Free Printable Unit 8 Review

Worksheets

Unit 8 Review

Total questions: 45

Worksheet time: 11hrs 15mins

Name

Class

Date

(2, -2)

(2, 2)

(-2, 2)

(-2, -2)

What is the solution?

No solution

(0, 2)

(0, -4)

(3, -3)

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

intersecting lines

parallel lines

same lines

Parallel Lines never intersect because...

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
y < 2

y < 2x - 4
y < -2

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

(0, 0)

(2, 1)

(2, 2)

(-1, 1)

Select the correct graph for each inequality.

Is (0,0) a solution to the system?

Solution

Not a solution

10.

Is (-2,4) a solution to the system?

Solution

Not a solution

11.

Which point is a solution?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

12.

Select the correct graph for each inequality.

13.

Match the system to the graph (solution set is on the left)

y ≤ 3x and y ≤ -2x + 4

y > 3x and y > -2x + 4

y < 3x and y > -2x + 3

y > 3x and y < -2x + 4

14.

What is the solution to the system of equations?

(-3, 1)

(1, -3)

(3, -1)

(-1, 3)

15.

What is the solution to the system of equations?

No Solution

Infinitely Many Solutions

(7, -2)

(-5, -5)

16.

What is the solution to the systems of equations?

(-7, -9)

(-10, 5)

No Solution

Infinitely Many Solutions

17.

If a system of equations has ONE solution the equations will NEVER have...

(select all that apply)

same slopes

different slopes

same y-intercept

different y-intercept

18.

If a system of equations has INFINITE solution the equations will have...

(select all that apply)

same slopes

different slopes

same y-intercept

different y-intercept

19.

If a system of equations has NO solution the equations will have...

(select all that apply)

same slopes

different slopes

same y-intercept

different y-intercept

20.

Select what characteristics this inequality would have if you were to graph it

$y<\ 2x\ +\ 5$

open/dashed line

solid line

shade up

shade down

21.

Select what characteristics this inequality would have if you were to graph it

$2x\ -\ 4y\ \ge\ 8$

open/dashed line

solid line

shade up

shade down

22.

Before you can say what the slope or

y-intercept is for an equation or inequality you MUST

SOLVE FOR Y (if it is not already by itself)

Who knows.....

23.

Select what characteristics this inequality would have if you were to graph it

$\ -2y\ <4x\ +\ 8$

open/dashed line

solid line

shade up

shade down

24.

Before you can say which way to shade for an inequality you MUST

SOLVE FOR Y (if it is not already by itself)

who cares I have a 50% chance of guessing correctly...

25.

Which of the following are solutions to the system?

(Select all that apply)

(-4,1)

(-4,-4)

(-4,4)

(-6,3)

26.

Solve the system of inequalities by graphing.

27.

When you graph an inequality, you used a solid line when you use which symbols?

≤, ≥

<, >

28.

When graphing an inequality, you use a dotted line when you use which symbol?

<, >

≤, ≥

29.

Tearsizah needs to save at least $200 for homecoming. She works 2 jobs earning $9/hour at PJ's and $25/hour mowing lawns. She only has time to work 16 hours or less before homecoming.

x + y ≥ 25

x + y ≤ 9

100x + 25 y ≤ 200

2x + 9y ≤ 16

x + y ≥ 200

9x + 25y ≤ 16

9x + 25y ≥ 200

x + y ≤ 16

30.

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?

31.

Connor 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,d, and nickels,n?

d + n = 6.60

0.10d + 0.05n = 80

d + n = 80

d + n = 6.60

d + n = 80

0.10d + 0.05n = 6.60

d + n = 80

0.05d + 0.10n = 6.60

32.

Which system of inequalities is shown?

y ≥ -x - 1
y < x + 4

y < -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 4

y > -x - 1
y ≥ x + 3

33.

Select the correct graph for each inequality.

34.

Write an inequality represented by the graph.

x < - 3

y < - 3

x > - 3

x ≥ - 3

35.

What is the boundary line (symbol) of the graph?

less than

less than or equal to

greater than

greater than or equal to

36.

Which system of linear inequalities is represented by the graph?

y≤2x-1
y>-2x+3

y>2x-1
y≤-2x+3

y<2x-1
y≥-2x+3

y≤2x-1
y>2x+3

37.

Which system of inequalities matches the graph?

x> -2
y < -4

x< 2
y> 4

x > 2
y < 4

x > 2
y <- 4

38.

When you graph the exact same equation twice,

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

39.

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

Let x represent the number of horses and y represent the number of chickens.

x + y = 15

4x + 2y = 44

4x + 2y = 15

x + y = 44

x = 2y + 44

4x = y + 15

2x - 4y = 44

x - y = 15

40.

Hannah won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Hannah have? Which system best represents the situation?

Let x represent the number of 20 dollar bills and y represent the number of 50 dollar bills

x + y = 1430

20x + 50y = 49

x + y = 49

10x + 5y = 1430

x + y = 49

20x + 50y = 1430

x + y = 49

x + y = 1430

41.

Solve for y:
2x + 2y = 6

y = - x + 3

y = x + 3

y = 2x +6

y = - 2x + 6

42.

Solve for y:

4x + 3y = 9

$y\ =\ -\frac{3}{4}x\ +\ 3$

$y=-4x+9$

$y=-\frac{4}{3}x+3$

$3y=-4x+9$

43.

Solve for y:
5x + y = -10

y = 5x + 10

y = -5x - 10

y = 2

y = -5

44.

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken, c, for $14 and the rest order steak,s, for $17. The total bill is $99. Write a system that could represent this situation.

c + s = 6

14c + 17s = 99

c + s = 99

14c + 17s = 6

c + s = 6

17c + 14s = 99

c + s = 99

17c + 14s = 6

45.

A large pizza at Brooklyn Pizza 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 represents the situation.

Let y represent the total cost and x represent the number of toppings

y = 0.65x + 6.80

y=0.90x + 7.30

x + y = 6.80

x + y = 7.30

y = 0.90x + 6.80

y = 0.65x + 7.30

x + y = 6.80

0.90x + 0.65y = 7.30

Reset

Unit 8 Review

Total questions: 45

Worksheet time: 11hrs 15mins

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