Understanding Equations and Solutions

Understanding Equations and Solutions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve the equation 4x - 5 = 2(2x + 1). It begins by emphasizing the importance of isolating the variable x and simplifying both sides of the equation. The instructor demonstrates the use of the distributive property to simplify the right side of the equation. After simplifying, the instructor attempts to get all variables on one side, leading to the realization that the equation has no solution. The tutorial concludes by explaining why no value of x can satisfy the equation.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when solving an equation?

To eliminate all numbers

To simplify the equation

To make both sides equal zero

To find the value of the variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do before getting variables on the same side?

Add numbers to both sides

Subtract variables from both sides

Simplify each side if possible

Multiply both sides by zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to simplify 2 * (2x + 1)?

Associative Property

Identity Property

Distributive Property

Commutative Property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After applying the distributive property, what is the simplified form of 2 * (2x + 1)?

2x + 2

4x + 2

2x + 1

4x + 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after simplifying both sides of the equation?

Add variables to both sides

Multiply both sides by a constant

Get variables on the same side

Divide both sides by a variable

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean for equations to be equivalent?

They have the same constants

They have the same variables

They have the same solution

They have the same coefficients

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to eliminate 4x from the right side?

Division

Multiplication

Subtraction

Addition

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