Resources

Resources

Identify equivalent linear expressions: word problems

b

brothers. She split a package of

12

sports cards evenly among them. Choose the expression that shows how many sports cards Leslie gave each brother.

\newline

\newline

\frac{12}{b}

\newline

12 + b

\newline

12 - b

\newline

12b

Kelsey can ride her bike

18\,\text{mph}

and Brynn can walk

6\,\text{mph}

. Brynn starts walking

2

hours before Kelsey. How long after Kelsey starts riding will they meet if they travel the same direction?

\newline

How far apart will they be?

\newline

Ruben helped his grandmother plant her vegetable garden. He planted

3

rows of zucchini seeds and

4

rows of yellow squash seeds. Each row had

s

\newline

Pick all the expressions that represent how many seeds Ruben planted in all.

\newline

Multi-select Choices:

\newline

3 + 4 + s

\newline

3s + 4s

\newline

12s

\newline

7s

4

piano lessons last month. For each lesson, he memorized

2

major scales and

x

\newline

Pick all the expressions that represent how many scales Todd memorized last month.

\newline

Multi-select Choices:

\newline

2 + 4x

\newline

4(2 + x)

\newline

8 + 4x

\newline

4 + 2x

Austen's family is going to relax at the beach all day! In preparation, Austen made

s

sandwiches for them to eat when they get hungry. Austen put

3

slices of turkey and

3

slices of ham on each sandwich.

\newline

Pick all the expressions that represent how many slices of meat Austen used on the sandwiches.

\newline

Multi-select Choices:

\newline

6s

\newline

3 + 3 + s

\newline

9s

\newline

3s + 3s

Beth is hosting a movie marathon over the weekend. There will be

p

people at the party altogether. Beth estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs

\$2.50

, and a pack of gummy worms costs

\$1.50

\newline

Pick all the expressions that represent how much money Beth will spend on cheese popcorn and gummy worms.

\newline

Multi-select Choices:

\newline

2.50(p + 1) + 1.50(p + 1)

\newline

2.50p + 1.50p

\newline

4.00p

\newline

p(2.50 + 1.50)

Ms. Vincent's class is going on a field trip to the planetarium. There are

25

students in the class, and each student needs to purchase a day pass to the planetarium and a lunch ticket. The day pass costs

\$10

, and the lunch ticket costs

t

\newline

Pick all the expressions that represent the total cost for the field trip.

\newline

Multi-select Choices:

\newline

250 + 10t

\newline

t(25 + 10)

\newline

250 + 25t

\newline

25(10 + t)

\newline

For a class project, Bryant made a square-shaped model of the park near his house. Each side of his model is

x

\newline

Pick all the expressions that represent the perimeter of Bryant's model.

\newline

Multi-select Choices:

\newline

4 + x

\newline

x + x + x + x

\newline

x^4

\newline

4x

Emily needs to make

b

batches of blueberry scones this weekend for her family's brunch party. She needs

2

cartons of blueberries for each batch, and each carton costs

\$4

\newline

Pick all the expressions that represent how much Emily will spend on blueberries.

\newline

Multi-select Choices:

\newline

4(2b)

\newline

2 + 4b

\newline

4(b^2)

\newline

8b

Heather, Devin, and Celine went to a craft store to buy special beads to make friendship bracelets. Each friend plans to put

s

star-shaped beads on their bracelet.

\newline

Pick all of the expressions that represent how many star-shaped beads the friends should buy.

\newline

Multi-select Choices:

\newline

s + s + s

\newline

s^3

\newline

3s

\newline

s + 3

Admission to the Chesterfield County Fair is

\$10

. Once you are inside, it costs

x

dollars to go on each ride. When Rita went to the fair last weekend, she went on

4

\newline

Pick all the expressions that represent how much Rita spent at the fair.

\newline

Multi-select Choices:

\newline

10 + 4x

\newline

40x

\newline

4 + 10x

\newline

10 + x + x + x + x

Lucy needs to make

b

batches of blueberry scones this weekend for her family's brunch party. She needs

2

cartons of blueberries for each batch, and each carton costs

\$4

\newline

Pick all the expressions that represent how much Lucy will spend on blueberries.

\newline

Multi-select Choices:

\newline

4(2b)

\newline

2 + 4b

\newline

4(b^2)

\newline

8b

Noah's family is going to relax at the beach all day! In preparation, Noah made

s

sandwiches for them to eat when they get hungry. Noah put

3

slices of turkey and

3

slices of ham on each sandwich.

\newline

Pick all the expressions that represent how many slices of meat Noah used on the sandwiches.

\newline

Multi-select Choices:

\newline

6s

\newline

3 + 3 + s

\newline

9s

\newline

3s + 3s

Britney and her family went apple picking at an orchard. She filled one large basket with

8

green apples to make a pie. She also filled

3

small baskets with

g

green apples each to give to her friends as presents.

\newline

Pick all the expressions that represent how many apples Britney picked in all.

\newline

Multi-select Choices:

\newline

11 + g

\newline

8 + g + g + g

\newline

24g

\newline

8 + 3g

Brandon helped his grandmother plant her vegetable garden. He planted

3

rows of zucchini seeds and

4

rows of yellow squash seeds. Each row had

s

\newline

Pick all the expressions that represent how many seeds Brandon planted in all.

\newline

Multi-select Choices:

\newline

3 + 4 + s

\newline

3s + 4s

\newline

12s

\newline

7s

Ms. Shepherd runs the school cafeteria. In October, she had to order

15

cases of chocolate milk twice because the students at her school love it so much. Each case contains

c

cartons of chocolate milk.

\newline

Pick all the expressions that represent how many cartons of chocolate milk Ms. Shepherd ordered in October.

\newline

Multi-select Choices:

\newline

2c + 15c

\newline

2(15c)

\newline

30c

\newline

c(2 + 15)

For a class project, Hanson made a square-shaped model of the park near his house. Each side of his model is

x

\newline

Pick all the expressions that represent the perimeter of Hanson's model.

\newline

Multi-select Choices:

\newline

4 + x

\newline

x + x + x + x

\newline

x^4

\newline

4x

Roger's family is going to relax at the beach all day! In preparation, Roger made

s

sandwiches for them to eat when they get hungry. Roger put

3

slices of turkey and

3

slices of ham on each sandwich.

\newline

Pick all the expressions that represent how many slices of meat Roger used on the sandwiches.

\newline

Multi-select Choices:

\newline

6s

\newline

3 + 3 + s

\newline

9s

\newline

3s + 3s

4

piano lessons last month. For each lesson, he memorized

2

major scales and

x

\newline

Pick all the expressions that represent how many scales Ruben memorized last month.

\newline

Multi-select Choices:

\newline

2 + 4x

\newline

4(2 + x)

\newline

8 + 4x

\newline

4 + 2x

Grant and Tim made

8.2

gallons of chili. About how many liters of chili did they make?

\newline

(1 \text{ gallon } \approx 3.785 \text{ liters})

\newline

1

\newline

31

\newline

12

\newline

4.4

\newline

3.8

On Monday, Florencia's hair was

h

centimeters long. She got a haircut on Tuesday, so her hair was only

75\%

of the length it was on Monday.

\newline

Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?

\newline

2

\newline

h(1-0.75)

\newline

(1-\frac{75}{100})h

\newline

\frac{3}{4}h

\newline

0.75 h

\newline

\frac{1}{4}h

8

sixth-grade teachers and

7

administrators. In order to go on a field trip,

2

1

administrator need to accompany the students. How many different groups of adults can go on the field trip?

L

hours at the beach last weekend. Mateo spent

15\%

fewer hours at the beach than Landen did.

\newline

Which of the following expressions could represent how many hours Mateo spent at the beach last weekend?

\newline

2

\newline

L - \frac{1}{15}L

\newline

L(1 - 0.15)

\newline

0.15L

\newline

L - \frac{15}{100}

\newline

L - \frac{3}{20}L

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

\newline

c

b

are the same price

p

. Cassie purchased greeting cards and gift bags, the price of which can be expressed by

p(c+b)

\newline

Select all the expressions that also represent the price of the greeting cards and gift bags.

\newline

Select all that apply

\newline

pc+b

\newline

(b+c)p

\newline

pc+pb

\newline

pcb

\newline

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

\newline

Greeting cards (

c

) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by

p(c+b)

\newline

Select all the expressions that also represent the price of the greeting cards and gift bags.

\newline

Select all that apply

\newline

p c+b

\newline

(b+c) p

\newline

p c+p b

\newline

p c b

\newline

On Monday, Florencia's hair was

h

centimeters long. She got a haircut on Tuesday, so her hair was only

75\%

of the length it was on Monday.

\newline

Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?

\newline

2

\newline

h(1-0.75)

\newline

(1-(\frac{75}{100}))h

\newline

(\frac{3}{4})h

\newline

0.75h

\newline

(\frac{1}{4})h

Last Sunday, the average temperature was

8 \%

higher than the average temperature two Sundays ago. The average temperature two Sundays ago was

T

degrees Celsius.

\newline

Which of the following expressions could represent the average temperature last Sunday?

\newline

2

\newline

1.08 T

\newline

T+0.08

\newline

T+8

\newline

\left(1+\frac{8}{100}\right) T

\newline

1.8 T

(20y+5)(4y-30)=80y^{2}+by-150

for all values of

y

b

is a constant, then which of the following is the value of

b

\newline

1

\newline

-580

\newline

-40

\newline

0

\newline

620

P(t) = 1,800(1.004)^t

\newline

The function models

P

, the amount of money, in dollars, in Yara's savings account

t

years after she opened the account with an initial deposit of

\$1,800

. How much money is in Yara's account

5

years after her initial deposit if she makes no deposits or withdraws in that time?

\newline

1

\newline

\$1,836.29

\newline

\$1,873.31

\newline

\$2,189.98

\newline

\$9,036

P(t) = 1,800(1.004)^t

\newline

The function models

P

, the amount of money, in dollars, in Yara's savings account

t

years after she opened the account with an initial deposit of

\$1,800

. How much money is in Yara's account

5

years after her initial deposit if she makes no deposits or withdraws in that time?

\newline

1

\newline

\$1,836.29

\newline

\$1,873.31

\newline

\$2,189.98

\newline

\$9,036

Quinn has a large family. She has

4

cousins who live in Texas,

3

cousins who live in Nebraska, and the other

9

cousins who live in Michigan.

\newline

What is the ratio of Quinn's cousins who live in Texas to her total number of cousins?

\newline

1

\newline

3

16

\newline

4

16

\newline

7

16

\newline

9

16

Dalia is installing a tile floor in a rectangular room. Dalia has

152

tiles available to tile the room. If each row requires

9.5

19

tiles broke while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?

\newline

1

\newline

12

\newline

14

\newline

16

\newline

18

22

dollars. Colleen has

x

dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars?

\newline

1

\newline

x-22

\newline

x+22

\newline

22 \times x

\newline

22 \times x+22

Determine the angle between

0

2\pi

that is coterminal to

930^{\circ}

\newline

5.01

\newline

\frac{4\pi}{3}

\newline

\frac{7\pi}{6}

\newline

\frac{2\pi}{3}

\newline

\frac{11\pi}{6}