The equation below has one solution.

9 x minus 10 = 3 x + 2

What is the solution to the equation?
–2
–1
1
2

2

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

4(x + 2) – 5x

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

Negative 5 x + 1 = negative 5 x + 1

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

no solution

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

Negative 6 x

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