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Solving Equations and Their Solutions

Solving Equations and Their Solutions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve multi-step equations with variables on both sides, focusing on identifying special solutions. It covers two types of special solutions: no solution and all real numbers. The tutorial demonstrates how to recognize these solutions by simplifying equations and analyzing the resulting statements. If variables cancel out and an untrue statement remains, it indicates no solution. Conversely, if a true statement remains, it indicates all real numbers as solutions. The video emphasizes understanding these concepts to correctly solve equations.

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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving multi-step equations with variables on both sides?

Combine like terms

Subtract variables from both sides

Distribute any coefficients

Add constants to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with variables on both sides?

Distribute any coefficients

Combine like terms

Subtract variables from both sides

Add constants to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When distributing a coefficient, what operation is performed?

Subtraction

Addition

Multiplication

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with parentheses?

Combine like terms

Distribute the coefficient

Add variables to one side

Subtract constants from both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with a special solution?

Subtract constants from both sides

Distribute the coefficient

Combine like terms

Add variables to one side

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after distributing and combining like terms?

Multiply both sides by a constant

Divide by the coefficient of x

Move all variables to one side

Add constants to both sides

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after distributing in a multi-step equation?

Combine like terms

Add variables to one side

Subtract constants from both sides

Divide by the coefficient of x

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