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Types of Solutions Unit 4 M8
By Brian Miller
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Last updated about 6 years ago
18 questions
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Note from the author:
Illustrative Math 8
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Question 1
1.
Select which type of solution there is for the following equation: 3x - 8 = 5x - 28
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 2
2.
Select which type of solution there is for the following equation: 32 - 4x = -4x + 12
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 3
3.
Select which type of solution there is for the following equation: 5 - 2x = 2x - 5
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 4
4.
Select which type of solution there is for the following equation: 8 - 3x = -3x + 8
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 5
5.
Select which type of solution there is for the following equation: 10x - 6 = 2(-3 + 5x)
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 6
6.
Select which type of solution there is for the following equation: 8(3 - 5x) = -40x - 24
One Solution
No Solution
Infinite Solutions (All real numbers)
Question 7
7.
Fill in the blank to make the equation have no solution. 8x - 14 = 8x ____14
Question 8
8.
Fill in the blank to make the equation have infinite solutions. 8x - 14 = 8x ____14
Question 9
9.
How can you tell if there will be one solution to an equation with variables on both sides?
Question 10
10.
Fill in the blank to make the equation have one solution. 8x -- 32 = ____x + 4
Question 11
11.
How can you tell if there will be no solution to an equation with variables on both sides?
Question 12
12.
How can you tell if there will be infinite solutions to an equation with variables on both sides?
Question 13
13.
Write the right side of the equation to make it have infinite solutins: -4n + 9 = __________
Question 14
14.
Solve the following equation: 3(2n - 8) = 24 - 6n
If there is no solution, write
no solution
. If there are infinite solutions, write
all real numbers
.
Question 15
15.
Solve the following equation: 3(2n - 8) = 6n - 8
If there is no solution, write
no solution
. If there are infinite solutions, write
all real numbers
.
Question 16
16.
Solve the following equation: 3(2n - 8) = 5n - 8
If there is no solution, write
no solution
. If there are infinite solutions, write
all real numbers
.
Question 17
17.
Solve the following equation: 3(2n - 8) = 10n - (24 + 4n)
If there is no solution, write
no solution
. If there are infinite solutions, write
all real numbers
.
Question 18
18.
Solve the equation and then plug your solution back into both sides of the equation. What is the total for each side after plugging in the solution?
15 - 4x = 4x + 25