Solving Rational Equations: Key Concepts and Techniques

Solving Rational Equations: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
HSA.REI.A.2, HSA.APR.D.7, 8.EE.C.7B

+3

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2
,
CCSS.HSA.APR.D.7
,
CCSS.8.EE.C.7B
CCSS.7.EE.B.4A
,
CCSS.8.EE.C.8B
,
CCSS.HSA-REI.B.4B
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator (LCD) for fractions with denominators x+5 and x-3?

x^2+2x-15

x+5

x-3

x^2-2x-15

Tags

CCSS.HSA.APR.D.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of finding the LCD in equations involving fractions?

To simplify the equation

To make the denominators the same for easier solving

To eliminate the fractions

To find the highest possible denominator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving equations with fractions, what must be true about the denominators?

They must be different

They must not contain variables

They must contain variables

They must be the same

Tags

CCSS.8.EE.C.7B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of solving the equation after converting fractions to have the same denominator?

x = 5

x = -5

x = 3

x = -3

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why was x = -5 considered an extraneous solution?

It was the only solution found

It made the denominator zero

It did not satisfy the original equation

It was not a real number

Tags

CCSS.HSA.REI.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What symbol represents no solution?

An empty set

A question mark

Infinity symbol

A zero

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'double bubble' method refer to?

A strategy for factoring trinomials

A technique for simplifying fractions

A method for finding the LCD

A way to solve quadratic equations

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