Rational Equations and Graphing Concepts

Rational Equations and Graphing Concepts

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

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

+5

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.7.EE.B.4A
,
CCSS.HSA.REI.A.2
CCSS.HSF-IF.C.7D
,
CCSS.HSA.APR.D.7
,
CCSS.8.EE.C.7B
,
CCSS.7.NS.A.2D
,
CCSS.8.NS.A.1
,
The video tutorial covers solving rational equations by first identifying values that make the denominator zero and excluding them. It explains clearing fractions using a common denominator, solving the equation, and verifying solutions through graphing. The tutorial includes two examples, highlighting the importance of checking solutions graphically to ensure accuracy.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a rational equation?

Multiply both sides by zero

Identify values of x that make the denominator zero

Add fractions to both sides

Subtract the numerator from the denominator

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator for the denominators 12 and 4?

4

16

12

48

Tags

CCSS.7.EE.B.4A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After clearing the fractions in the first example, what is the next step?

Multiply both sides by 2

Add 7 to both sides

Divide both sides by 3

Subtract 3x from both sides

Tags

CCSS.HSA.REI.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the solution of a rational equation using graphing?

Find the point of intersection

Find the y-intercept

Find the x-intercept

Find the slope of the line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of 31/2?

14.5

13.5

16.5

15.5

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what value of x must be excluded?

x = 5

x = 10

x = -5

x = 0

Tags

CCSS.HSA.APR.D.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator in the second example?

x + 5

x + 10

x - 5

x - 10

Tags

CCSS.8.EE.C.7B

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