Free Printable s of Equations and InequalitiesSystem

1.

What is the solution for x given the graph to the systems of equations

(a)

2.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

3.

What is the solution for y based on the system:

(a)

4.

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(a)

5.

Find the answer to the systems using substitution: List the solution as a coordinate (x,y):

(a)

6.

Solve the given systems of equations using elimination: Write you answer as a coordinate (x,y).

(a)

7.

Find the answer to the systems using elimination: List the answer as a coordinate (x,y):

(a)

8.

Solve the systems with any method you choose: Check all that apply:

a)

x= -5/2

b)

y=-5/2

c)

No Solutions

d)

Infinitely Many Solutions

e)

x=0

9.

Solve the systems with any method you choose: Check all that apply:

a)

x= -5/2

b)

y=-5/2

c)

No Solutions

d)

Infinitely Many Solutions

e)

x=0

10.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

11.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

12.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

13.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

14.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

15.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

16.

What is the point of intersection for the problem at the left, if any?

a)

(1,-4)

b)

(-1,-4)

c)

(-4,1)

d)

(-4,-1)

17.

What is the point of intersection for the problem at the left, if any?

a)

(1,-1)

b)

(-1,-1)

c)

(1,1)

d)

(-1,1)

18.

What is the point of intersection for the problem at the left, if any?

a)

(-3,0)

b)

(0,3)

c)

(3,0)

d)

(0,-3)

19.

Choose the graph or graphs that have one solution. Check the box or boxes that apply.

a)

b)

c)

d)

20.

Choose the graph or graphs that have INFINITE SOLUTIONS. Check the box or boxes that apply.

a)

b)

c)

d)

21.

Check to see if (-2,1) is a solution to the following system:
x+2y=0
4x+3y=1

a)

yes

b)

no

22.

An inequality using a > or a < has a ___________ line

a)

invisible

b)

solid

c)

dashed

23.

A system of equations that looks like this has ....

a)

infinite solutions

b)

no solution

c)

one solution

24.

Is (3,-4) a solution to this system?

a)

yes

b)

no

25.

Pick the ordered pair that is NOT a solution

a)

(0,0)

b)

(1,-1)

c)

(2,0)

d)

(4,-4)

26.

Solve the following system of equations:
2x+3y=17
y=4x+1

a)

(-1,-3)

b)

(1,5)

c)

(1,3)

d)

(2,4)

27.

Solve using any method:
2x+3y=10
-2x+y=14

a)

(6,-4)

b)

(-4,6)

c)

(4,6)

d)

(6,4)

28.

Solve using any method:
3x-7y=10
12x+14y=16

a)

(2,-.57)

b)

(2,-.75)

c)

(.57,-2)

d)

(.75,-2)

29.

When you come across a solution that reads 3=4, your answer would be.....

a)

no solution

b)

all real numbers

c)

3 pizzas = 4 hungry hungry hippos

d)

one solution

30.

When you come across a solution that reads 4=4, your answer is...

a)

no solution

b)

all real numbers

c)

4

31.

The sum of 2 numbers is 33. The smaller number is 8 less than 7 times lager number.
Let x= the smaller number and y=the larger number.
Pick which system of equations follows this problem.

a)

x=8-7y
x+y=33

b)

x=7y-8
x+y=33

c)

7x+8y=33
x+y=n

d)

2+x=33
x=8y-7

32.

Pick the following inequality that relates to this graph:

a)

y<-2x+2

b)

y≤-2x+2

c)

y>-2x+2

d)

y≥-2x+2

33.

You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?

a)

n+d=17
.05n+.10d=1.35

b)

.05n+.10d=17
n+d=1.35

c)

.25n+.10d=1.35
n+d=17

34.

For the inequality:
y>3x-5
Would you shade (0,0) or shade the other side?

a)

shade (0,0)--it is a solution

b)

Shade the other side--(0,0) is not a solution

35.

Is (3,2) a solution to
3x-4y=1
x-y=0

a)

yes

b)

no

36.

Go see your teacher to graph a given inequality!
(Click yes when you have finished this task)

a)

yes

b)

no, I do not follow directions

37.

An inequality using a ≤ or ≥ is graphed using a

a)

solid line

b)

dashed line

c)

invisible line

d)

no line!

38.

A point that is on a dashed line is.....

a)

a solution

b)

not a solution

39.

Solve the following system:
A farmer is in his field and knows he has 13 animals. His animals are made up of chickens and cows. The farmer can see that he has 34 legs in all but needs to know how many of each animal he has.

a)

4 cows, 9 chickens

b)

4 cows, 2 chickens

c)

9 cows, 4 chickens

d)

9 cows, 2 chickens

40.

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

a)

6,5

b)

5,6

c)

4,4

d)

2,4

41.

What is the solution to the system?

a)

(-1, 4)

b)

(3, 0)

c)

(4, 1)

d)

(0, -1)

42.

Write an inequality for the given graph.

a)

y < 3x + 1

b)

y > -3x - 1

c)

y ≤ -3x + 1

d)

y < -3x + 1

43.

Graph the system.

a)

b)

c)

d)

44.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

45.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

46.

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?

a)

y = 9.65 + x
y = 8.40 + x

b)

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

c)

y =9.65x
y = 8.40x

d)

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

47.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-3, 1)

c)

(0,6)

d)

(4, 3)

48.

Pick the ordered pair that is NOT a solution

a)

(0,0)

b)

(1,-1)

c)

(2,0)

d)

(4,-4)

49.

An inequality using a ≤ or ≥ is graphed using a

a)

solid line

b)

dashed line

c)

invisible line

d)

no line!

50.

This system of linear equations is graphed as shown.

$3x+y=2$

$x+3y=-18$

What is the solution to this system of equations?

a)

$\left(2,-6\right)$

b)

$\left(3,-7\right)$

c)

$\left(-6,2\right)$

d)

$\left(-7,3\right)$

51.

a)

A

b)

B

c)

C

d)

D

52.

Solve the following equations for x and y:
-6x+6y=6
6x-3y=12

a)

(6, 5)

b)

(5, 6)

c)

(4, 4)

d)

(2, 4)

53.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

54.

What is the solution to the system?

a)

(6, 8)

b)

(8, 6)

c)

(-6, 8)

d)

No solution

55.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

56.

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

a)

intersecting lines

b)

parallel lines

c)

same lines

57.

Solve by elimination
5x+6y= -10
3x-2y= -6

a)

(-2,0)

b)

(0,-2)

c)

(2,0)

d)

(0,2)

58.

What is the solution to this system?
x - y = 6
y= 2x - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

59.

Solve:
y = 7x + 9
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

60.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

61.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

62.

Solve by elimination
-2x+6y= 16
-4x-3y= 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

63.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

64.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

65.

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

a)

x + y = 561
45x+52y=12

b)

x + y = 12
52x+45y=561

c)

x + y = 12
45x+52y=561

d)

x + y = 561
52x+45y=12

66.

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

a)

5q + 2z = 1.32
1z = 0.75

b)

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

c)

q + z = 1.32
q + z = 0.75

d)

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

67.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

68.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

69.

Solve the system of equations by substitution.
y = 8x + 12
-5x +4y = 21

a)

(1, -4)

b)

(1, 20)

c)

(-1, 20)

d)

(-1, 4)

70.

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

a)

YES

b)

NO

71.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

72.

What is the solution to this system?
x= 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

73.

A system of equations is shown below.
3y = 2x + 4
x = 2y − 5
What is the solution to the system of equations?

a)

(-1, -2)

b)

(2,1)

c)

(-2,1)

d)

(-1.2)

74.

What is the solution to a system of EQUATIONS?

a)

Intersection

b)

Overlapping Region

75.

What is the solution to a system of Inequalities?

a)

Intersection

b)

Overlapping Region

76.

What is the slope based on the inequality?

y\le\frac{3}{4}x+3

a)

3

b)

$\frac{3}{4}$

c)

$\frac{3}{4}x$

d)

-3

77.

What is the y-intercept based on the inequality?

y\le\frac{3}{4}x+3

a)

3

b)

$\frac{3}{4}$

c)

$\frac{3}{4}x$

d)

-3

78.

Select the ALL symbols you use a dashed (dotted) line for:

a)

<

b)

>

c)

$\le$

d)

$\ge$

e)

=

79.

Select the ALL symbols you use a solid line for:

a)

<

b)

>

c)

$\le$

d)

$\ge$

e)

=

80.

What is the solution to the system in the previous image? (x,y)

a)

(-2, 0)

b)

(0, -2)

c)

(0,2)

d)

(2,0)

81.

Check in: How are you feeling so far?

a)

Rocking it!

b)

Doing well

c)

I need some help

d)

I'm very lost

82.

When both EQUATIONS have the same slope, does the system have a solution?

a)

Yes! Infinite solutions!

b)

No!! No solution!!

83.

Which side do you shade when graphing an inequality?

a)

The side that makes the inequality true!

b)

The side that makes the inequality false

84.

Pick the correct graph based on the system of Equations:

y=3x-4

y=-\frac{1}{2}x+3

a)

b)

c)

d)

85.

Pick the correct graph based on the system of Equations:

y=-2x+2

y=-2x-2

a)

b)

c)

d)

86.

Pick the correct graph based on the system of Equations:

y=-\frac{1}{2}x-1

y=\frac{1}{4}x-4

a)

b)

c)

d)

87.

Pick the correct graph for the system of inequalities:

y\ge-\frac{3}{2}x-1

y\le-\frac{1}{2}x+1

a)

b)

c)

88.

Pick the correct graph for the system of inequalities:

y\ge\frac{2}{3}x+3

y>-\frac{4}{3}x-3

a)

b)

c)

89.

Which points satisfy the system of inequalities?

a)

A

b)

B

c)

C

d)

D

e)

E

90.

The following system will have how many solutions?

y=2x+1

y=4x+1

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

d)

Cannot tell without graphing

91.

Which system of linear equations has no solution?

a)

b)

c)

92.

Which system of equations has one solution?

a)

b)

c)

93.

A system of equations with infinitely many solutions will have lines that...

a)

are the same

b)

are parallel and never touch

c)

cross in one place

94.

What is the solution to the following system of equations?

a)

(0,3)

b)

(-3, 1)

c)

(1, 3)

d)

Infinitely Many Solutions

e)

No Solution

95.

What is the solutions to the following system of equations?

a)

(5,2)

b)

(2, 5)

c)

(0,3)

d)

Infinity Many Solutions

e)

No Solutions

96.

What is the solutions to the following system of equations?

a)

(0,3)

b)

(0,0)

c)

(-3,0)

d)

Infinity Many Solutions

e)

No Solution

97.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

98.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

99.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

100.

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

101.

Solve the system by substitution.

y = -6x + 5

-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

102.

Solve the system by substitution.

6x + y = -1

y = -3x - 4

a)

(3, 1)

b)

(1, 7)

c)

(-3, 1)

d)

(1, -7)

103.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

104.

Solve by elimination:

3x+7y=23

-3x-7y=-17

a)

No solution

b)

(0, 3)

c)

(-3,3)

d)

(3,3)

105.

Solve by elimination

4x-6y= -6

-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(0, 2)

106.

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

a)

(-3, -2)

b)

(1.5, 2)

c)

(3, 0)

d)

(3, 2)

107.

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

a)

Solution

b)

Not a solution

108.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

109.

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

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

110.

The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound.
Which system of inequalities models this situation?

a)

x + y $\le$ 50
2x + 3y $>$ 300

b)

x + y $\ge$ 50
3x + 2y $\le$ 300

c)

x + y $<$ 300
2x + 50 $\ge$ 300

d)

x - y $\le300$
3x + 2y $\le$ 50

111.

A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280.

Let x = the number of $10 tickets

Let y = the number of $20 tickets

Which system of inequalities models the situation?

a)

x + y $\ge$ 20
10x + 20y $\le$ 280

b)

x - y $\ge$ 20
20x + 10y $\le$ 280

c)

x + y $\ge$ 280
10x + 20y $\le$ 20

d)

x + y $<$ 20
10x + 20y $>$ 280

112.

Joe bought 2 pairs of jeans and 1 shirt for $120. Sam bought 1 pair of jeans and 3 shirts for $135. What are the two unknowns in this problem?

a)

the number of pair of jeans and shirts

b)

the price of a shirt and a pair of jeans

c)

the total price Sam and Joe paid

d)

the total number of shirts and jeans that Sam and Joe brought

113.

You are hosting family and friends for dinner. There will be at least 8 people attending. You will prepare some vegetarian dinner that cost $5 and a meat-based dinner that costs $6. You hope to spend no more than $70.

Let x = number of vegetarian dinners

Let y = number of meat-based dinners

Which system that could represent this situation?

a)

x + y $\le$ 70
5x + 6y $\le$ 70

b)

5x + 6y $\le$ 10
x + y $\ge$ 70

c)

x - y $\ge$ 7
x + y $\le$ 6

d)

x + y $\ge$ 8
5x + 6y $\le$ 70

114.

You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?

a)

n+d=17
.05n+.10d=1.35

b)

.05n+.10d=17
n+d=1.35

c)

.25n+.10d=1.35
n+d=17

115.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

a)

x+y=134
x+y=120

b)

3x+3y=134
4x+3y=120

c)

4x+3y=134
3x+3y=120

d)

7xy=134
6xy=120

116.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

117.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

a)

T + F = 1430
20T + 50F = 49

b)

T+ F = 49
10T + 5F = 1430

c)

T + F = 49
20T + 50F = 1430

d)

T + F = 49
T + F = 1430

118.

At a restaurant, the cost for 2 burritos and 1 tortilla salad is $20.57. The cost for 3 burritos and 3 tortilla salads is $36.24. Which pair of equations can be used to determine b, the cost of a burrito, and t, the cost of a tortilla salad?

a)

b + t = 20.57

3b + 3t = 36.24

b)

2b + t = 20.57

3b + 3t = 36.24

c)

2b + t = 20.57

b + t = 36.24

d)

b + 2t = 20.57

b + t = 36.24

119.

Westlake Catalog sells mavericks jerseys for $39 and Rangers hats for $18. Megan orders "j" jerseys and "h" hats. The total numbers of items ordered is 25, and the total cost is $702. Which system of equations represent this situation?

a)

j = 39

h = 18

b)

j + h = 25

j + h = 702

c)

j + h = 25

39j + 18h = 702

d)

j + h = 702

39j + 18h = 25

120.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

121.

Solve the system of equations.

a)

(11, 21)

b)

(3, 11)

c)

(11, -67)

d)

No solution

e)

Infinite solutions

122.

Solve the system of equations.

a)

(-23, 4)

b)

(-4, -3)

c)

(-2, -4)

d)

No solution

e)

Infinite solutions

123.

Solve the system of equations.

a)

(-7, 8)

b)

(-7, -6)

c)

(8, -7)

d)

No solution

e)

Infinite solutions

124.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

125.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

126.

Solve the system of equations.

a)

(-34, -17)

b)

(8, 4)

c)

(10, 20)

d)

No solution

e)

Infinite solutions

127.

Solve the system of equations.

a)

(3, 33)

b)

(7, 77)

c)

(2, 22)

d)

No solution

e)

Infinite solutions

128.

Which graph represents a system of equations with infinite solutions?

a)

b)

c)

d)

None of the above

129.

Which graph represents a system of equations with no solution?

a)

b)

c)

d)

None of the above

130.

When solving a system of equations algebraically, which statement results in infinite solutions?

a)

4 = 7

b)

2 = 2

c)

-3 = 3

d)

all of the above

131.

When solving a system of equations algebraically, which statement results in no solution?

a)

4 = 7

b)

-2 = 2

c)

-3 = 3

d)

all of the above

132.

Solve the system of equations.

a)

(3, -24)

b)

(0, 4)

c)

(-24, 3)

d)

No solution

e)

Infinite solutions

133.

Solve the system of equations.

a)

(-6, 1)

b)

(-12, -12)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

134.

An inequality using a > or a < has a ___________ line

a)

invisible

b)

solid

c)

dashed

135.

Is (3,-4) a solution to this system?

a)

yes

b)

no

136.

Pick the ordered pair that is NOT a solution

a)

(0,0)

b)

(1,-1)

c)

(2,0)

d)

(4,-4)

137.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

138.

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

a)

y ≤ 3x and y ≤ -2x + 4

b)

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

c)

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

d)

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

139.

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

a)

y ≤ 3x and y ≤ -2x + 4

b)

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

c)

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

d)

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

140.

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

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

141.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

142.

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

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

143.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

144.

Given: y < 4x + 3

Would you draw a solid or dashed line?

a)

Solid

b)

Dashed

145.

Given: y < 4x + 3

Would shade above or below the line?

a)

Above

b)

Below

146.

Which system of inequality is shown?

a)

y > -1/5x - 1/2
y ≥ -2x - 4

b)

y > -1/5x - 1/2
y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2
y ≤ -2x - 4

d)

y < -1/5x - 1/2
y ≥ -2x - 4

147.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

148.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

149.

Which point is in the overlap (solution) of the shaded region?

a)

(5,0)

b)

(-1,8)

c)

(1,15)

d)

(10,5)

150.

Pick ALL correct answers.

Which are solutions to the system?

a)

(-5,4)

b)

(-5,-2)

c)

(0,10)

d)

(5,10)

e)

(0,-5)

151.

The graph shows which system?

a)

y>\frac{2}{3}x+1

y\le-5x+10

b)

$y<\frac{2}{3}x+1$
$y\ge-5x+10$

c)

$y<\frac{2}{3}x+1$
$y\le-5x+10$

d)

$y>\frac{2}{3}x+1$
$y\ge-5x+10$

152.

Which system is graphed?

a)

y>-\frac{1}{4}x-3

y>2x+6

b)

$y>\frac{1}{4}x-3$
$y\le-2x+6$

c)

$y\le-2x+6$
$y<-\frac{1}{4}x-3$

d)

$y\le-2x+6$
$y>-\frac{1}{4}x-3$

153.

How well do you understand graphing systems of linear inequalities?

a)

I understand completely and could explain it to someone.

b)

I understand it

c)

I need more practice

d)

Help, I'm lost

154.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

155.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

156.

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

a)

(-4, 2)

b)

(-10, 7)

c)

(-3, 0)

d)

(-2, 6)

157.

Solve the system of inequalities by graphing. $8x\ +4y\ge10\ and\ 3x-6y>12$

a)

b)

c)

d)

158.

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

a)

b)

c)

159.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

160.

Given the graph, determine which is NOT a solution.

a)

(0, 0)

b)

(2, -1)

c)

(-2, -2)

d)

(-5, 1)

161.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

s of Equations and InequalitiesSystem

Total questions: 161

Worksheet time: 14hrs 36mins

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