How to divide variables

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SSAT Middle Level Quantitative › How to divide variables

Questions 1 - 5

1

Solve for the variable:

There is not enough information to answer this question.

Explanation

In order to answer this question, you must isolate on one side of the equation.

(Subtract from both sides.)

$\frac{4x}{4}=\frac{16}{4}$

2

If and , then $\frac{y}{x}$ is equal to:

$\frac{6}{5}$

Explanation

If and , then when plugging the variables into the fractional form of:

$\frac{y}{x}=\frac{30}5$

$\frac{30}{5}=\frac{6}{1}=6$

3

Simpify the expression.

$\frac{24abcdefg}{24abcdefgh}$

$\frac{1}{h}$

$\frac{abcdefg}{abcdefgh}$

$\frac{1}{abcdefgh}$

$\frac{abcdefg}{h}$

$\frac{24}{h}$

Explanation

To solve this problem you can cancel out like terms in the numerator and denominator. For example,

$\frac{24}{24}=1$

$\frac{a}{a}=1$

So,

$\frac{24\cdot a\cdot b\cdot c\cdot d\cdot e\cdot f\cdot g}{24\cdot a\cdot b\cdot c\cdot d\cdot e\cdot f\cdot g\cdot h}=\frac{1}{h}$

All the other terms cancel each other out because they are equal to one.

4

If and , then $\frac{y}{z}$ is equal to:

$\frac{1}{4}$

$\frac{1}{3}$

Explanation

If and , then when plugging the variables into the fractional form of $\frac{y}{z}$ , the result is $\frac{12}{3}$ , which is equal to 4, which is therefore the correct answer.

5

Solve for the variable:

Explanation

In order to answer this question, you must isolate on one side of the equation.

(Subtract from both sides.)

$\frac{3x}{3}=\frac{9}{3}$

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