Systems of Equations Quiz

Solve the system of linear equations algebraically:
{ 2x + 3y = 6
x - y = 2 }

Solve the system consisting of a linear equation and a quadratic equation graphically:
{ y = x^2 + 1
y = 2x + 3 }

Find the solution to the quadratic function:
x^2 - 4x + 4 = 0

Model the constraints by the system of equations and interpret the solution: A company produces two products, A and B. The production constraints are:
{ 2A + B = 100
A + 3B = 90 }
If the company produces 20 units of product A, how many units of product B can it produce to stay within the constraints?

• 30

• 20 (huh?)

• 10

• 40

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

Find the solution to the exponential function:

2^x = 16

• 1

• -2

• (1, 2)

• (1, -1)

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

What is the solution of the system of equations graphed?

• (4, 2)

• (0, 6)

• (0, 3)

• (2, 4)

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)
• (5,0)
• (2,-3)
• (8,9)