Illustrative Mathematics Algebra I Unit 6

What is the area of the blue shaded region?

(Hint: Use the subtracting strategy).

• 26 cm

• 79 cm²

• 88 cm²

• 97 cm²

Two paper pieces are of different shapes. Tyler says that both pieces of paper have the same area. Is Tyler correct or incorrect?

• Tyler is Correct!

• Tyler is Incorrect!

Select ALL equations that represent this question: Sera is stacking building blocks to make a tower. She takes a break when the tower is 4½ feet tall, which is ⅜ of the height of the tower she wants to build. How tall is the tower when finished?

• ⅜ ⋅ ? = 4½

• ⅜ ÷ 4½ = ?

• 4½ ⋅ ⅜ = ?

• 4½ ⋅ 8/3 = ?

• 4½ ÷ ⅜ = ?

• 3  2/7
• 4  ⁴/₇
• ⁵⁷/₉
• 5  ¹/₂

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49

• x + y = 49
  10x + 5y = 1430 

• x + y = 49
  20x + 50y = 1430

• x + y = 49
  x + y = 1430

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions