Algebra Module Review

The length (y) of a rectangle is equal to triple the width (x). The perimeter of the rectangle is 86 centimeters.

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

• 10 adults, 11 children

• 12 adults, 9 children

• 11 adults, 10 children

• 9 adults, 12 children

Solve the system −4x − 4y = 0

4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Solve the  system by substitution. 

y = −6x + 3
−18x − 3y = 4 

• (−3, 8) 

• (−8, −3) 

• (2, −3) 

• No Solution

Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2

• A

• B

• C

• D

Is (1,1) a solution to this system of inequalities?

• yes

• no

• no solution

This graph matches which inequality?

• y > 3

• y ≥ 3

• x≥3

• x>3

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair. 

• 10x+15y≤480
  45x+25y≥250

• 10x+25y≤200
  15x+45y≤480

• 10x+25y>200
  15x+45y<480

• 10x+25y≥200
  15x+45y≤480

Cullin needs to save at least $100 for homecoming.  He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns.  He only has time to work 14 hours before homecoming. 

• x + y  ≥ 25
  x + y ≤ 8

• 100x + 25 y ≤ 100
  2x + 8y ≤ 14

• x + y ≥ 100
  8x + 25y ≤ 14

• 8x + 25y ≥ 100
  x + y ≤ 14