Solving Equations
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Easy
+6
Standards-aligned
Colton Gregg
Used 4+ times
FREE Resource
2 Slides • 11 Questions
1
Solving Equations
Objective: Introduce and explain solving equations with the distributive property and variables on both sides.
Math 8 CCLS: 8.EE.7
2
Match
Match each operation to its inverse (or "opposite") operation. Remember: Opposite operations are used to solve algebraic equations.
ADD
MULTIPLY
SQAURING
CUBING
SUBTRACT
DIVIDE
SQUARE ROOT
CUBE ROOT
SUBTRACT
DIVIDE
SQUARE ROOT
CUBE ROOT
3
Match
Match the word phrase to the numerical expression
two more than four times a number
eight less than three times a number
five less than twice a number
three times a number increased by one
four times a number decreased by two
2 + 4x
3x - 8
2x - 5
3x + 1
4x - 2
2 + 4x
3x - 8
2x - 5
3x + 1
4x - 2
4
Match
Match the Equations Vocabulary to its Definition.
Coefficient
Variable
Constant
Expression
Equation
A numerical factor in a term
A symbol representing a number
A fixed value that does not change
A phrase that uses variables and numbers
A statement that two expressions are equal
A numerical factor in a term
A symbol representing a number
A fixed value that does not change
A phrase that uses variables and numbers
A statement that two expressions are equal
5
Multiple Choice
24x=96
4
8
6
9
6
Drag and Drop
7
Drag and Drop
8
Reorder
4(x + 2)=16
Distribute 4 to both x and 2
Rewrite the equation as 4x+8=16
Subtract 8 on both sides
Divide both sides by 4
Check answer is x = 2
9
Open Ended
Which one does not below belong and why?
2x - 6
4x
6x + 1 + x
x^3 + 5
10
LINEAR EQUATIONS
Some of the expressions in the last problem are linear expressions. A linear expression is an expression that can be written as the sum or difference of expressions that consist of either a number, a variable, or the product of a number and a variable.
A number in a linear expression is called a constant term. A variable or the product of a number and a variable is called a linear term.
11
Draw
Circle the LINEAR equations
12
Match
Match the Equations to their Linear or Nonlinear Lables
NONLINEAR
LINEAR
NONLINEAR
LINEAR
LINEAR
NONLINEAR
LINEAR
NONLINEAR
LINEAR
LINEAR
13
Match
Match each expression with its equivalent, simplified expression.
3(x - 5)
3(2x + 5)
- (y + 2)
6x - 3 - 2x + 5
-x + 7 + 5x - 1
3x - 15
6x + 15
-1y - 2
4x + 2
4x + 6
3x - 15
6x + 15
-1y - 2
4x + 2
4x + 6
Solving Equations
Objective: Introduce and explain solving equations with the distributive property and variables on both sides.
Math 8 CCLS: 8.EE.7
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