Unit 4 – Item 1
Place the following expressions in order from least value to greatest value.
Unit 4 – Item 2
Julia is baking brownies for a party. She has a baking tray that is 18 inches wide and 24 inches long. She wants to cut the brownies into identical squares that are as large as possible, without any waste.
How many brownies can she serve that meet these conditions? What would be the dimensions (length and width) of each brownie?
Support your answer with words, numbers, symbols, equations, and/or diagrams.
Unit 4 – Item 3
Are the following expressions equivalent?
Support your answer using visual representations or algebraic reasoning.
1. 4 + x + 3 + 2x and 10x
2. 5x + 3 and 5(x + 3)
3. 2x + y and y + 2x
Unit 4 – Item 4
Two students are analyzing a set of expressions.
PART A
Critique Student Thinking
Who do you believe is correct? Explain your thinking.
PART B
Which expressions are equivalent to 36? How do you know?
Unit 4 – Item 5
Here are two diagrams. One represents 2 + 4. The other represents 4 x 2. Label the
representation of 2 + 4 as Diagram A and the representation of 4 x 2 as Diagram B. Explain your reasoning. What is the length of each diagram?
Unit 4 – Item 6
The value of one square is 2.
PART A
Write an expression to represent the mobile.
PART B
What is the value of the triangle?
Unit 4 – Item 7
Find the value of the expression when x = 4 and y = 5:
Who’s right? Why?
Unit 4 – Item 8
Which expression is equivalent to the expression below?
𝑤 + 𝑤 + 𝑤 + 𝑦 + 𝑦 + 𝑦 + 𝑦