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Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

The sum of 15, 21, and a third number is 122.

$15\cdot 21\cdot x=122$
$\left ( 15+21 \right )x=122$
$15+21+x=122$
$15+21+\frac{1}{3}x=122$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

Two-thirds of a number is 70.

$x-\frac{2}{3}=70$
$\frac{2}{3}\div x=70$
$\frac{2}{3}x=70$
$2+\frac{1}{3}x=70$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

4 times the difference of a number and 1 is 48.

$4\left ( x-1 \right )=48$
$4\left ( \frac{x}{1} \right )=48$
$4x-1=48$
$4-\left ( x-1 \right )=48$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

The sum of 3 times a number and 11 is equal to 7 less than the number.

$3x+11=7< x$
$3x+11=7-x$
$3x+11=x-7$
$3\left ( x+11 \right )=x-7$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

9 less than 6 times a number is 33.

$6x-9=33$
$\left ( 6-9 \right )x=33$
$9-6x=33$
$9< 6x=33$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

7 times the difference of a number and 3 is 5 times the number.

$7\left ( \frac{x}{3} \right )=5x$
$7x-3=5x$
$\left ( 7-x \right )(3)=5x$
$7\left ( x-3 \right )=5x$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

8 more than a number is 11.

$x+8=11$
$x=8+11$
$x+11=8$
$8> x=11$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

3 times the sum of a number and 2 is 27.

$3\left ( x+2 \right )=27$
$2x+3=27$
$3x+2=27$
$2(x+3)=27$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

A number divided by 5 is 7.

$\frac{x}{7}=5$
$\frac{x}{5}=7$
$\frac{5}{x}=7$
$x=5\div 7$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

Three-fifths of the sum of number and 1 is 22.

$\frac{3}{5}x+1=22$
$\frac{3}{5}\cdot x\cdot 1=22$
$\left ( x+1 \right )-\frac{3}{5}=22$
$\frac{3}{5}\left ( x+1 \right )=22$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

Four-sevenths of the sum of 31 and a number is equal to 9 more than twice the number.

$\frac{4}{7}\left ( x+31 \right )=2\left ( x+9 \right )$
$\frac{4}{7}\left ( x+31 \right )=9+\frac{x}{2}$
$\frac{4}{7}\left ( x+31 \right )=2x+9$
$\frac{4}{7}x+31=2x+9$

Question 1 of 10

Translating Sentences into Algebraic Equations

Translate the following sentence into an algebraic equation.

19 more than twice a number is 2.

$x^{2}+19=2$
$2x+19=2$
$2\left ( x+19 \right )=2$
$\left ( 19+2 \right )x=2$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Translating Sentences into Algebraic Equations by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.