Free Printable 6.9AC + 7.10AC - Writing(Translating) 1/2-Step Equations

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6.9AC + 7.10AC - Writing(Translating) 1/2-Step Equations

Total questions: 46

Worksheet time: 2hrs 0mins

Name

Class

Date

r divided by 8 is 9

r/8 = 9

8/r = 9

r = r/8

9 = 8/r

9 increased by m is 15

m + 15 = 9

9 + m = 15

9 x m = 15

9 + 15 = m

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

h = 2(9) + 15

33 = 15h + 2

h = 15(9) + 2

33 = 2h + 15

Twice a number plus 6 is -72

2 + 6x =- 72

2x + 6 = -72

2 + 6 = x

2x² + 6 = 72

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

4 + 9x = 73

4x = 73

4x + 9 = 73

9x + 4 = 73

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

800 + 5x = 4000

800x + 5 = 4000

4000 + 5x= 800

800 + 5 = 4000

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

30x + 600 = 1500

30x - 600 = 1500

x + 600 = 1500

30x = 1500

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.

Which equation can you use to find the number of lollipops n in the jar?

n/6 = 4

n - 4 = 6

4n = 6

n + 6 = 4

Write an equation models the following statement:
17 less than h equals 42

17-h=42

h-17=42

h+17=42

17+h=42

10.

Karina played two softball games last week. She had a total of 9 hits. She had 4 hits in the first game. Write an equation to determine how many hits she got in the second game.

9 - 4 = h

h + 4 = 9

4h = 9

h + 9 = 4

11.

An electrician charges $90 per hour along with a $60 traveling fee. If your bill was $600, write an equation that can be used to determine how many hours (h) it took the electrician to complete the job.

60 - 90h=600

90h + 60 = 600

60h + 90 = 600

60h - 600 = 90

12.

Ms. Jacobs is a photographer . For each job she charges $135 for the first hour she works and $100 for each additional hour. Ms. Jacobs charged $535 for a job she completed. Write an equation that can be used to determine the number of hours (h) she spent on the job.

135x + 100 = 535

100x - 135 = 535

100x + 135 = 535

135x - 100 = 535

13.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

11 + 6h = 39

11h - 6 = 39

11h + 6 = 39

66h = 39

14.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

.50t + 20 = 35

.50t = 35

.50 + 20t = 35

.50t +35 = 20

15.

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

12 + 14x = 50

12x + 14 = 50

50 - 14 - 12 = x

50x + 12 = 14

16.

What operation do these terms mean?
difference
decreased by
less than

addition

subtraction

multiplication

division

17.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

18.

Translate the sentence into an equation:
Four more than six times a number is 18.

10x = 18

4x + 6 = 18

4 + 6x = 18

not enough info

19.

What do the following terms mean:
is
equal
the same as

20.

Write an equation models the following statement:
17 less than h equals 42

17-h=42

h-17=42

h+17=42

17+h=42

21.

2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?

96h = 8

h/96 = 8

8h = 96

h/8 = 96

22.

5. After dropping 5ºF, the temperature was 37ºF. Which choice models this situation?

d - 37 = 5

d + 5 = 37

d - 5 = 37

d + 37 = 5

23.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

v - 4 = 10

v + 4 = 10

10/4 = v

4v = 10

24.

Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?

9x - 4 = 176

4 - 9x = 176

9x + 4 = 176

4x + 9 = 176

25.

Find the difference means

Add

Multiply

Subtract

Divide

26.

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

250x + 2 = 1000

1000 + 2x = 250

250 - 2x = 1000

2x + 250 = 1000

27.

Last Friday Stefan had $35. Over the weekend, his parents gave him some money for washing the car and now he has $47. Write an equation to determine how much his parents paid him for washing the car.

$35-x=47$

$\frac{x}{35}=47$

$35+x=47$

$35x=47$

28.

Which choice models this situation?

Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

t + 4 = 58

t - 4 = 58

4t = 58

t/4 = 58

29.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

t - 9 = 25

t + 9 = 25

9t = 25

t/9 = 25

30.

Which choice models this situation?

Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

p - 6 = 18

p + 6 = 18

6p = 18

p/6 = 18

31.

4. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Which choice models this situation?

x/3 = 27

27x = 3

x/27 = 3

3x = 27

32.

1. Ted bought a dolphin poster for $12. He now has $5. Which choice models this situation?

m - 12 = 5

m - 5 = 12

m + 5 = 12

m + 12 = 5

33.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

34.

Paul bought 2 loaves of bread at the grocery store for $3.50 each and x boxes of pasta for $1.99. He spent $12.97. Write an equation you can use to determine the amount of boxes of pasta Paul bought.

3.50x + 1.99 = 12.97

3.50(x) + 12.97 = 1.99

12.97 = 7 + 1.99x

1.99x + 3.50 = 12.97

35.

Lori pays $24.99 per month and $0.50 per text. What equation represents Lori's monthly cost where x is the number of texts and y is the monthly cost.

y = .50x + 24.99

y = 24.99x + .50

y = 24.99x

y = .50x

36.

Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?

1/ 3 + 11 = -1

3x + 11 = -1

1/3x + 11 = -1

1/3x + 11 = 1

37.

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

x/2 + 16= 36

36 + 16 = x

x/2 - 16 = 36

x/2 = 36 + 16

38.

What operation do these terms mean?

per

each

every

product

addition

subtraction

multiplication

division

39.

What operation do these terms mean?
combined
increased by
more than

addition

subtraction

multiplication

division

40.

Mr Carrillo's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mr. Carrillo bought. Write the equation and solve for x.

-5+6x = 41, 4 meals

6x + 5 = 41, 6 meals

6x = 36 meals

5 + 6x = 41, 7 meals

41.

A wood board 100 centimeters long is cut into two pieces. One piece is 26 centimeters longer than the other. Which equation models this scenario?

2x + 26 = 100

2x - 26 = 100

x + 26 = 100

x - 26 = 100

42.

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

10.95x + 12.57 = 89.22

89.22x - 10.95 = 12.57

12.57x + 10.95 = 89.22

12.57 + 10.95 = 89.22

43.

Peter and his best friend found some money buried in a field. They split the money evenly, each getting $26. Which equation models this scenario?

x + x + 2 = 52

x/0.5 = 26

0.5x = 26

2x = 26

44.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

40x + 20 = 340

20x + 40 = 340

20x - 40 = 340

20 + 340 = 40x

45.

What could this represent? 7x + 2 = 30

Buying pet turtles for $7 each plus two cans of turtle food cost $30.

Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

Two yoyos plus seven frisbees is thirty cents.

Buying seven calculators plus $2 per bundle of pencils is $30.

46.

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

12.5x +9 = 43.73

73.43 = 12.5x + 9

12.5 - 9x = 43.73

43.73 = 12.5 + 9x

100 %

6.9AC + 7.10AC - Writing(Translating) 1/2-Step Equations

Total questions: 46

Worksheet time: 2hrs 0mins

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