AnswersSSCR 26 Math Essentials AAnalyzing Solutions

Analyzing Solutions Answers

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Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?

A
6 (x + 3) + x = 7 x + 2 + 1
Option A
B
6 (x + 3) + x = 7 x + 5
Option B
C
6 (x + 3) + x = 6 x + 3 + 15
Option C
D
6 (x + 3) + x = 7 x + 9 + 9
Option D
2
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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
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

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
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

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

Question illustration
A
–8
B
0
C
no solution
D
infinitely many solutions
7

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
3 (x + 4)
Option A
B
2 (x + 6) + x
Option B
C
4(x – 3) – x
D
3 (x + 1) + 9 x
Option D
8

The equation below has one solution.What is the solution to the equation?

Question illustration
A
–2
B
–1
C
1
D
2
9

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
10

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.Which method should Jeremy use?

Question illustration
A
Determine whether the equation has the form , and if it does, the equation has infinitely many solutions.
Option A
B
Determine whether the equation has the form , and if it does, the equation has no solution.
Option B
C
Determine whether the equation has the form , and if it does, the equation has one solution.
Option C
D
Determine whether the equation has the form , and if it does, the equation has no solution.
Option D

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