8th Grade Math Quiz: Solving Systems of Equations

What is the y-intercept of the black line in the first problem?

• 2

• 1

• 3

• 4

How do you find the solution to a system of equations by looking at a graph?

• By identifying the point where the lines intersect

• By calculating the average slope

• By measuring the distance between the lines

• By finding the midpoint of the lines

Which of the following equations is part of the system with the solution (5, -19)?

• y = -3x - 6

• y = 10x - 23

• y = -35x + 16

• y = -10x - 9

What is the solution to the system of equations y = 4x - 3 and y = -2x + 9?

• (1, 5)

• (2, 5)

• (3, 6)

• (4, 7)

When solving the system y = 5/4x - 2 and y = -1/4x + 19, what is the value of x?

• 12

• 13

• 14

• 15

What is the final value of y in the system y = 5/4x - 2 and y = -1/4x + 19?

• 14.5

• 15

• 15.5

• 16

What is the first step in solving an equation using the distributive property?

• Add all terms on one side

• Multiply each term inside the parentheses

• Divide both sides by a constant

• Subtract terms from both sides

In the equation 15x - 45 = 30x - 45, what is the value of x?

• 0

• 1

• 2

• 3

How do you verify a solution to an equation?

• By substituting the solution back into the original equation

• By graphing the equation

• By finding the slope

• By calculating the y-intercept

What is the result of substituting x = 0 into the equation 15x - 3?

• 5

• 3

• 0

• -3