Systems of Equations Linear and Quadratic

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Find the solution(s).

• (-1,7) and (0,5)

• (-4,2) and (-5,8)

• (-2,6) and (10,15)

• (-2,4) and (6,12)

Find the solution(s).

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Given the system of equations:
y = x² + 3x - 5
y = x + 3
When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Solve the following system. What is the solution?

• (1, -2)

• (-2, 1)

• (-4, 1)

• (2, 1)

Solve the system using any method. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

Solve the system of equations below:
9x - 4y = 1
-3x + 8y = -47

• (3, -7)

• (-3, 7)

• (-3, -7)

• (-7, -3)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write & solve using a system of linear equations.

• 10 Adult tickets, 11 children tickets

• 12 Adult tickets, 9 children tickets

• 60 Adult tickets, 44 children tickets

• 9 Adult tickets, 12 children tickets

• A
• B
• C
• D