Systems of Equations Substitution and graphing Quiz

What is the first step in graphing a system of equations?

• Identify the equations and their variables.

• Determine the slope of each equation.

• Solve the equations simultaneously.

• Plot the points of intersection.

Solve the following system of equations using the substitution method: 2x + y = 7,
3x - 2y = 4

• x = 18/7 and y = -4/7

• x = 2/7 and y = 3/4

• x = -18/7 and y = 4/7

• x = 7/2 and y = 4/3

A store sells two types of shirts: regular shirts for $15 each and designer shirts for $25 each. If a total of 50 shirts were sold for a total of $1050, how many regular shirts were sold?

• 10

• 40

• 20

• 30

Graph the following system of equations:

y = 2x + 3,
y = -x + 1

• (2, 7)

• (0, 3)

• (4, 9)

• (-1, 1)

Solve the following system of equations using the substitution method:

4x - 3y = 10,
2x + y = 5

• x = 3, y = -1

• x = 2.5, y = 0

• x = 2, y = 1

• x = 1, y = 2

A bakery sells two types of cakes: chocolate cakes for $20 each and vanilla cakes for $15 each. If a total of 30 cakes were sold for a total of $525, how many chocolate cakes were sold?

• 25

• 20

• 10

• 15

Graph the following system of equations:

2x - y = 4,

x + y = 2

• The graph of the system of equations is a straight line that passes through the points (0, -4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, 2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (2, 1).

• The graph of the system of equations is a straight line that passes through the points (0, -4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, 2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, 1).

• The graph of the system of equations is a straight line that passes through the points (0, 4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, -2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, 2).

• The graph of the system of equations is a straight line that passes through the points (0, 4) and (2, 0) for the equation 2x - y = 4, and a straight line that passes through the points (0, -2) and (2, 0) for the equation x + y = 2. The two lines intersect at the point (1, -1).

Solve the following system of equations using the substitution method:

3x + 2y = 8,

4x - y = 7

• x = -2, y = 5

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 4

A movie theater sells two types of tickets: adult tickets for $10 each and child tickets for $5 each. If a total of 100 tickets were sold for a total of $700, how many child tickets were sold?

• 80

• 20

• 60

• 40

Graph the following system of equations:

y = 3x - 2,

y = x + 4

• The graph of the system of equations is a point at (3, 7).

• The graph of the system of equations is a point at (0, 2).

• The graph of the system of equations is a line with a negative slope.

• The graph of the system of equations is a line with a positive slope.