Solving Rational Equations: Factoring and Cross Multiplying

Solving Rational Equations: Factoring and Cross Multiplying

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Emma Peterson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving rational equations by factoring?

Cross-multiply the equations

Find the least common denominator

Set the denominator equal to zero

Check if the numerator is factorable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to check your solutions in rational equations?

To ensure the solution does not make the denominator zero

To verify the solution is less than zero

To confirm the solution is a whole number

To make sure the solution is greater than one

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if a solution is 'in a hole'?

The solution is undefined

The solution makes the denominator zero

The solution is an asymptote

The solution is valid and does not make the denominator zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct factorization of x^2 + 5x + 6?

(x - 2)(x - 3)

(x + 2)(x + 3)

x(x + 6) + 5

x(x + 5) + 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve a rational equation by cross-multiplying?

Multiply diagonally across the equation and solve

Add the numerators together

Multiply opposite sides' numerator and denominator

Multiply denominators by each other

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of cross-multiplying 3/(x+1) = 9/(4x+5)?

9x + 27 = 12x + 15

x + 1 = 3(4x + 5)

3x + 9 = 4x + 5

3(4x+5) = 9(x+1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the equation after cross-multiplying and simplifying 3x - 9 = 12x + 15?

x = 2

x = -2

x = 3

x = -3

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