Systems of Linear Equations Quiz: 9th Grade Math

Question 1

What is the solution (x, y) to the system of equations:  2x + 3y = 7 and x - y = 1?

Accepted Answer

(2, 1)

Answer

(0, 1)

Answer

(3, 2)

Answer

(1, 2)

Question 2

When graphed, the system of equations y = 2x + 1 and y = -x + 3 will show:

Accepted Answer

Two lines that intersect

Answer

Two lines that are parallel

Answer

Two lines that are perpendicular

Answer

A single line

Question 3

What is the slope of the line represented by the equation 3x - 2y = 10?

Accepted Answer

3/2

Answer

-2/3

Answer

-3/2

Answer

2/3

Question 4

Which of these is a real-world example of how systems of linear equations are used?

Accepted Answer

Mixing different colored paints to get a specific shade

Answer

Finding the area of a circle

Answer

Measuring the volume of a box

Answer

Calculating the probability of rolling a certain number on a die

Question 5

Which system of equations has NO solution?

Accepted Answer

x + y = 3 and x + y = 5

Answer

2x + 3y = 6 and y = x + 1

Answer

3x + y = 7 and -3x - y = -1

Answer

x - 2y = 1 and y = (1/2)x

Question 6

Which of these is a system of linear equations?

Accepted Answer

y = 2x + 1 and 3x - y = 5

Answer

x + 2y > 4 and 2x - y < 1

Answer

y = 1/x and y = x + 1

Answer

y = x^2 + 2 and y = 3x

Question 7

If you graph the lines y = 2x - 3 and y = -x + 1, where will they intersect?

Accepted Answer

(4/3, 5/3)

Answer

(1, -1)

Answer

(2, 1)

Question 8

Which system of equations has infinitely many solutions?

Accepted Answer

2x + 4y = 6 and x + 2y = 3

Answer

x + y = 5 and x - y = 1

Answer

3x - y = 2 and 6x - 2y = 1

Answer

4x - 2y = 8 and 2x - y = 4

Question 9

What are some methods you can use to solve a system of linear equations?

Accepted Answer

All of the above

Answer

Graphing

Answer

Elimination

Answer

Substitution

Question 10

Apples cost $1.25 each and oranges cost $0.75 each. You buy 5 apples and some oranges and spend a total of $10. How many oranges did you buy?

Accepted Answer

6

Answer

10

Answer

4

Answer

8

Question 11

What is the solution to the system of equations represented by the lines  y = 2x + 1 and y = -x + 4?

Accepted Answer

(1, 3)

Answer

(-1, -1)

Answer

(2, 5)

Answer

No solution

Question 12

Solve for x in the following system of equations: 
 y = 3x - 2 
 y = -x + 4

Accepted Answer

x = 1.5

Answer

x = 0.5

Answer

x = -1

Answer

x = 2

Question 13

If a system of linear equations has infinitely many solutions, what does this tell you about the lines representing the equations?

Accepted Answer

The lines are the same (overlap completely)

Answer

The lines are parallel

Answer

The lines intersect at one point

Answer

The lines are perpendicular

Question 14

Which of the following is NOT a method used to solve a system of linear equations?

Accepted Answer

Quadratic Formula

Answer

Substitution

Answer

Graphing

Answer

Elimination

Question 15

If two lines have the same slope, what does that mean about the system of linear equations they represent?

Accepted Answer

The system has either no solutions or infinitely many solutions

Answer

The lines are perpendicular

Answer

The system has exactly one solution

Question 16

Which system of equations is considered consistent and independent?

Accepted Answer

y = 2x + 1 and y = -x + 4

Answer

y = x + 2 and y = -x + 2

Answer

y = 2x + 1 and y = 2x + 1

Answer

y = 3x - 2 and y = 3x + 5