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Chapter 1 Lesson 5 (variables on both sides)
Presentation
•
Mathematics
•
6th - 8th Grade
•
Hard
+7
Standards-aligned
Aimee Norman
Used 8+ times
FREE Resource
7 Slides • 16 Questions
1
Chapter 1 Lesson 5
2
Steps for Solving Equations
Use Distributive Property if necessary.
Combine Like Terms
Move terms with variables to one side of the equal sign.
Move constants (without variables) to the other side.
Get variable by itself.
3
Fill in the Blanks
Solve the equation.
Type answer...
4
Example:
3(2x + 4) + 2x = 4x -12 (Distribute the 3)
6x + 12 + 2x = 4x -12 (Combine Like Terms)
8x + 12 = 4x - 12 (Subtract 4x on both sides)
-4x -4x
4x + 12 = -12 (Subtract 12 on both sides)
-12 -12
4x = -24 (Divide by 4 on both sides)
÷4 ÷4
x = -6
5
Multiple Choice
Let's practice some more. What is the solution to this equation?
18 − 2g = 4g
3 = g
g = 12
9 = g
g = 16
6
Multiple Choice
3x + 5 = 7x + 4
x = 4
x = −4
x = 41
x = −41
7
Fill in the Blanks
−3(1+6r)=14−r
Type answer...
8
Fill in the Blanks
92=−3(6n−5)−8+n
Type answer...
9
Fill in the Blanks
−4k+2(5k−6)=−3k−39
Type answer...
10
Fill in the Blanks
Solve the following equation:
8(3g + 2) - 3g = 3(5g - 4) - 2
Type answer...
11
Multiple Choice
5 ( 3h - 9 ) - 12 = 12 - 7 ( h - 9 )
h = 6
h = 4
h = 5
h = 3
12
Fill in the Blanks
Solve for r
8(x+6)−10+r=3(x+12)+5x
Type answer...
13
Identity: an equation that is true for all values of the variable
Equation has infinitely many solutions
14
Some equations will not be true for any value of the variable
Equation has no solution
15
Multiple Choice
Determine which one fits the expression
4(1−p)=−4p+4
no solution
infinitely many solutions
one solution (aka regular equation)
16
Multiple Choice
Determine which one fits the expression
6m−m=65(6m−12)
no solution
infinitely many solutions
one solution (aka regular equation)
17
18
Fill in the Blanks
Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2
Type answer...
19
Multiple Choice
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?
15x + 2.5 = 10x + 3
15 - 2.5x = 10 - 3x
15 + 2.5x = 10 + 3x
15 - 10 = 2.5x + 3x
20
Fill in the Blanks
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. How many rides must you ride for the cost to be equal?
15+2.5x=10+3x
Type answer...
21
Multiple Choice
22
Multiple Choice
Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B
50
20
15
25
23
Chapter 1 Lesson 5
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