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Algebra 1 : How to write expressions and equations

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Example Questions

Example Question #51 : How To Write Expressions And Equations

Express the difference between $\displaystyle x$ and five is eight.

Possible Answers:

x-8=5 $\displaystyle x-8=5$

8-x=5 $\displaystyle 8-x=5$

x-5=8 $\displaystyle x-5=8$

5x=8 $\displaystyle 5x=8$

5-x=8 $\displaystyle 5-x=8$

Correct answer:

x-5=8 $\displaystyle x-5=8$

Explanation:

Take every word and translate into math.

Difference is subtraction.

Seeing the word is means equals.

Since it's difference of $\displaystyle x$ and $\displaystyle 5$ we should have x-5 $\displaystyle x-5$.

Our answer is x-5=8 $\displaystyle x-5=8$.

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Example Question #52 : How To Write Expressions And Equations

Express. $\displaystyle x$ is less than $\displaystyle 14$.

Possible Answers:

x<14 $\displaystyle x< 14$

x-14 $\displaystyle x-14$

14< x $\displaystyle 14< x$

14-x $\displaystyle 14-x$

14=x $\displaystyle 14=x$

Correct answer:

x<14 $\displaystyle x< 14$

Explanation:

Take every word and translate into math.

Even though we see the word is which means equals, the next statement tells us that's not the case.

This is an inequality.

When $\displaystyle x$ is less than $\displaystyle 14$, this means we have x<14 $\displaystyle x< 14$.

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Example Question #53 : How To Write Expressions And Equations

Express eight is greater than $\displaystyle g$.

Possible Answers:

8-g $\displaystyle 8-g$

8>g $\displaystyle 8>g$

8+g $\displaystyle 8+g$

g-8 $\displaystyle g-8$

g>8 $\displaystyle g>8$

Correct answer:

8>g $\displaystyle 8>g$

Explanation:

Take every word and translate into math.

Even though we see the word is which means equals, the next statement tells us that's not the case.

This is an inequality.

When $\displaystyle 8$ is greater than $\displaystyle g$, this means we have g<8 $\displaystyle g< 8$.

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Example Question #54 : How To Write Expressions And Equations

Express five is greater than or equal to $\displaystyle a$.

Possible Answers:

5<a $\displaystyle 5< a$

$5\leq a$ $\displaystyle 5\leq a$

5=a $\displaystyle 5=a$

$5\geq a$ $\displaystyle 5\geq a$

5>a $\displaystyle 5>a$

Correct answer:

$5\geq a$ $\displaystyle 5\geq a$

Explanation:

Take every word and translate into math.

The term greater than or equal to is denoted by this symbol $\geq$ $\displaystyle \geq$.

This is an inequality.

When $\displaystyle 5$ is greater than or equal to $\displaystyle a$, this means we have $5\geq a$ $\displaystyle 5\geq a$.

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Example Question #55 : How To Write Expressions And Equations

Express ten more than $\displaystyle x$.

Possible Answers:

x-10 $\displaystyle x-10$

x+10 $\displaystyle x+10$

$\frac{10}{x}$ $\displaystyle \frac{10}{x}$

10x $\displaystyle 10x$

10^x $\displaystyle 10^x$

Correct answer:

x+10 $\displaystyle x+10$

Explanation:

Take every word and translate into math.

$\displaystyle 10$ more than means that you need to add $\displaystyle 10$ to something.

That something is $\displaystyle x$ so just combine them to have an expression of x+10 $\displaystyle x+10$.

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Example Question #56 : How To Write Expressions And Equations

Express $\displaystyle x$ less than twenty.

Possible Answers:

$\frac{20}{x}$ $\displaystyle \frac{20}{x}$

20-x $\displaystyle 20-x$

20x $\displaystyle 20x$

x-20 $\displaystyle x-20$

x+20 $\displaystyle x+20$

Correct answer:

20-x $\displaystyle 20-x$

Explanation:

Take every word and translate into math.

$\displaystyle x$ less than means that you need to subtract $\displaystyle x$ to something.

That something is $\displaystyle 20$ so just combine them to have an expression of 20-x $\displaystyle 20-x$.

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Example Question #57 : How To Write Expressions And Equations

Express the product of $\displaystyle y$ and sixteen.

Possible Answers:

$\frac{16}{y}$ $\displaystyle \frac{16}{y}$

16-y $\displaystyle 16-y$

16+y $\displaystyle 16+y$

16y $\displaystyle 16y$

16^y $\displaystyle 16^y$

Correct answer:

16y $\displaystyle 16y$

Explanation:

Take every word and translate into math.

Product indicates multiplication.

So we multiply $\displaystyle y$ and $\displaystyle 16$ to get 16y $\displaystyle 16y$.

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Example Question #58 : How To Write Expressions And Equations

Express the quotient of thirty and $\displaystyle b$.

Possible Answers:

30b $\displaystyle 30b$

$\frac{30}{b}$ $\displaystyle \frac{30}{b}$

b-30 $\displaystyle b-30$

$\frac{b}{30}$ $\displaystyle \frac{b}{30}$

b+30 $\displaystyle b+30$

Correct answer:

$\frac{30}{b}$ $\displaystyle \frac{30}{b}$

Explanation:

Take every word and translate into math.

Quotient indicates division.

So we have $\displaystyle 30$ listed first being the numerator and $\displaystyle b$ listed last being the denominator.

Our answer is $\frac{30}{b}$ $\displaystyle \frac{30}{b}$.

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Example Question #59 : How To Write Expressions And Equations

Express the quotient of $\displaystyle a$ and forty.

Possible Answers:

$\frac{a}{40}$ $\displaystyle \frac{a}{40}$

40a $\displaystyle 40a$

$\frac{40}{a}$ $\displaystyle \frac{40}{a}$

a+40 $\displaystyle a+40$

40-a $\displaystyle 40-a$

Correct answer:

$\frac{a}{40}$ $\displaystyle \frac{a}{40}$

Explanation:

Take every word and translate into math.

Quotient indicates division.

So we have $\displaystyle a$ listed first being the numerator and $\displaystyle 40$ listed last being the denominator.

Our answer is $\frac{a}{40}$ $\displaystyle \frac{a}{40}$.

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Example Question #60 : How To Write Expressions And Equations

Express the sum of four times $\displaystyle a$ and $\displaystyle b$.

Possible Answers:

4(a+b) $\displaystyle 4(a+b)$

a+4b $\displaystyle a+4b$

a+b $\displaystyle a+b$

a+b+4 $\displaystyle a+b+4$

4a+b $\displaystyle 4a+b$

Correct answer:

4a+b $\displaystyle 4a+b$

Explanation:

Take every word and translate into math.

Product indicates multiplication.

So we multiply $\displaystyle a$ and $\displaystyle 4$ to get $\displaystyle 4a$.

Sum is addition.

Our sum is basically $\displaystyle 4a$ and $\displaystyle b$ or 4a+b $\displaystyle 4a+b$.

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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 #51 : How To Write Expressions And Equations

Example Question #52 : How To Write Expressions And Equations

Example Question #53 : How To Write Expressions And Equations

Example Question #54 : How To Write Expressions And Equations

Example Question #55 : How To Write Expressions And Equations

Example Question #56 : How To Write Expressions And Equations

Example Question #57 : How To Write Expressions And Equations

Example Question #58 : How To Write Expressions And Equations

Example Question #59 : How To Write Expressions And Equations

Example Question #60 : How To Write Expressions And Equations

All Algebra 1 Resources

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