Illustrative Math Algebra 2 Unit 1

At a zoo, the price of 4 adult tickets and 6 child tickets is $77. The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one child? Hint: write a system of equations and solve (see the word problem in lesson 4-3) Write your answer in the form $#.##

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

• 13

• identity

• no solution

• 39

• 3

• identity

• no solution

• 7

• 7

• identity

• 0

• -5

• 7

• no solution

• 5

• -5

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

5x - 4 + 2x = 3

• 1

• 2

• 3

• 4

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)