Solving Algebraic Fractions Techniques

Solving Algebraic Fractions Techniques

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSA.REI.A.2, HSA-REI.B.4B, 7.EE.B.4A

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2
,
CCSS.HSA-REI.B.4B
,
CCSS.7.EE.B.4A
This video tutorial covers solving algebraic fractions by simplifying, adding, and subtracting them, similar to numeric fractions. It emphasizes using cross multiplication to eliminate denominators, making the process easier. The tutorial includes examples, highlighting the occurrence of quadratic equations and the need for factorization. Viewers are encouraged to practice solving problems and verify solutions by substitution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary method introduced for solving algebraic fractions in this video?

Graphical method

Using substitution

Finding a common denominator

Cross-multiplication

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving algebraic fractions, why is cross-multiplication preferred over finding a common denominator?

It is faster

It is more accurate

It eliminates the denominators completely

It requires less algebraic manipulation

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the first step to eliminate the denominators?

Divide by x + 4

Subtract the fractions

Multiply by 3x - 2

Add the fractions

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for x in the first example problem?

x = 4

x = 5

x = 6

x = 7

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of equation might you encounter when solving algebraic fractions?

Quadratic equations

Logarithmic equations

Linear equations

Exponential equations

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the quadratic example, what are the solutions for x?

x = -6 and x = 5

x = -5 and x = 6

x = 5 and x = 6

x = -6 and x = 4

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to substitute the solutions back into the original equation?

To simplify the equation further

To eliminate any errors in calculation

To find additional solutions

To verify the solutions are correct

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