Linear Equations EOC Review

Which inequality describes this graph?

• $y>3x-2$

• $y<3x-2$

• $y\ge3x-2$

• $y\le3x-2$

Which of the following equations match the given graph?

• $y\ge\frac{2}{5}x+1$

• $y<\frac{2}{5}x+1$
  

• $y\le\frac{2}{5}x+1$
  

• $y>\frac{2}{5}x+1$
  

Identify the graph of the following linear inequality.

 $y<\frac{1}{2}x-3$  

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What inequality matches the graph?

• $y\ge2x+3$

• $y\le2x+3$

• $y<2x+3$

• $y>2x+3$

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

• 11v + 3b = 283

  12v + 14b = 770

• v + b = 14

  v + b = 16

• 11v + 12v = 283

  3b + 14b = 770

• v + b = 30

  23v + 17b = 1053

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner (x) for $14.80, and some order steak (y) for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6

  14.80x + 17y = 91

• x + y = 91

  14.80x + 17y = 6

• x + y = 6

  14.80y + 17x = 91

• x + y = 91

  14.80x + 17y = 6

One group of friends purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group bought 7 hot dogs and 4 soft drinks at a cost of $9.00.

Let x = cost of hot dogs

Let y = cost of soft drinks

Write a system of linear equations.

•  $10x+5y=9.00$ 
    $7x+4y=12.50$  

•  $5x+10y=12.50$  
   $4x+7y\ =\ 9.00$  

•  $10x+5y=12.50$ 
    $7x+4y=9.00$  

•  $5x+10y=9.00$  
   $4x+7y=12.50$  

A group of children and adults went to the movies. They bought 2 adult tickets and 4 children tickets for $43.00. Another group bought 2 adult and two children tickets for $30.00. How much does it cost for one child ticket?

• $8.50
• $6.50
• $5.50
• $7.50

-8(-8x - 6) = -6x - 22

• 2/5
• -1
• 8/7 
• 2