Free Printable A1-CHAPTER 6 TEST 2023-2024

1.

Does the point (2, 3) satisfy the inequality 2x + 3y < 10?

a)

Yes

b)

Maybe

c)

No

d)

I don't know

2.

Does the point (-1, 4) satisfy the inequality -3x + 2y > 5?

a)

Maybe

b)

Yes

c)

I don't know

d)

No

3.

Does the point (0, -2) satisfy the inequality x - 4y <= 8?

a)

I don't know

b)

Maybe

c)

Yes

d)

No

4.

Does the point (5, 1) satisfy the inequality 3x - 2y >= 7?

a)

I'm not sure

b)

Maybe

c)

Yes

d)

No

5.

Does the point (-3, -1) satisfy the inequality -2x - 5y < 15?

a)

I don't know

b)

Yes

c)

No

d)

Maybe

6.

Does the point (4, 0) satisfy the inequality 2x + 3y > 6?

a)

I'm not sure

b)

No

c)

Maybe

d)

Yes

7.

Does the point (1, 2) satisfy the inequality -x + 4y <= 3?

a)

Yes

b)

No

c)

I don't know

d)

Maybe

8.

Does the point (-2, -3) satisfy the inequality 3x - 2y >= -5?

a)

Maybe

b)

No

c)

I'm not sure

d)

Yes

9.

Does the point (0, 0) satisfy the inequality 4x + 2y < 10?

a)

I don't know

b)

Maybe

c)

No

d)

Yes

10.

Does the point (3, -2) satisfy the inequality -x - 3y > -7?

a)

Maybe

b)

Yes

c)

No

d)

I'm not sure

11.

Write the following inequality in slope-intercept form.

$20x\ +\ y\ <\ -2$

a)

$y\ <\ 20x\ -2$

b)

$y\ <\ -20x\ -2$

c)

$y>20x\ -\ 2$

d)

$y>-20x-2$

12.

Write the following inequality in slope-intercept form.

$y\ -5x\ge\ 5$

a)

$y\ge5x\ +5$

b)

$y\ge-5x\ -5$

c)

$y\le5x\ +5$

d)

$-y\ge5x+5$

13.

Write the following inequality in slope-intercept form.

$10x\ -\ y<4$

a)

$y<10x-4$

b)

$y<-10x+4$

c)

$10<-y+4$

d)

$y>10x-4$

14.

Write the following inequality in slope-intercept form.

$14x-2y\ge2$

a)

$-2y\ge-14x+2$

b)

$y\ge7x-1$

c)

$y\le7x-1$

d)

$y\ge28x+4$

15.

Write the following inequality in slope-intercept form.

$y-5x<5$

a)

$y>5x-5$

b)

$y<-5x\ +5$

c)

$y<5x-5$

d)

$y<5x+5$

16.

Write the following inequality in slope-intercept form.

$3x-2y\ge-4$

a)

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

b)

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

c)

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

d)

$y\le\frac{3}{2}x-2$

17.

Write the following inequality in slope-intercept form.

$8x+3y\le9$

a)

$y\ge-\frac{8}{3}x+3$

b)

$y\le\frac{8}{3}x+3$

c)

$y\le-\frac{8}{3}x+3$

d)

$y\le-\frac{8}{3}x+9$

18.

Write the following inequality in slope-intercept form.

$x-2y\le10$

a)

$y\ge\frac{1}{2}x-5$

b)

$y\le\frac{1}{2}x-5$

c)

$y\ge-\frac{1}{2}x-5$

d)

$y\ge\frac{1}{2}x+5$

19.

Write the following inequality in slope-intercept form.

$x-y<0$

a)

$y>x+1$

b)

$y>x$

c)

$y>x-1$

d)

$y<x$

20.

Write the following inequality in slope-intercept form.

$4x-3y>12$

a)

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

b)

$y<\frac{4}{3}x-3$

c)

$y>\frac{4}{3}x-12$

d)

$y<\frac{4}{3}x-4$

21.

If the inequality symbol is $\le$ or $\ge$ , the line will be ___________.

a)

solid

b)

dotted

22.

If the inequality symbol is $<$ or $>$ , the line will be _________.

a)

solid

b)

dotted

23.

If the inequality symbol is $>$ or $\ge$ you shade ________.

a)

above

b)

below

24.

If the inequality symbol is $<$ or $\le$ you shade ________.

a)

above

b)

below

25.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

26.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

27.

What graph matches this inequality?

a)

b)

c)

d)

28.

Describe the graph of $x\ge3$

a)

dotted, shading to the right

b)

dotted, shading to the left

c)

solid, shading to the right

d)

solid, shading to the left

29.

Describe the graph

y<-5

a)

dotted, shaded below

b)

dotted, shaded above

c)

solid, shaded below

d)

solid, shaded above

30.

Is this graph shaded above or below?

a)

above

b)

below

31.

Is this graph shaded above or below?

a)

above

b)

below

32.

Are the points on the boundary 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

33.

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

a)

The line would be solid with shading above.

b)

The line would be dotted with shading above.

c)

The line would be solid with shading below.

d)

None of these.

34.

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.

35.

Do I need to flip my sign?
2x - 3y ≥ 12

a)

Yes

b)

No

36.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

37.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

38.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

39.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

40.

Identify the y-intercept for the function:
y=-3x

a)

-3

b)

0

c)

1

d)

-1

41.

Choose the correct inequality for this graph.

a)

b)

c)

d)

42.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

43.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

44.

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

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

45.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

46.

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.

47.

Where would you find a solution for

y < -x + 4

a)

In the shaded region above the line.

b)

In the shaded region below the line.

c)

On the line.

d)

On the origin.

48.

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)

The line would be dashed with shading below.

49.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

50.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

51.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

52.

Are the points on the boundary 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

53.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

54.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

55.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

56.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

57.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

58.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

59.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

60.

Which of the following equations match the given graph?

a)

$y\ ≥\ \frac{2}{5}x+1$

b)

$y≥-\frac{2}{5}x+1$

c)

$y≤\ \frac{2}{5}x+1$

d)

$y≥-\frac{2}{5}x-1$

61.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

62.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

63.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

64.

Which of the following equations match the given graph?

a)

$x≥-1$

b)

$x\le-1$

c)

$x>-1$

d)

$x<-1$

65.

Which of the following equations match the given graph?

a)

$y≤-\frac{5}{4}x+3$

b)

$y\ge-\frac{5}{4}x+3$

c)

$y<-\frac{5}{4}x+3$

d)

$y>-\frac{5}{4}x+3$

66.

When I see $\le$ or $\ge$ , I use a ________ line.

a)

Solid

b)

Dashed

67.

When I see $<$ or $>$ , I use a ____________ line.

a)

Solid

b)

Dashed

68.

When I see $>$ or $\ge$ , I shade...

a)

Above

b)

Below

69.

When I see $<$ or $\le$ , I shade...

a)

Above

b)

Below

70.

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

a)

Solution

b)

Not a solution

71.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

72.

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)

73.

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

74.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

75.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

76.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

77.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

78.

Which system of inequalities matches the graph?

a)

x> -2 and y < -4

b)

x< 2 and y> 4

c)

x > 2 and y < 4

d)

x > 2 and y <- 4

79.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

80.

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

a)

b)

c)

81.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

82.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

83.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

84.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

85.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

86.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

87.

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

a)

TRUE

b)

FALSE

88.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

89.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

a)

20x + 120 ≥ 3

b)

x/3 + 20 ≤ 120

c)

3x + 20 ≤ 120

d)

3x + 20 ≥ 120

90.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

91.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

92.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

93.

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

a)

3 + 5.5p < 10

b)

20 = 5.5 - 3p

c)

5.5 + 3p < 20

d)

3p + 5.5 ≤20

94.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

95.

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

a)

1.75n + 0.75 ≥ 20

b)

1.75n + 0.75 ≤ 20

c)

0.75n + 1.75 ≥ 20

d)

0.75n + 1.75 ≤ 20

96.

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

a)

30x + 600 > 1,500

b)

30x + 600 ≥ 1,500

c)

30x + 600 < 1,500

d)

30x + 600 < 1,500

97.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

98.

Jack wants to buy a Wii that costs $284. He has $80 and plans to save $25.50 each week. Which equation would represent this situation?

a)

25.50w + 80 = 284

b)

25.50 + 80w = 284

c)

284 - 25.50 = 80w

d)

25.50w + 284 = 80

99.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

$520x+6\le1000$

b)

$520+6x\ge1000$

c)

$520x+6\ge1000$

d)

$520+6x\le1000$

100.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

101.

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. Which inequality represents this situation?

a)

$15>2.50x+1.75$

b)

$15\le2.50x+1.75$

c)

$15\ge2.50+1.75x$

d)

$15<2.50+1.75x$

102.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

103.

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which inequality represents this situation?

a)

$176\ge80+8x$

b)

$176\le80x+8$

c)

$80+8x\ge176$

d)

$80x+8\le176$

104.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Write the inequality to the problem.

a)

0.04x+300 ≥ 550

b)

0.04x+300≤ 550

c)

4x+300 ≥ 550

d)

4x+300 ≤ 550

105.

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Write the inequality to the problem.

a)

50x+1/2 ≥ 4800

b)

1/2x+50 ≤ 4800

c)

50x+2400 ≥ 4800

d)

50x+2400 ≤ 4800

106.

Is this graph shaded above or below?

a)

above

b)

below

107.

Is this graph shaded above or below?

a)

above

b)

below

108.

Are the points on the boundary 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

109.

Do I need to flip my sign?
2x - 3y ≥ 12

a)

Yes

b)

No

110.

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.

111.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

112.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

113.

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)

114.

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.

115.

Which inequality below is equivalent to

3x - y > 4

a)

y > 3x - 4

b)

y < -3x + 4

c)

y < 3x - 4

d)

y > -3x + 4

116.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

117.

When graphing $y<\frac{3}{5}x-4$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

118.

When graphing $y\ge-\frac{2}{7}x+1$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

119.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

120.

The solution set for a linear inequality was graphed as shown. Which of the following linear inequalities best represents this solution set?

a)

y > 3

b)

y < 3

c)

y > 3x

d)

y < -3x

e)

y > 3

121.

Randy must graph x + 3y > 6. Part of his effort is shown in the graph. Which of the following is true about Randy's work so far?

a)

All is great so far. He just needs to do the shading part.

b)

He has the incorrect y-intercept indicated since it should be at (0, 6).

c)

His "rise over run" technique is incorrect since it is reversed.

122.

The members of a local gymnastics organization has $3200 to support a group of its members to go to competition in Dallas, TX. The cost for an adult is $240 and the cost for a child is $150. Which of the following combinations of adults and children will be feasible?

a)

6 children and 10 adults

b)

5 adults and 12 children

c)

12 children and 6 adults

123.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

124.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

125.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

126.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

127.

Solid or Dashed Line?

y > 3x+7

a)

Solid

b)

Dashed

128.

Solid or Dashed Line?

a)

Solid

b)

Dashed

129.

Do we shade ABOVE or BELOW?

a)

Above

b)

Below

130.

Do we shade ABOVE or BELOW?

y > 4x-10

a)

Above

b)

Below

131.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

132.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

133.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

134.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

135.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

136.

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

a)

≤, ≥

b)

<, >

137.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

138.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

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 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

142.

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

a)

Solution

b)

Not a solution

143.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

144.

The given graph represents the inequality x < -1, TRUE or FALSE?

a)

TRUE

b)

FALSE

145.

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.

146.

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

a)

<, >

b)

≤, ≥

147.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

148.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

149.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

150.

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

a)

Solution

b)

Not a solution

151.

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

a)

Solution

b)

Not a solution

152.

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

153.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

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.

Identify all solutions for the graph

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

157.

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

a)

invisible

b)

solid

c)

dashed

158.

The graph of
y ≥ x - 3
is shaded ???

a)

Over / Above

b)

Under / Below

159.

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

160.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

161.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

162.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

163.

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)

164.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

165.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

166.

given the graph of the 2 lines, what are the correct inequalities?

a)

y > 4

y < -3

b)

x > 4

x < -3

c)

y < -3
$y\ge4$

d)

y > -3
y < 4

167.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

168.

Identify the graph represented by the following system of inequalities.

y < 2x - 4

y < -2x + 3

a)

b)

c)

169.

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

a)

Solution

b)

Not a solution

170.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

171.

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

172.

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)

173.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

174.

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

a)

Solution

b)

Not a solution

175.

Are the points on the boundary 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

176.

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.

177.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

178.

These two lines intersect at ______.

a)

(-8, -6)

b)

(-6, -8)

c)

(8, -6)

d)

No solution

179.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

180.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

181.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

182.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

A1-CHAPTER 6 TEST 2023-2024

Total questions: 182

Worksheet time: 18hrs 30mins

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