
Algebraic Expression and Two-Step Equations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Brooke Devitt
FREE Resource
11 Slides • 10 Questions
1
Algebraic Expressions &
Two-Step Equations
By Brooke Devitt
2
Welcome & Learning Goal
Welcome! In this lesson, you will learn how to identify the parts of an algebraic expression and solve two-step equations. You will practice using interactive activities and games before taking a short quiz to show what you know. Take your time, read each question carefully, and do your best.
3
3x + 5
This expression means three times a number plus five.
Example
An algebraic expression is a math phrase that includes numbers, variables, and operations. Algebraic expressions do not have an equals sign.
Algebraic Expression
What Is an Algebraic Expression?
4
In the expression 4x + 2, the variable is x because it stands for an unknown number.
Example
A variable is a letter that represents an unknown number. The value of the variable can change.
Variable
Identify the Variable
5
In the expression 7y + 9, the constant is 9.
Example
A constant is a number that does not change and does not have a variable attached to it.
Constant
Identify the Constant
6
In the expression 6x, the coefficient is 6 because it means 6 times x.
Example
A coefficient is the number that is multiplied by the variable.
Coefficient
Identify Coefficient
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Match
Match the following
Variable
Constant
Coefficient
Letter that stands for an unknown number
A number without a variable
A number multiplied by a variable
Letter that stands for an unknown number
A number without a variable
A number multiplied by a variable
8
Drag and Drop
5x + 8
9
Drag and Drop
5x + 8
10
Drag and Drop
5x + 8
11
2x + 4 = 10
You must undo addition or subtraction first, then multiplication or division.
Example
A two-step equation is an equation that takes two steps to solve. To solve a two-step equation, you undo the operations in the opposite order.
Two-Step Equation
What Is a Two-Step Equation?
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2x + 4 = 10
Subtract 4 from both sides.
2x = 6
Divide both sides by 2.
x = 3
Example
To solve a two-step equation, follow these steps carefully.
Step 1: Undo addition or subtraction.
Step 2: Undo multiplication or division.
How to Solve?
Solving a Two-Step Equation
13
Multiple Choice
Question 1 (Multiple Choice):
In the expression 7y + 2, what is the variable?
7
2
y
+
14
Multiple Choice
Question 2 (Multiple Choice):
What is the first step to solve the equation 3x − 5 = 10?
Divide by 3
Add 5
Subtract 3
Multiply by 5
15
Open Ended
Question 3 (Short Response):
Solve the equation: 4x + 8 = 20
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Review Game
Game / Review Activity
Let’s review! Answer the questions below to practice identifying algebraic expressions and solving two-step equations. This activity is for practice only, so try your best and learn from your mistakes.
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Summative Assessment:
Mini Quiz
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Open Ended
Question 1:
Identify the variable in the expression 9k − 4.
19
Open Ended
Question 2:
What is the coefficient in the expression 6x + 3?
20
Open Ended
Question 3:
Solve the equation: 5x + 10 = 35
21
Completion & Support
Great job completing this lesson! If you need help or want to review the material again, you can go back through the lesson at your own pace. If you still have questions, please reach out to your teacher for support.
Algebraic Expressions &
Two-Step Equations
By Brooke Devitt
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