Resources

Resources

Solve one-step and two-step equations: word problems

At the school's holiday craft fair, Haley and her classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the

9

students at the table. Each student gets

3

licorice ropes to decorate the roof of his or her gingerbread house.

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Which equation can you use to find the number of licorice ropes

r

that came in the bag?

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r + 9 = 3

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9r = 3

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r - 9 = 3

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\frac{r}{9} = 3

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Solve this equation for

r

to find the number of licorice ropes that came in the bag.

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Loaves of bread are sold in bags closed with plastic clips.

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Students at East Lake School collected

1

million of these clips.

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They want to estimate the total mass of the clips, in kilograms.

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Which rule will not give them a good estimation?

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Count the number of clips in

10

grams of clips, then multiply by

100000

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Count the number of clips in

1

kilogram of clips, then divide

1

million by this number.

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Find the mass of

1

clip in grams, multiply by

1

million and then divide by

1000

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Find the mass of

20

clips in grams, divide by

1000

and then multiply by

10

0

Direct Messages - SEQTA Lea

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Assessment Master - Exam Wi

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assess.scsa.wa.edu.au/engine/index.php/lms/index

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School Curriculum and Standards Authority

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0

19

34

0

50

00

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31751624

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Loaves of bread are sold in bags closed with plastic clips.

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Students at East Lake School collected

1

million of these clips.

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They want to estimate the total mass of the clips, in kilograms.

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Which rule will not give them a good estimation?

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41

45

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32

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33

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34

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35

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36

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Count the number of clips in

10

grams of clips, then multiply by

100000

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Count the number of clips in

1

kilogram of clips, then divide

1

million by this number.

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Find the mass of

1

clip in grams, multiply by

1

million and then divide by

1000

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Find the mass of

20

clips in grams, divide by

1000

and then multiply by

50000

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Content copyright WA School Curriculum and Standards Authority

2024

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SoNET Systems Pty Ltd.

2024

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1

, Dollar Co. sold merchandise to Pound Co. on account,

\$ 25,500

45

. The cost of the goods sold was

\$ 19,500

. The entry to journalize the sale will include a

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a. debit to Sales for

\$ 25,500

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b. credit to Sales for

\$ 19,500

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c. debit to Accounts Receivable for

\$ 25,500

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d. credit to Accounts Receivable for

\$ 19,500

On the last day of her summer tennis camp, Kathleen helps her instructor sort through a basket of tennis balls to throw out the old ones. Kathleen ends up throwing away

15

of the balls. She returns the remaining

57

balls to the basket.

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Which equation can you use to find the total number of tennis balls

t

Kathleen checks?

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\frac{t}{15} = 57

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t + 15 = 57

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t - 15 = 57

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15t = 57

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Solve this equation for

t

to to find the total number of tennis balls Kathleen checks.

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On a sunny fall day, Addison and her family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs

24

pounds. In all, Addison's family picks

42

pounds of apples.

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Which equation can you use to find the weight

w

of the Golden Delicious apples?

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w - 24 = 42

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24w = 42

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w + 24 = 42

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\frac{w}{24} = 42

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Solve this equation for

w

to find the weight of the Golden Delicious apples.

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The edges on Wayne's snowboard are chipped and dented from riding over rocks, so Wayne wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Wayne figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Wayne sells

43

cups of hot chocolate. Now, he needs to sell

47

more cups to buy the snowboard.

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Which equation can you use to find the total number of cups

c

Wayne must sell to buy the snowboard?

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43c = 47

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\frac{c}{43} = 47

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c + 43 = 47

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c - 43 = 47

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Solve this equation for

c

to find the total number of cups Wayne must sell to buy the snowboard.

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On a sunny fall day, Brandon and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs

24

pounds. In all, Brandon's family picks

42

pounds of apples.

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Which equation can you use to find the weight

w

of the Golden Delicious apples?

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24w = 42

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w + 24 = 42

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w - 24 = 42

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\frac{w}{24} = 42

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Solve this equation for

w

to find the weight of the Golden Delicious apples.

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The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for

9

days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of

25

\$

applied to their rental cost. The Logans will pay

920

\$

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Which equation can you use to find

d

, how much the agency charges per day?

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(A) 9(d - 25) = 920

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(B) 25(d - 9) = 920

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(C) 25d - 9 = 920

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(D) 9d - 25 = 920

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How much does the agency charge per day?

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\$

4

: Write and solve a system of equations to model each situation.

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1

. Two pizzas and four sandwiches cost

\$ 62

. Four pizzas and ten sandwiches cost

\$ 140

. How much does each pizza and sandwich cost?

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\int 2 x+4 y=62

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\begin{array}{l} 4 x+10 y=140 \\ (2 x \cdot 2)+(4 y \cdot 2)+(62 \cdot 2) \\ 7 \\ 4 x+8 y=124 \\ 4 x+10 y=140 \\ -2 y=-115 \end{array}

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(2 x \cdot 2)

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2

. At a clothing store,

3

8

\$ 65

2

2

\$ 30

. How much does each shirt and hat cost?

The numbers of parts produced by three different machines are shown in the table

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Numbers of Machine Parts

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\begin{tabular}{|c|c|c|c|}

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\hline Minutes & Machine Q & Machine R & Machine S \\

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1

9

8

6

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3

18

24

18

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9

72

72

52

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Only one of the machines produces parts at a constanl rate. Wilte an equatlan that can be used to represent

y

the number of parts produced irt

x

mirsules. for that machine.

x

milliliters (mL) of a cranberry drink containing

10\%

real juice with

200

mL of a cranberry drink containing

70\%

real juice to make

y

50\%

cranberry juice mix. Which of the following systems of equations could be used to determine how much of the cranberry drink containing

10\%

juice Joseph put into the mixture?

\$200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only t-shirts, he will get

80

t-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of t-shirts,

t

, that Aiden could purchase with this money?

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1

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40h+80t=400

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80h+40t=200

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5h+2.5t=200

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2.5h+5t=200