Free Printable MATH 8: Unit 7 Post Test Quizizz Review

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MATH 8: Unit 7 Post Test Quizizz Review

Total questions: 45

Worksheet time: 4hrs 45mins

Name

Class

Date

7x+4y =12
x + 2y = -4

(-4,4)

(4,4)

(4,-4)

(-4,-4)

x + 2y = -4
x - 2y = 8

(2,5)

(2,-3)

(2,-2)

(-3,2)

A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and 75 children played, and the golf course earned $1,100. How much does the golf course charge for adults? (a)

Choose from the below words

$16

$10

7x - 2y = 6
x - 2y = -6

(2,4)

(3,-2)

(1,2)

(-2,-4)

x-4y = 16
5x + 4y = 8

(4,-3)

(-3,4)

(4,3)

(3,-4)

5x - 2y = 6
x - 2y = -2

(2,2)

(2,1)

(1,2)

(-2,-2)

x + y = 3
3x - y = 1

(2,1)

(-1,2)

(1,2)

(-2,-1)

x -2y = -2
3x - 2y = 6

(4,3)

(-3,4)

(-2,-3)

(-3,-4)

Estimate the solution of the linear system graphically and check the solution algebraically:

x+y=−4

y=3x+16

10.

3x - 2y = -8
5x + 2y = -8

(1,-4)

(-1,-4)

(-4,1)

(-2,1)

11.

x - 4y = -4
x + 2y = 8

(2,2)

(4,2)

(2,-2)

(4,-2)

12.

x - 2y = 4
3x +2y = 4

(-2,-1)

(4,-1)

(2,-1)

(4,1)

13.

x - 2y = 4
2x -y = -1

(-2,-3)

(-3,-2)

(2,3)

(3,2)

14.

The lines 2x−y=8 and 4x−2y=16 intersect at (a) .

Choose from the below words

2 points

1 point

an infinite number of points

There are no intersection points

15.

5x + 3y = 6
x - 3y = 12

(3,3)

(-3,-3)

(3,-3)

(3,-2)

16.

x - y = -2
y = -2

(1,-2)

(-1,-2)

(-4,-2)

(4,-2)

17.

2x - 3y = 6
7x - 3y = -9

(3,4)

(4,-3)

(-4,-3)

(-3,-4)

18.

3x + y = 4
x + 2y = -2

(2,2)

(-2,-2)

(2,-2)

(-2,2)

19.

2x + y = -3
x - 2y = -4

(-2,1)

(1,-2)

(2,1)

(1,2)

20.

Find the x-value of the solution in the following system of equations. (a)

Choose from the below words

x=-1

x=1

x=2

x=3

21.

x = - 3
2x + 3y = 6

(4,3)

(-4,3)

(-3,4)

(3,-4)

22.

x + 4y = -8
5x - 4y = -16

(4,1)

(1,4)

(-4,-1)

(-1,-4)

23.

2x - 3y = 6
7x - 3y = -9

(-3,-4)

(3,4)

(-4,-3)

(4,3)

24.

5x - 4y = =-16
x+ 2y = -6

(-4,-1)

(5,-1)

(-5,-1)

(4,1)

25.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

26.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

x + y = 1550
y = 4x

x + y = 1550
y = x + 4

y - x = 1550
y = 4x

y = 1550 + x
y = x + 4

27.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

d + n = 6.60
.10d + .05n = 80

d + n = 80
d + n = 6.60

d + n = 80
.10d + .05n = 6.60

d + n = 80
.05d + .10n = 6.60

28.

The graphs of three lines are shown on the coordinate plane.

Drag an ordered pair to the box to identify the solution to each system:

-10, 4

A system consisting of Line 1 and Line 2

0, 2

A system consisting of Line 2 and Line 3

2, 10

A system consisting of Line 1 and Line 3

29.

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

c + d = 5
5c + 10d = 16.50

30.

Solve the following system for y:

2x−15y=−10

−4x+5y=−30

2x-40

-2

31.

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

32.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

t: # of tacos
m: # of glasses of milk

t: Cost of each taco
m: Cost of each glass of milk

t: total cost
m: # of food items

t: Cost of each glass of milk
m: Cost of each taco

33.

Which of these is a solution to the system of equations 3x−y=15 and 6x−2y=30? Select all that apply.

(6, 3)

(7, 6)

(8, 9)

34.

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

35.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

y = 9.65 + x
y = 8.40 + x

y = 9.65x + 43
y = 8.40x + 58

y =9.65x
y = 8.40x

y = 9.65x - 43
y = 8.40x - 58

36.

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?

Carrots cost $1.50 a pound, which is less than potatoes cost.

Carrots cost $1.50 a pound, which is more than potatoes cost.

Carrots cost $1.75 a pound, which is less than potatoes cost.

Carrots cost $1.75 a pound, which is more than potatoes cost.

37.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

(26, 23)

(26, 29)

(29, 26)

(29, 32)

38.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

39.

What is the solution to the system of equations

2x + 3y = 40 and y = x + 10?

x = 2; y = 12

x = 4; y = 14

x = 12; y = 2

x = 14; y = 4

40.

What is the solution?
(Hint: Both lines are graphed over each other)

One Solution

No solution

Infinitely Many Solutions

41.

What is the solution?

No solution

(0, 2)

(0, -4)

(3, -3)

42.

What is the solution to the system of linear equations graphed below?

x = −2; y = 1

x = 4; y = -2

There are no solutions

There are an infinite number of solutions

43.

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

44.

If a system of equations has infinitely many solutions, what does the graph look like?

intersecting lines

the same line

skew lines

parallel lines

45.

$16

$10

100 %

MATH 8: Unit 7 Post Test Quizizz Review

Total questions: 45

Worksheet time: 4hrs 45mins

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