AnswersGEOMETRY -Q1 – 202701Solving with Variables on Both Sides

Analyzing Solutions Answers

10 verified answers
1
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Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these equations has exactly one solution?

A
4 (x + 3) = 7 x minus 6
Option A
B
4 (x + 3) + 8 = 4 x + 20
Option B
C
4 (x + 3) + 3 x + 7 x + 12
Option C
D
4 (x + 3) + 6 = 4 x + 9
Option D
2
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Trina examined the equation below and said that the equation has exactly one solution.Which explains whether Trina is correct?

Question illustration
A
Trina is correct because the two sides of the equation are equivalent.
B
Trina is correct because the two sides of the equation are not equivalent.
C
Trina is not correct because the two sides of the equation are equivalent.
D
Trina is not correct because the two sides of the equation are not equivalent.
3

The expression on the left side of an equation is shown below.If the equation has no solution, which expression can be written in the box on the other side of the equation?

Question illustration
A
2(x + 4) – x
B
x + 8
C
4(x + 2) – 5x
D
x
4

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.Which of Jubal’s equations has no solution?

Question illustration
A
7 x + 1 = 7 x+ 1
Option A
B
3 x + 2 = 3 x minus 2
Option B
C
4 x + 1 = 3 x + 8
Option C
D
negative 2 x minus 1 = negative 2 x minus 1
Option D
5

Candice wrote the four equations below. She examined them, without solving them, to determine which equation has an infinite number of solutions.Which of Candice’s equations has an infinite number of solutions?

Question illustration
A
Negative 5 x + 1 = negative 5 x + 1
Option A
B
Negative 2 x + 1 = negative 2 x + 2
Option B
C
3 x + 5 = 3 x minus 5
Option C
D
4 x minus 2 = x + 1
Option D
6

Isaac wants the equation below to have no solution when the missing number is placed in the box.Which number should he place in the box?

Question illustration
A
2
B
4
C
6
D
8
7

LaShawn solved the equation below to the determine the solution.How many solutions does LaShawn’s equation have?

Question illustration
A
zero
B
one
C
two
D
infinitely many
8

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as shown below.Which could be the missing term that Leonardo put into the box?

Question illustration
A
x
B
3x
C
1
D
5
9

Yuto solved the equation below.What is the solution to Yuto’s equation?

Question illustration
A
–10
B
9
C
no solution
D
infinitely many solutions
10

The expression on the left side of an equation is shown below.If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?

Question illustration
A
–6
B
1
C
Negative 6 x
Option C
D
Negative 6 x + 6
Option D

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