Free Printable A1-CHAPTER 5 TEST (2022-2023)

1.

Is (4, 5) a solution to the system of equations?
4x+y=21
-3x-6y=10

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

2.

Is (-2,7) a solution to the system of equations?
y=4x+15
-3x+5y=41

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

3.

Is (0, 16) a solution to the system of equations?
-3x=4y+2
2y=4x+32

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

4.

Is (5, 6) a solution to the system of equations?
x+2y=16
-3x-5y=-33

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

5.

Is (1, -8) a solution to the system of equations?
4x+y=-4
3x=-2y-13

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

6.

Is (9, 9) a solution to the system of equations?
x+y=18
x-y=0

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

7.

Is (5, -5) a solution to the system of equations?
4x-4y=40
2x+2y=20

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

8.

Is (12, 14) a solution to the system of equations?
5x-y=74
3x+y=50

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

9.

Is (-8, 3) a solution to the system of equations?
2y-5x=-31
y+4=5x

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

10.

Is (7, 0) a solution to the system of equations?
8x+9y=56
-3x+6y=-21

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

11.

Is (5, 4) a solution to the system of equations?
x+2y=13
8y=4x+13

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

12.

Is (-3, 10) a solution to the system of equations?
2x+4y=34
-5x-y=5

a)

Yes, it is a solution to the system of equations

b)

No, it fails to satisfy both equations

13.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

14.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

15.

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

a)

YES

b)

NO

16.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

17.

Is the points (-4, 4) a solution to the system of equations?

a)

Yes

b)

No

18.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

Solve:
y = -1x - 5
4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

30.

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

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

31.

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)

32.

Solve:
x = -3y - 17
2x + 3y = -7

a)

(1, -20)

b)

(3, 0)

c)

(-5, -2)

d)

(10 , -9)

33.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

34.

Solve:
y = 4x - 10
y = 3x - 5

a)

(7 , -15)

b)

(1, -5)

c)

(5 , 10)

d)

(1, 2)

35.

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

36.

What is the solution to this system?
y = x + 5
4x + y = 20

a)

(3,8)

b)

(8,3)

c)

(0,2)

d)

(2,0)

37.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

38.

What is the solution to this system?
y = 4x + 1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

(-1,5)

39.

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

40.

What is the solution to the system?
2x - 2y = 2
y = -5x + 14

a)

(4, 5)

b)

(2.5, 1.5)

c)

(1.5, 5)

d)

(1, 2.25)

41.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

42.

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

43.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

44.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

45.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

46.

The first step in solving using the substitution method is __________.

a)

get x by itself

b)

get y by itself

c)

get either variable by itself

d)

add the equations together

47.

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

48.

What is the solution to this system?
y = x + 5
4x + y = 20

a)

(3,8)

b)

(8,3)

c)

(0,2)

d)

(2,0)

49.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

50.

Solve the system by elimination.

−8x − 10y = 20
−8x − 6y = −4

a)

Infinite number of solutions

b)

(6, 5)

c)

(−6, −5)

d)

(5, −6)

51.

Solve the system of Equation (x,y)
3x + 2y = –13
3x + 4y = 1

a)

(-9,7)

b)

(7,-9)

c)

(4,-7)

d)

(-7,-4)

52.

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

a)

(6,-9)

b)

(-9,6)

c)

No solution

d)

Infinite number of solutions

53.

Solve by elimination:
4x + 4y = 4
3x + 4y =10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

54.

Solve the system of equations
4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

55.

Solve for x and solve for y
3x - 3y = 33
6x - 3y = 57

a)

(8,-3)

b)

(-3,8)

c)

(10,1)

d)

(10,-1)

56.

Solve by elimination
4x-6y= -6
-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

57.

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

a)

(5, 1)

b)

(1, 5)

c)

(5, -1)

58.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

59.

Solve the system by elimination.

−8x − 10y = 20
−8x − 6y = −4

a)

Infinite number of solutions

b)

(6, 5)

c)

(−6, −5)

d)

(5, −6)

60.

3x-2y=12

2x+2y=-2

What variable will eliminate in the system?

a)

x

b)

y

c)

both

d)

neither

61.

$3x+y=-15$
$-3x-4y=30$
Which variable will eliminate in the system?

a)

x

b)

y

c)

both

d)

neither

62.

$7x+5y=-12$
$10x+5y=5$
What does the second equation need to be multiplied by to get the y's to eliminate?

a)

5

b)

0

c)

-1

d)

2

63.

$-8x+y=20$
$4x-3y=5$
What does the second equation need multiplied by so that the x's will eliminate?

a)

2

b)

-1

c)

4

d)

0

64.

What would be the equation for the next step in solving the system? (combine the equations)
$2x-y=-15$
$-2x-4y=30$

a)

$-3y=-45$

b)

$-5y=-45$

c)

$3y=15$

d)

$-5y=15$

65.

What is the equation for the next step in solving the system?
$5x-4y=-16$
$5x+4y=-14$

a)

$10x=-30$

b)

$5x=-30$

c)

$10x=-2$

d)

$x=-30$

66.

Solve for y:

$-6x+5y=1$
$6x+4y=-10$

a)

$y=1$

b)

$y=-9$

c)

$y=-1$

d)

$y=9$

67.

Solve the system by elimination:
$x+y=6$
$6x-y=1$

a)

(3, 3)

b)

(1, 5)

c)

(1, 3)

d)

(7, -1)

68.

Solve the system by elimination:
$2x+8y=-24$
$-2x-3y=14$

a)

(-4, -2)

b)

(2, 5)

c)

(10, 2)

d)

(-8, -1)

69.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

70.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

71.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

72.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

73.

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

74.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

75.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

76.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

77.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

78.

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

79.

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

80.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

81.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

82.

Solve:
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

83.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

84.

Which of the following is not a method to solve systems?

a)

Elimination

b)

Difference of Squares

c)

Substitution

d)

Graphing

85.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

86.

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

87.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

88.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

89.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

90.

x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

91.

This system has _____ solutions

a)

no

b)

1

c)

2

d)

Infinitely many

92.

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

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

93.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

94.

What is the solution to the system of equations below?

2x+y=7

3x+2y=16

a)

(2,5)

b)

(2,11)

c)

(-2,-11)

d)

(-2,11)

95.

What are the solutions to the system of equations below?

7x-5y=38

2x+10y=-12

a)

x = 4 and y = -2

b)

x = 4 and y = 2

c)

x = -4 and y = 2

d)

x = -4 and y = -2

96.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

97.

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

98.

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

99.

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6

a)

(-9,-5)

b)

(-5,9)

c)

(9,5)

d)

(-5,-9)

100.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

101.

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

102.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

103.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

104.

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

a)

Graphing

b)

Substitution because a variable is isolated.

c)

Elimination because both equations are in standard form.

105.

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

106.

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?

a)

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

b)

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

c)

s + c = 38
s + c = 52

d)

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

107.

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?

a)

x + y = 1550

y = 4x

b)

x + y = 1550

y = x + 4

c)

y - x = 1550

y = 4x

d)

y = 1550 + x

y = x + 4

108.

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?

a)

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

b)

d + n = 80
d + n = 6.60

c)

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

d)

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

109.

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?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

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

d)

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

110.

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?

a)

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

b)

x + y = 6.80
x + y = 7.30

c)

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

d)

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

111.

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?

a)

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

b)

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

c)

t: total cost
m: # of food items

d)

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

112.

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?

a)

t + n = 54
t = 3n + 8

b)

t + n = 54
n = 3t + 8

c)

t + n = 54
t = 3n - 8

d)

t + n = 8
t = 3n + 54

113.

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

114.

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

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

115.

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?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

116.

Which of the following is not a method for solving systems of equations

a)

Elimination

b)

Substitution

c)

Estimation

d)

Graphing

117.

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

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

118.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

119.

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

120.

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

a)

intersecting lines

b)

the same line

c)

skew lines

d)

parallel lines

121.

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

a)

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

b)

x = -2
y = 5

c)

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

d)

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

122.

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

a)

a = 7

b = 10

b)

a = 8

b = 5

c)

a = 10

b = 13

d)

a = 6.5

b = 2

123.

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

a)

31 and 31

b)

54 and 7

c)

27 and 34

d)

21 and 40

124.

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

a)

10 adults, 11 children

b)

12 adults, 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

125.

Chase 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, Chase made a total of $78.50 and sold a total of 87 nachos and sodas combined. How much of each item did he sell?

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

126.

The senior class at Franklinton High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Louisburg High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

a)

Van: 43

Bus: 14

b)

Van: 11

Bus: 21

c)

Van: 14

Bus: 43

d)

Van: 17

Bus: 45

127.

On the first night, Raleigh Grande sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

a)

Adult $13

Child $5

b)

Adult $10

Child $6

c)

Adult $8

Child $16

d)

Adult $12

Child $13

128.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

a)

20 Multiple Choice

b)

10 Multiple Choice

c)

15 Multiple Choice

d)

5 Multiple Choice

129.

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

a)

8 large, 2 small

b)

6 large, 4 small

c)

4 large, 2 small

d)

2 large, 2 small

130.

Preston has coins consisting of nickels and dimes with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does he have?

a)

20 nickels

3 dimes

b)

20 nickels

39 dimes

c)

13 nickels

10 dimes

d)

12 nickels

10 dimes

131.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

132.

Select the solution of the inequality

a)

b)

c)

d)

133.

Which ordered pair IS a solution of the inequality shown in the graph?

a)

(1, 0)

b)

(2, -2)

c)

(-1, -1)

d)

(-1, 3)

134.

Choose the correct inequality for this graph.

a)

$y>2x-3$

b)

$y\ge2x-3$

c)

$y<2x-3$

d)

$y\le2x-3$

135.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

136.

Justin charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130.

Write an inequality that describes the situation.

Let x be the number of small lawns mowed and

y, the number of large lawns mowed.

a)

11x + 26y ≥ 130

b)

11x + 26y > 130

c)

11x + 26y ≤ 130

d)

11x + 26y < 130

137.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

138.

Which of the following is true of the given graph?

y ≥ -2x + 1

a)

The graph is a dotted line, shaded above.

b)

The graph is a solid line, shaded above.

c)

The graph is a dotted line, shaded below.

d)

The graph is a solid line, shaded below.

139.

Check the boxes of solutions to the linear inequality:

y>2x+1

a)

$\left(-7,\ 8\right)$

b)

$\left(0,\ 4\right)$

c)

$\left(5,\ -2\right)$

d)

$\left(7,\ 5\right)$

140.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

141.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

142.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

143.

Which graph represents the inequality, $y\ \le\frac{7}{3}x-2$ ?

a)

A

b)

B

c)

C

d)

D

144.

How can you tell if an inequality will have a dotted line?

a)

It has an equal sign.

b)

The symbol has "or equal to".

c)

The symbol is greater than or less than.

d)

You just guess.

145.

If the inequality symbol is ≤ or ≥, the line will be ___________.

a)

solid

b)

dotted

146.

Which point below is part of the solution set?

a)

(0,-2)

b)

(1,3)

c)

(3,-4)

d)

(8,1)

147.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

148.

Choose the correct inequality for this graph.

a)

$y<\frac{3}{2}x+1$

b)

$y\le\frac{3}{2}x+1$

c)

$y<\frac{2}{3}x+1$

d)

$y\le\frac{2}{3}x+1$

149.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

150.

Choose all of the solutions to the linear inequality.

a)

(0, 0)

b)

(0, -4)

c)

(-7, 3)

d)

(-2, 2)

151.

Choose all of the solutions to the linear inequality.

a)

(0, -5)

b)

(0, 0)

c)

(5, 5)

d)

(-5, 2)

152.

Choose all the solutions to the inequality.

a)

(0, -1)

b)

(-5, 2)

c)

(5, 1)

d)

(0, 5)

153.

Choose all the possible solutions of the inequality.

a)

(7, 0)

b)

(0, 0)

c)

(10, -2)

d)

(-5, -2)

154.

Choose all the possible solutions of the inequality.

a)

(-4, -4)

b)

(5, 2)

c)

(-1, -3)

d)

(-4, 10)

155.

Choose all the solutions to the inequality.

a)

(0, -5)

b)

(0,5)

c)

(1, 0)

d)

(-5, 5)

156.

a)

(5, 2)

b)

(0, 4)

c)

(-2, -5)

d)

(7, -3)

157.

Points on a dashed/dotted line ARE part of the solution set.

a)

True

b)

False

158.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

159.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

160.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

161.

Which point is a solution?

a)

(0,0)

b)

(0,2)

c)

(-2,0)

d)

(0,-2)

162.

Which point is NOT a solution?

a)

(0,1)

b)

(0,2)

c)

(-2,0)

d)

(2,0)

163.

According to the graph, which point is a solution? Choose all that apply.

a)

(0, 0)

b)

(4, 2)

c)

(-1, -5)

d)

(-3, 0)

164.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

165.

Determine if (3, -4) is a solution to $y\le2x-5$ .

a)

(3, -4) is a solution

b)

(3, -4 is not a solution.

166.

Solve the following system of equations using the substitution method:

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

167.

Solve the following system of equations using the substitution method:

a)

(7, 0)

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

168.

Solve the following system of equations using the substitution method:

$y=3x-8$

$y=4-x$

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

169.

Solve the following system of equations using the elimination method:

a)

(6, -6)

b)

(-6, -6)

c)

(6, -8)

d)

(-3, -6)

170.

Solve the following system of equations using the elimination method:

a)

(5, -3)

b)

(3, 5)

c)

(-5, -3)

d)

(-3, -5)

171.

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

a)

Solution

b)

Not a solution

172.

Which is NOT a solution?

a)

(0,0)

b)

(-2,2)

c)

(2,2)

d)

(0,-2)

173.

Which of the following system of inequalities matches the graph?

a)

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

b)

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

c)

$y\le3x-2$ $y\ge-\frac{1}{2}x-3$

d)

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

174.

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)

175.

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

a)

invisible

b)

solid

c)

dashed

176.

An inequality using a $\ge$ or a $\le$ has a ___________ line

a)

invisible

b)

solid

c)

dashed

177.

Given: y < 4x + 3

Would you draw a solid or dashed line?

a)

Solid

b)

Dashed

178.

Given: y < 4x + 3

Would you shade above or below the line?

a)

Above

b)

Below

179.

Which graph shows the solution to this system of inequalities?

$y<-x+3$

$y>x-1$

a)

b)

c)

d)

180.

Given $2x-y\ge4$ , would you shade above or below the line?

a)

above

b)

below

181.

Given $4x+2y<7$ , would you shade above or below the line?

a)

above

b)

below

182.

Given $4x+15<y$ , would you shade above or below the line?

a)

above

b)

below

183.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

184.

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

185.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

186.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

187.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

188.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

189.

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

a)

b)

c)

d)

190.

Write the system of inequalities for the given graph?

a)

$x>-2$

$y\le-4$

b)

$x>2$

$y>4$

c)

$x\ge2$

$y\le4$

d)

$x>2$

$y\le-4$

191.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

192.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

A1-CHAPTER 5 TEST (2022-2023)

Total questions: 192

Worksheet time: 13hrs 56mins

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