How many solutions does the equation have?
2(4 + 3x) = (9x − 2) − (x + 4)
Foundations of Algebra Solving Equations
Quiz
•
Mathematics
•
8th Grade
•
Hard
Anthony Clark
FREE Resource
12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many solutions does the equation have?
2(4 + 3x) = (9x − 2) − (x + 4)
1 solution
2 solutions
Infinitely many solutions
no solutions
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Using the appropriate property of equality, which one of the following is a valid next step for solving the equation 7x + 20 = 4 − x ?
7x + 24 = −x
8x + 20 = 4
7x = 24 − x
20 = 4 + 6x
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which equation is equivalent to
7(b − 4) = 5(b + 4) + 6?
7b − 4 = 5b + 10
7b − 4 = 5b + 24
7b − 28 = 5b + 26
7b− 28 = 5b + 50
4.
FILL IN THE BLANK QUESTION
1 min • 4 pts
Select the box that correctly identifies the only solution or the best description of how many solutions there are for each equation.
Write the number for the choice you select.
5.
MULTIPLE SELECT QUESTION
1 min • 2 pts
Steven needs to solve the equation 6x + 10 = 2(x - 5).
Which equations represent a first step Steven could use to solve the original equation?
Select all that apply.
Steven subtracts 2 from both sides of the equation to get 6x + 8 = x - 5.
Steven subtracts 10 from both sides of the equation to get 6x = 2(x - 15).
Steven distributes 2 on the right side of the equation to get 6x + 10 = 2x - 10.
Steven divides both sides of the equation by 10 to get 6x + 1 = 5(x - 5).
Steven divides both sides of the equation by 2 to get 3x + 5 = x - 5.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Harper has an amount of money saved that can be represented by the expression 4x + 16.
Her friend Margaret has savings represented by the expression 8x + 32.
Which describes how Margaret's amount of money saved compares to Harper's amount saved?
Margaret's amount saved is 2 times as much as Harper's amount saved.
Margaret's amount saved is 4 times as much as Harper's amount saved.
Margaret's amount saved is 6 times as much as Harper's amount saved.
Margaret's amount saved is 8 times as much as Harper's amount saved.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The formula for the perimeter (P) of a rectangle is P = 2L + 2W.
What should be the first step when
solving for W?
P + 2L = 2W
P − 2L = 2W
P + 2W = 2L
P − 2W = 2L
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