Unit 7 Review Systems of Linear Equations and Inequalities

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 

• 1s + 3c = 38
  2s + 3c = 52
• 3s + 1c = 38
  3s + 2c = 52
• s + c = 38
  s + c = 52
• 3s + 3c = 38
  1s + 2c = 52

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8
• t + n = 54
  n = 3t + 8
• t + n = 54
  t = 3n - 8
• t + n = 8
  t = 3n + 54

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y? 

• 14
• 4
• 6
• 2

• 5

• 0

• -1

• 2

• (0, -4)

• (2, 4)

• No solution 

• (2, 0)

Solve the system

4x+4y=4

3x+4y=10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

Solve the system of inequalities by graphing.

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