Illustrative Mathematics Algebra

What is the area of the triangle?

• 26 cm

• 40 cm²

• 56 cm²

• 80 cm²

Find the area of the irregular polygon. (Use the decompose strategy).

• 24 cm

• 40 cm²

• 28 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!

Find the area of the irregular polygon.

(Hint: Use the decompose strategy OR the subtracting strategy).

• 16 units²

• 24 units

• 30 units²

• 32 units²

What is the area of the blue shaded region?

(Hint: Use the subtracting strategy).

• 105 cm²

• 108 cm²

• 30 cm

• 117 cm²

I can find the area using the rearranging strategy.

• Level 1 - No, I do not understand this strategy.

• Level 2 - So-So. I understand this strategy with help.

• Level 3 - Yes! I am able to practice this strategy independently.

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 = ?

A rectangular piece of foil has an area of 8¾ square inches. Its length is 3½ inches. What is the width of the foil?

• 2¾ inches

• 2 inches

• 245/8 inches

• 2½ inches

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Solve by substitution:

y = 2x + 1

3x + y = 16

• x = 3

• (2, 7)

• (3, 5)

• (3, 7)