# 7.5 Whole numbers: translating words to mathematical symbols  (Page 2/2)

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Nine from some number is four.

$x-9=4$

Five less than some quantity is eight.

$x-5=8$

## Exercises

Translate each phrase or sentence to a mathematical expression or equation.

A quantity less twelve.

$x-\text{12}$

Six more than an unknown number.

A number minus four.

$x-4$

A number plus seven.

A number increased by one.

$x+1$

A number decreased by ten.

Negative seven added to some number.

$-7+x$

Negative nine added to a number.

A number plus the opposite of six.

$x+\left(-6\right)$

A number minus the opposite of five.

A number minus the opposite of negative one.

$x-\left[-\left(-1\right)\right]$

A number minus the opposite of negative twelve.

Eleven added to three times a number.

$3x+\text{11}$

Six plus five times an unknown number.

Twice a number minus seven equals four.

$2x-7=4$

Ten times a quantity increased by two is nine.

When fourteen is added to two times a number the result is six.

$\text{14}+2x=6$

Four times a number minus twenty-nine is eleven.

Three fifths of a number plus eight is fifty.

$\frac{3}{5}x+8=\text{50}$

Two ninths of a number plus one fifth is forty-one.

When four thirds of a number is increased by twelve, the result is five.

$\frac{4}{3}x+\text{12}=5$

When seven times a number is decreased by two times the number, the result is negative one.

When eight times a number is increased by five, the result is equal to the original number plus twenty-six.

$8x+5=x+\text{26}$

Five more than some number is three more than four times the number.

When a number divided by six is increased by nine, the result is one.

$\frac{x}{6}+9=1$

A number is equal to itself minus three times itself.

A number divided by seven, plus two, is seven­teen.

$\frac{x}{7}+2=17$

A number divided by nine, minus five times the number, is equal to one more than the number.

When two is subtracted from some number, the result is ten.

$x-2=\text{10}$

When four is subtracted from some number, the result is thirty-one.

Three less than some number is equal to twice the number minus six.

$x-3=2x-6$

Thirteen less than some number is equal to three times the number added to eight.

When twelve is subtracted from five times some number, the result is two less than the original number.

$5x-\text{12}=x-2$

When one is subtracted from three times a num­ber, the result is eight less than six times the original number.

When a number is subtracted from six, the result is four more than the original number.

$6-x=x+4$

When a number is subtracted from twenty-four, the result is six less than twice the number.

A number is subtracted from nine. This result is then increased by one. The result is eight more than three times the number.

$9-x+1=3x+8$

Five times a number is increased by two. This result is then decreased by three times the num­ber. The result is three more than three times the number.

Twice a number is decreased by seven. This re­sult is decreased by four times the number. The result is negative the original number, minus six.

$2x-7-4x=-x-6$

Fifteen times a number is decreased by fifteen. This result is then increased by two times the number. The result is negative five times the original number minus the opposite of ten.

## Exercises for review

( [link] ) $\frac{8}{9}$ of what number is $\frac{2}{3}$ ?

$\frac{3}{4}$

( [link] ) Find the value of $\frac{\text{21}}{\text{40}}+\frac{\text{17}}{\text{30}}$ .

( [link] ) Find the value of $3\frac{1}{\text{12}}+4\frac{1}{3}+1\frac{1}{4}$ .

$8\frac{2}{3}$

( [link] ) Convert $6\text{.}\text{11}\frac{1}{5}$ to a fraction.

( [link] ) Solve the equation $\frac{3x}{4}+1=-5$ .

$x=-8$

find the 15th term of the geometric sequince whose first is 18 and last term of 387
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Abhi
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20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
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Abhi
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Abhi
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Abhi
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Sherica
im all ears I need to learn
Sherica
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Tamia
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Uday
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