Algebraic Fractions

Practice Questions

GRE Quantitative Reasoning › Algebraic Fractions

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1

Evaluate the following equation when and round your answer to the nearest hundredth.

$\frac{x^{3}-2x^{2}-3x+5}{5x+3}$

2

For how many integers, , between 26 and 36 is it true that

$\frac{3}{x}_{,}\frac{4}{x}_{,}$ and $\frac{5}{x}$ are all in lowest terms?

3

Evaluate the following equation when and round your answer to the nearest hundredth.

$\frac{x^{3}-2x^{2}-3x+5}{5x+3}$

4

Solve Actmath_7_113_q10_1

5

Solve Actmath_7_113_q10_1

6

If , , and , find the value of $\frac{2x+y}{z}$ .

7

If $w=\frac{1}{8}$ then which of the following is equal to $w^\frac{2}{3}$ ?

8

$\frac{7^{12}-7^{10}}{7^{11}-7^{9}}=$

9

For this question, the following trigonometric identities apply:

$\csc x=\frac{1}{\sin x}$ ,

$\sec x=\frac{1}{\cos x}$

$\cot x=\frac{1}{\tan x}$

Simplify: $\sin ^{2}x\csc x\cot x$

10

If pizzas cost dollars and sodas cost dollars, what is the cost of pizzas and sodas in terms of and ?

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