Lesson 2: Practice Problems

Problem 1 From Unit 3 Lesson 1

The table shows the number of apples and the total weight of the apples.

number of apples	weight of apples (grams)
$2$	$511$
$5$	$1200$
$8$	$2016$

Problem 2

Select all stories that the tape diagram can represent.

A tape diagram labeled 87 with 4 segments each labeled x and one larger segment labeled 39.

There are 87 children and 39 adults at a show. The seating in the theater is split into 4 equal sections.
There are 87 first graders in after-care. After 39 students are picked up, the teacher put the remaining students into 4 groups for an activity.
Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.
Andre buys 4 packs of paper clips with 39 paper clips in each. Then he gives 87 paper clips to his teacher.
Diego’s family spends $87 on 4 tickets to the fair and a $39 dinner.

Problem 3

Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a $2 donation to the food bank in weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift. He draws a tape diagram to represent the situation.

A tape diagram labeled 40 with 5 segments each labeled "x - 2"

Explain how the parts of the tape diagram represent the story.
How much does Andre’s neighbor pay him each week to mow the lawn?

Problem 4 From Unit 5 Lesson 13

Without evaluating each expression, determine which value is the greatest. Explain how you know.

$7 \frac{5}{6} - 9 \frac{3}{4}$
$(- 7 \frac{5}{6}) + (- 9 \frac{3}{4})$
$(- 7 \frac{5}{6}) \cdot 9 \frac{3}{4}$
$(- 7 \frac{5}{6}) \div (- 9 \frac{3}{4})$

Problem 5 From Unit 5 Lesson 15

Solve each equation.

$(8.5) \cdot (- 3) = a$
$(- 7) + b = (- 11)$
$c - (- 3) = 15$
$d \cdot (- 4) = 32$