Question 1

Which of the following is a rational equation?

Accepted Answer

Answer

x^2+2x=0

Answer

2x+5=0

Answer

x+2=5

Question 2

What is the solution to the equation 2x=4?

Accepted Answer

b

Answer

x=1

Answer

x=1/2

Answer

x=1/4

Question 3

Solve the equation 5x + 1 = 3. What is the value of x?

Accepted Answer

b

Answer

x=1

Answer

x=5

Answer

x=1/2

Question 4

Which step is essential to avoid extraneous solutions when solving rational equations?

Accepted Answer

c

Answer

Divide both sides by the same expression

Answer

Cross-multiply without checking solutions

Answer

Cancel out terms in the numerator

Question 5

Solve the equation 2/(x + 1) = 3/(x - 1). What is the value of x?

Accepted Answer

a

Answer

x=-2

Answer

x=-3

Answer

x=3

Question 6

What is the first step in solving (2x)/(x - 1) - 1/(x - 1) = 3?

Accepted Answer

a

Answer

Cross-multiply

Answer

Subtract 1 from both sides

Answer

Multiply both sides by 3

Question 7

Solve the equation (x)/(x + 2) = 4/(x + 2).

Accepted Answer

d

Answer

x=4

Answer

x=2

Answer

x=-4

Question 8

Find the solution to the equation 3x + 2x = 5.

Accepted Answer

b

Answer

x=1

Answer

x=1/5

Answer

x=5/3

Question 9

Which of the following rational equations has no solution?

Accepted Answer

b

Answer

(x + 2)/(x - 2) = 1

Answer

(5x - 1)/(x - 1) = 1

Answer

(x - 3)/(x + 1) = 2

Question 10

What must you do first when solving the equation x + 1/2 = 3/4?

Accepted Answer

c

Answer

Add 1 to both sides

Answer

Divide both sides by 2

Answer

Find the least common denominator (LCD)

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