac{3}{x}$

Correct answer:

x+3

Explanation:

Take every word and translate into math.

more than means that you need to add to something.

That something is so just combine them to have an expression of x+3 .

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Example Question #41 : How To Write Expressions And Equations

Express product of five and .

Possible Answers:

y-5

$\frac{y}{5}$

5-y

5+y

Correct answer:

Explanation:

Take every word and translate into math.

Product is multiplication.

So we have as the answer.

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Example Question #45 : How To Write Expressions And Equations

Express quotient of six and .

Possible Answers:

c+6

$\frac{c}{6}$

c-6

$\frac{6}{c}$

Correct answer:

$\frac{6}{c}$

Explanation:

Take every word and translate into math.

Quotient is division.

Since it says and , the numerator is going to be and denominator is .

Our answer is $\frac{6}{c}$ .

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Example Question #41 : How To Write Expressions And Equations

Express four less than .

Possible Answers:

$\frac{x}{4}$

4-x

x-4

x+4

Correct answer:

x-4

Explanation:

Take every word and translate into math.

less than means that you need to subtract from something.

That something is so just combine them to have an expression of x-4 .

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Example Question #47 : How To Write Expressions And Equations

Express less than four.

Possible Answers:

4-x

x+4

$\frac{4}{x}$

x-4

Correct answer:

4-x

Explanation:

Take every word and translate into math.

less than means that you need to subtract from something.

That something is so just combine them to have an expression of 4-x .

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Example Question #48 : How To Write Expressions And Equations

Express the quotient of and six.

Possible Answers:

6-c

c+6

$\frac{c}{6}$

$\frac{6}{c}$

Correct answer:

$\frac{c}{6}$

Explanation:

Take every word and translate into math.

Quotient is division.

Since it says and , the numerator is going to be and denominator is .

Our answer is $\frac{c}{6}$ .

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Example Question #41 : How To Write Expressions And Equations

Express. The sum of and is .

Possible Answers:

a-b=7

a+b+7

$\frac{a}{b}=7$

a+b=7

ab=7

Correct answer:

a+b=7

Explanation:

Take every word and translate into math.

Sum is addition.

Seeing the word is means equal something.

Putting it together, we get a+b=7 .

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Example Question #42 : How To Write Expressions And Equations

Express raised to the tenth power.

Possible Answers:

10x

$10\log x$

$\frac{x}{10}$

10^x

$x^{10}$

Correct answer:

$x^{10}$

Explanation:

Take every word and translate into math.

When something is raised to a certain power, we use exponents.

In this case raised to the tenth power is $x^{10}$ .

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Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #41 : How To Write Expressions And Equations

Example Question #42 : How To Write Expressions And Equations

Example Question #43 : How To Write Expressions And Equations

Example Question #41 : How To Write Expressions And Equations

Example Question #45 : How To Write Expressions And Equations

Example Question #41 : How To Write Expressions And Equations

Example Question #47 : How To Write Expressions And Equations

Example Question #48 : How To Write Expressions And Equations

Example Question #41 : How To Write Expressions And Equations

Example Question #42 : How To Write Expressions And Equations

All Algebra 1 Resources

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