Question

The equation below has one solution.

9 x minus 10 = 3 x + 2

What is the solution to the equation?
–2
–1
1
2
Answer
he expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x + 4) – x
x + 8
4(x + 2) – 5x
x
Answer
Candice wrote the four equations below. She examined them, without solving them, to determine which equation has an infinite number of solutions.

Negative 5 x + 1 = negative 5 x + 1. Negative 2 x + 1 = negative 2 x + 2. 3 x + 5 = 3 x minus 5. 4 x minus 2 = x + 1.

Which of Candice’s equations has an infinite number of solutions?
Negative 5 x + 1 = negative 5 x + 1
Negative 2 x + 1 = negative 2 x + 2
3 x + 5 = 3 x minus 5
4 x minus 2 = x + 1
Answer
Yuto solved the equation below.

Negative 2 (x + 5) = negative 2 (x minus 2) + 5

What is the solution to Yuto’s equation?
–10
9
no solution
infinitely many solutions
Answer
The expression on the left side of an equation is shown below.

Negative 6 x + 6 = box

If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?
–6
1
Negative 6 x
Negative 6 x + 6
Answer
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.

Box (x minus 3) + 2 x = negative (x minus 5) + 4

Which number should she place in the box?
–3
–1
1
3
Answer
Isaac wants the equation below to have no solution when the missing number is placed in the box.

Box (x + 2) + 2 x = 2 (x + 6) + 4 x

Which number should he place in the box?
2
4
6
8
Answer
The expression on the left side of an equation is shown below.

Negative 5 (x + 2) + 3 x = box

If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?
Negative 5 (x minus 3) + 2 x
–5x – 10
xMinus 2 x + 2 + 3 x
Negative 2 (x + 5)
Answer
Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.

7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1.

Which of Jubal’s equations has no solution?
7 x + 1 = 7 x+ 1
3 x + 2 = 3 x minus 2
4 x + 1 = 3 x + 8
negative 2 x minus 1 = negative 2 x minus 1
Answer
LaShawn solved the equation below to the determine the solution.

3 x minus 8 = negative x + 4 (x minus 2)

How many solutions does LaShawn’s equation have?
zero
one
two
infinitely many
Answer
3bro u made me get a 40 on my test
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2
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4(x + 2) – 5x
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Negative 5 x + 1 = negative 5 x + 1
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no solution
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Negative 6 x
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3
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6
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Negative 5 (x minus 3) + 2 x
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3 x + 2 = 3 x minus 2
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one
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