Resources

Resources

Identify equivalent linear expressions: word problems

Dirk ran out of paper towels. At the store, he finds a

2

-pack of Quick Clean paper towels for

1.74

\$

4

-pack of Soft 'n Strong paper towels for

3.60

\$

. Which brand is the better value?

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(B)Soft 'n Strong

Linda goes for a run every day after school, but she likes to make some workouts easier than others. On Monday, Linda ran

3.5

35

minutes. On Tuesday, she ran

3

40

minutes. On which day did Linda run at a faster pace?

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Ms. Yamada 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.

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

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Multi-select Choices:

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2c + 15c

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2(15c)

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30c

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c(2 + 15)

Bella 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.

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

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Multi-select Choices:

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11 + g

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8 + g + g + g

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24g

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8 + 3g

Admission to the Chesterfield County Fair is

\$10

. Once you are inside, it costs

x

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

4

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

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Multi-select Choices:

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10 + 4x

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40x

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4 + 10x

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10 + x + x + x + x

The theater department charged

\$5

per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donation of

x

dollars per ticket to help buy new costumes. On Friday night, they sold

80

tickets to the fall play, and everyone who bought a ticket donated.

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Pick all the expressions that represent how much the theater department made on Friday.

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Multi-select Choices:

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5(80 + x)

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85x

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400 + 80x

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80(5 + x)

Kathleen, Greg, and Lisa 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.

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

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Multi-select Choices:

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s + s + s

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s^3

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3s

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s + 3

Ms. Robinson'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

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

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Multi-select Choices:

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250 + 10t

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t(25 + 10)

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250 + 25t

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25(10 + t)

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

p

people at the party altogether. Olivia 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

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

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Multi-select Choices:

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

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2.50p + 1.50p

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4.00p

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p(2.50 + 1.50)

Ruby can assemble

2

gift baskets by herself in

7

minutes. Emma can assemble

4

gift baskets by herself in

15

minutes. Ruby begins assembling gift baskets at

1:00

p.m., and Emma begins assembling gift baskets at

1:15

p.m. If they continue to work at the above rates, at what time will they finish the

54^{\text{th}}

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1

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2:30

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2:42

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2:45

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3:00

A polynomial function

p

p(x)=-x(x-4)(x+2)

. What are all intervals on which

p(x) \geq 0

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[-2,4]

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[-2,0] \cup[4, \infty)

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(-\infty,-4] \cup[0,2]

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(-\infty,-2] \cup[0,4]

Warren is writing a poem. He writes

4

words on the first line,

8

words on the second line,

16

words on the third line, and

32

words on the fourth line. What kind of sequence is this?

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Diego applied to

x

colleges. If Nikki applied to

3

times as many colleges as Diego did, how many colleges did Nikki apply to?

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1

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3

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x+3

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3 x

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3 x+3

At Andy's Market, the price of a box of brand-name cereal is

1.5

times the price of a box of generic cereal. If the price of a box of brand-name cereal is

\$3.60

, which of the following can be used to determine

x

, the price of a box of generic cereal in dollars?

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1

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\frac{x}{1.5}=3.6

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1.5x=3.6

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3.6x=1.5

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x+1.5=3.6

Click and drag like terms onto each other to simplify fully.

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-1-5 x^{2}+1+2 y^{3}-1+4 x^{3}-2 x^{3}

A box of fruit candy contains

50

candy pieces in five different colors: red, orange, yellow, green, and purple. Willy opened the box and found that

22\%

of the candy pieces are purple. If the box Willy opened is representative of that particular brand of fruit candy, which of the following best estimates the total number of non-purple candy pieces in

36

boxes of the same candy?

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1

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400

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1,100

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1,400

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1,800

Erika was given this problem:

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s(t)

of a cube is increasing at a rate of

2

kilometers per hour. At a certain instant

t_{0}

1

5

kilometers. What is the rate of change of the volume

V(t)

of the cube at that instant?

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Which equation should Erika use to solve the problem?

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1

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V(t)=\sqrt{3[s(t)]^{2}}

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V(t)=[s(t)]^{2}

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V(t)=6[s(t)]^{2}

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V(t)=[s(t)]^{3}