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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
2
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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
3

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
4

Maria solved an equation as shown below.What is the solution to Maria’s equation?

Question illustration
A
19
B
38
C
no solution
D
infinitely many solutions
5

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.Which number should she place in the box?

Question illustration
A
–3
B
–1
C
1
D
3
6

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
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

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
9

Noah solved an equation as shown below and found that the equation has infinitely many solutions.Which explains whether Noah is correct?

Question illustration
A
Noah is correct because the two sides of the equation are equivalent expressions.
B
Noah is correct because if he continues the solution, the final solution will be .
Option B
C
Noah is not correct because the equivalent expressions mean that there is no solution.
D
Noah is not correct because he used the distributive property incorrectly.
10

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

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