Rational Expressions

Practice Questions

ACT Math › Rational Expressions

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1

Simplify:

$\frac{4x}{(x+4)}-\frac{2}{x^2+6x+8}$

2

Simplify the following expression:

$\frac{5}{7}+\frac{11}{14}$

3

Simplify the expression, leaving no radicals in the denominator:

$\frac{7-\sqrt{13}}{5 +\sqrt{13}}$

4

Simplify the following expression:

$\frac{5}{7}+\frac{11}{14}$

5

Simplify the expression, leaving no radicals in the denominator:

$\frac{7-\sqrt{13}}{5 +\sqrt{13}}$

6

Simplify:

$\frac{4x}{(x+4)}-\frac{2}{x^2+6x+8}$

7

Amy buys concert tickets for herself and her friends. She initially buys them at $40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to $54. Amy buys 7 tickets total and spends $350. How many tickets has she paid $40 on?

8

Amy buys concert tickets for herself and her friends. She initially buys them at $40/ticket. Weeks later, her other friends ask her to buy them tickets, but the prices have increased to $54. Amy buys 7 tickets total and spends $350. How many tickets has she paid $40 on?

9

Combine the following rational expressions:

$\frac{3x^2-4x+5}{x+1}+\frac{4x^2-5x+9}{x+1}$

10

What is

$\frac{3}{\sqrt{6}}$ ?

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