Free Printable 4.8 Writing Systems

Worksheets

4.8 Writing Systems

Total questions: 15

Worksheet time: 2hrs 59mins

Name

Class

Date

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

4x + 6y = 3

13.5x - 13y = 6

x + y = 4

x - y = 6

4x + 6y = 13

3x + 7y = 13.5

4x - 6y = 13

3x - 7y = 13.5

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

5q + 2z = 1.32
1z = 0.75

5q + 2z = 1.32
3q + 1z = 0.75

q + z = 1.32
q + z = 0.75

5q + 2z = 0.75
3q + 1z = 1.32

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

t + n = 54

t = 3n + 8

t + n = 54

n = 3t + 8

t + n = 54

t = 3n - 8

t + n = 8

t = 3n + 54

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold?

x + y = 265
1.25x+2.5y=155

x + y = 155
2.5x+1.25y=265

x + y = 265
2.5x+1.25y=155

x + y = 155
1.25x+2.5y=265

Match a sentence with this equation:
$2B\ +\ 3F\ =\ 22.50$

Joe bought 2 burgers and 3 fries for $22.50

Mary bought 3 burgers and 2 fries for 22.50

Norman ate 2 burgers and gave away 3 fries in 22.50 minutes

Ivy bought 2 burgers and 3 fries for 2.20

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

^{What is the solution?}

-2

(1, 2)

(1, -1)

10.

A ________________ is a set of two or more equations that have the same variables.

solution of a system

elimination method

system of equations

table

11.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

y = 6.80 + .65x
y=7.30+.90x

x + y = 6.80
x + y = 7.30

y = 6.80+.90x
y = 7.30 + .65x

y + .90x = 6.80
y + .65x = 7.30

12.

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

x - y = -10
x + y = -2

x = -2
y = 5

x + y = -2
x - y = -10

x + y = -10
x - y = -2

13.

Five less than twice a number is equivalent to 47.

5 - 2x = 47

2x - 5 = 47

5x - 2 = 47

2 - 5x = 47

14.

10 less that half a number is equivalent to 8.

10 - 1⁄2x = 8

1⁄2x + 10 = 8

1⁄2x - 10 = 8

10x - 0.5 = 8

15.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

10c + 5d = 14.25

5c + 10d = 16.50

10c + 5d = 16.50

5c + 10d = 14.25

c + d = 10

5c + 10d = 16.50

Reset

4.8 Writing Systems

Total questions: 15

Worksheet time: 2hrs 59mins

Similar Resources on Wayground