Rational Expression Chapter Test
Chapter
Chapter 2
Section
Rational Expression Chapter Test
Solutions 21 Videos

Simplify the following.

 (-x^2+2x + 7)+(2x^2-7x -7) 

Q1a

Simplify the following.

 (2m^2-mn + 4n^2)-(5m^2-n^2)+(7m^2 -2mn) 

Q1b

Expand and simplify.

2(12a -5)(3a - 7)

Q2a

Expand and simplify.

 (2x^2y - 3xy^2)(4xy^2+5x^2y) 

Q2b

Expand and simplify.

 (4x -1)(5x + 2)(x -3) 

Q2c

Expand and simplify.

 (3p^2+ p - 2)^2 

Q2d

Is there a value of a such that f(x) = 9x^2 + 4 and g(x) = (3x - a)^2 are equivalent? Explain.

Q3

If Benny is away from Candy for n consecutive days, then the amount of heartache Candy feels is given by h(n) = (2n + 1)^3.

a) If Bonnie is absent, by how much does Candy’s pain increase between day n and day n + 1?

b) How much more pain will he feel on day 6 than on day 5?

Q4

Factor

 3m(m- 1) + 2m(1 - m) 

Q5a

Factor

 x^2 -27x + 72 

Q5b

Factor

 15x^2 -7xy -2y^2 

Q5c

Factor

 (2x - y + 1)^2-(x-y-2)^2 

Q5d

Factor

 5xy - 10x -3y + 6 

Q5e

Factor

 p^2 -m^2 + 6m -9 

Q5f

Use factoring to determine the x-intercepts of the curve

 y =x^3 -4x^2-x + 4 

Q6

Simplify. State any restrictions on the variables.

 \frac{4a^2b}{5ab^3} \div \frac{6a^2b}{35ab} 

Q7a

Simplify. State any restrictions on the variables.

\displaystyle \frac{x -2}{x^2-x -12} \times \frac{2x - 8}{x^2-4x + 4} 

Q7b

Simplify. State any restrictions on the variables.

\displaystyle \frac{5}{t^2-7t - 18} + \frac{6}{t + 2} 

Q7c

Simplify. State any restrictions on the variables.

\displaystyle \frac{4x}{6x^2 + 13x + 6} - \frac{3x}{4x^2 -9} 

Q7d

Miruo found that two rational functions each simplified to f(x) = \frac{2}{x + 1}.

Are Miruo's two rational functions equivalent? Explain.

\displaystyle \frac{1}{3} + \frac{1}{4} + \frac{1}{5} = \frac{47}{60}, \frac{1}{4} + \frac{1}{5} + \frac{1}{6} = \frac{74}{120},  or \displaystyle \frac{37}{60}