AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksSolving with Variables on Both Sides

Analyzing Solutions Answers

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Which statements accurately describe this equation? Check all that apply.

A
This equation has one solution.
B
This equation has no solution.
C
This equation has infinitely many solutions.
D
Any input value for the variable will generate a true equation.
E
Any input value for the variable will generate a false equation.
3

This equation has one solution✔ infinitely many solutionsno solution.

A
one solution
B
✔ infinitely many solutions
C
no solution
4

Which of the following is true? (Check all that apply.)

A
It is a true statement.
B
Any input will result in an equivalent equation.
C
It is equivalent to an equation of the form a = a.
D
It has no solution.
E
Only one input will result in a true statement.
5

Which linear equations have one solution? Check all that apply.

A
5x – 1 = 3(x + 11)
B
4(x – 2) + 4x = 8(x – 9)
C
4(x – 6) + 4 = 2(x – 3)
D
2(x – 4) = 5(x – 3) + 3
E
2(x – 1) + 3x = 5(x – 2) + 3
6

Which equation has infinitely many solutions?

A
5(2x + 4) = 10x – 12
B
5(2x + 4) = 10(x + 2)
C
5(2x + 4) = 12x
D
5(2x + 10) = 20(x + 1)
7

How many solutions does this equation have?

A
one solution
B
two solutions
C
infinitely many solutions
D
no solution
8

He used the distributive property incorrectly in the first step.He used the addition property of equality incorrectly in the second step.He should have found that the equation has one solution of x = 18.He should have found that there are no solutions because the statement is false.

A
He used the distributive property incorrectly in the first step.
B
He used the addition property of equality incorrectly in the second step.
C
He should have found that the equation has one solution of x = 18.
D
He should have found that there are no solutions because the statement is false.

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