Rational Equations and Graphing Techniques

Rational Equations and Graphing Techniques

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

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

+2

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2
,
CCSS.7.EE.B.4A
,
CCSS.HSA.APR.D.7
CCSS.7.NS.A.2D
,
CCSS.8.NS.A.1
,
The video tutorial covers solving rational equations by first identifying values that make denominators zero, finding the least common denominator, and clearing fractions. Two examples are solved, with solutions verified graphically using a calculator. The process involves converting fractions to decimals and adjusting graphing windows to find intersection points, ensuring solutions are correct.

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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?

Graph the equation

Identify values of x that make denominators zero

Solve for x

Identify the common denominator

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, why can't x equal 4?

It makes the equation too complex

It results in division by zero

It is not a real number

It is not an integer

Tags

CCSS.7.EE.B.4A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for x in the first example?

x = 11

x = 35/3

x = 4

x = 23

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the solution for the first example verified graphically?

By calculating the area under the curve

By finding the point of intersection

By comparing with a table of values

By checking the slope of the line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, which values of x are not allowed?

x = 2 and x = 5

x = -4 and x = 3

x = 0 and x = 1

x = -3 and x = 4

Tags

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common denominator in the second example?

x + 4 and x - 3

x - 3

x + 4

x - 4

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for x in the second example?

x = 5

x = 2

x = 7

x = -34/5

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