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Factoring and Solving Equations

Factoring and Solving Equations

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers algebra tricks for solving equations with fractional exponents. It begins with an introduction to the problem, followed by rewriting fractional exponents as mixed numbers. The tutorial then demonstrates factoring the equation by identifying common factors and using substitution to simplify it. Finally, it solves for the values of x and verifies the solutions, checking for any extraneous roots.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic of the video tutorial?

Calculus introduction

Solving linear equations

Algebra tricks with fractional exponents

Geometry basics

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation given in the problem?

x^(2/3) + x^(1/3) - 1 = 0

x^3 - 3x + 2 = 0

x^(5/3) + 2x^(4/3) - 3x = 0

x^2 + 2x - 3 = 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the fractional exponent 5/3 be rewritten?

As a fraction 3/5

As a whole number

As a mixed number 1 and 2/3

As a decimal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rewriting x^(5/3)?

Add 1 to the exponent

Multiply by 2

Break it into x and x^(2/3)

Divide by 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation?

Rewrite fractional exponents

Check the solutions

Substitute variables

Factor the expression

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common factor is found in the expression?

2x

3x

x

x^2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What form does the expression take after factoring?

Cubic

Quadratic

Exponential

Linear

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