Solving Problems Using Equations and Inequalities

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. To solve, I graphed: x + y = 21 6x + 4y = 104 I got an intersection point at (10,11). What does that mean in context of the problem?

• There are 10 adults and 11 children.

• There are 11 adults and 10 children.

• The adults are $10 and the children are $11.

• There are 104 adults and 21 children.

which equation best represents this graph?

• y < 1/2x + 1

• y < 1/2x + 2

• y >1/2x + 2

• y > 2x

Identify the inequality.

• y > 2

• y ≤ 1

• x ≥ 2

• y ≥ 1

Identify the inequality.

• y > x+1

• y ≤ 1x+1

• y ≥ x+1

• y ≤ x-1

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve with substitution

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)