Systems of Equations Quiz

Solve the following system of equations using substitution method: 2x + 3y = 7 4x - y = 1

• x = 3/4, y = 1/2

• x = 5/7, y = 13/7

• x = 7/5, y = 1/7

• x = 1/2, y = 3/4

Solve the following system of equations using elimination method: 3x - 2y = 5 2x + y = 3

• x = 2, y = 2

• x = -1, y = -1

• x = 0, y = 0

• x = 1, y = 1

Graph the system of equations: y = 2x + 3 y = -x + 1

• The solution to the system of equations is the point (3, -1).

• The solution to the system of equations is the point (2, 1).

• The solution to the system of equations is the point (-1, 2).

• The solution to the system of equations is the point (0, 3).

Solve the following word problem using systems of equations: A fruit vendor sells apples for $0.50 each and oranges for $0.75 each. If the vendor sold a total of 20 fruits for $12.50, how many apples and oranges did the vendor sell?

• 5 apples and 15 oranges

• 15 apples and 5 oranges

• 8 apples and 12 oranges

• 10 apples and 10 oranges

Solve the following system of linear equations: 2x + 3y = 8 4x - y = 5

• x = 1, y = 2

• x = 23/14, y = 11/7

• x = 5/3, y = 7/4

• x = -2, y = 3

Solve the following system of equations using substitution method: 3x - 2y = 7 2x + y = 1

• x = -1, y = 1

• x = 2, y = -2

• x = 1, y = -1

• x = 0, y = 0

Solve the following system of equations using elimination method: 4x + 3y = 10 2x - y = 3

• x = 3, y = -2

• x = 2, y = -1

• x = 1, y = 0

• x = -2, y = 1

Graph the system of equations: y = 3x - 2 y = x + 4

• The solution to the system of equations is the point (4, -2).

• The solution to the system of equations is the point (-2, 2).

• The solution to the system of equations is the point (2, -4).

• The solution to the system of equations is the point (0, 0).

Solve the following word problem using systems of equations: A bakery sells muffins for $1.50 each and cookies for $2.00 each. If the bakery sold a total of 30 items for $45.00, how many muffins and cookies did they sell?

• 30 muffins and 0 cookies

• 10 muffins and 20 cookies.

• 20 muffins and 10 cookies.

• 15 muffins and 15 cookies.

Solve the following system of linear equations: 3x + 2y = 7 2x - y = 1

• x = 3, y = 4

• x = 5, y = 6

• x = 1, y = 2

• x = 9/7, y = 11/7