MID TERM Algebra 2AC 10th Lesson

1

Multiple Choice

What is the end behavior?

1

$x\ \rightarrow\ 0\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$

2

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$

2

Multiple Choice

What is the end behavior?

1

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$

2

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$

3

Multiple Choice

What is the end behavior?

1

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$

2

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty\$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$

4

Multiple Choice

What is the end behavior?

1

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ 0$ $x\ \rightarrow\ \infty\ \ ,\ f\left(x\right)\ \rightarrow\ 0$

2

$x\ \rightarrow\ -\infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ -\infty$ $x\ \rightarrow\ \infty\ \ ,\ \ f\left(x\right)\ \rightarrow\ \infty$

5

Multiple Choice

Determine end behavior of function with the given graph

1

$x\rightarrow-\infty;\ f\left(x\right)\ \rightarrow\ -\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

2

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow-\infty$

3

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow-\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow\ -\infty$

4

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

6

Multiple Choice

Determine end behavior of function with the given graph

1

$x\rightarrow-\infty;\ f\left(x\right)\ \rightarrow\ -\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

2

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow-\infty$

3

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow-\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow\ -\infty$

4

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

7

Multiple Choice

Determine end behavior of function with the given function:

$f\left(x\right)\ =1\ +x^7-x^5$

1

$x\rightarrow-\infty;\ f\left(x\right)\ \rightarrow\ -\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

2

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow-\infty$

3

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow-\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow\ -\infty$

4

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

8

Multiple Choice

Determine end behavior of function with the given function:

$f\left(x\right)\ =1\ +x^7-x^5-2x^8$

1

$x\rightarrow-\infty;\ f\left(x\right)\ \rightarrow\ -\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

2

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow-\infty$

3

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow-\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow\ -\infty$

4

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

9

Multiple Choice

Determine end behavior of function with the given function:

$f\left(x\right)\ =1\ +x^4-x^5+2x^2$

1

$x\rightarrow-\infty;\ f\left(x\right)\ \rightarrow\ -\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

2

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow-\infty$

3

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow-\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow\ -\infty$

4

$x\rightarrow-\infty;\ f\left(x\right)\rightarrow+\infty$ $x\rightarrow+\infty;\ f\left(x\right)\rightarrow+\infty$

10

Multiple Choice

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

1

-∞
-∞

2

+∞
-∞

3

-∞
+∞

4

+∞
+∞

11

Multiple Choice

How many extrema are there in this graph?

1

2 max, 2 min

2

3 max, 2 min

3

2 man, 3 min

4

3 increasing intervals, 2 decreasing intervals

5

2 increasing intervals, 3 decreasing intervals

12

Multiple Choice

How many extrema (max and mins) are in the picture?

1

2

3

4

5

13

Multiple Choice

What is the relative max?

1

(0, 36)

2

(-2.55, -6.55), (2.55, -6.55)

3

(-∞, ∞)

4

None

14

Multiple Choice

What is the absolute minimum? **This function is continuous.

1

x = 2

2

x = 1

3

x = −1

4

No Absolute Minimum

15

Multiple Choice

What is the increasing interval for the function below?

1

$\left(-\infty,\infty\right)$

2

$\left(-\infty,2\right]$

3

$\left(-\infty,6\right]$

4

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

16

Multiple Choice

What is/are the increasing interval(s) for the function shown?

1

$\left(-3,\ 1\right)$

2

$\left(4,\ 8\right)$

3

$\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

17

Multiple Choice

What is/are the decreasing interval(s) for the function shown?

1

$\left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$

2

$\left(-\infty,\ 1\right)\ and\ \left(8,\ \infty\right)$

3

$\left(-\infty,1\right),\ \left(-3,\ 1\right)\ and\ \left(8,\ \infty\right)$

4

$\left(-\infty,\ 1\right),\ \left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$

18

Multiple Choice

Find the local maximum and minimum

1

Local max at x = -3

Local min at x = -3

2

Local max at x = 1

Local min at x = -3

3

Local max at x = -3

Local min at x = 1

4

$\left(-\infty,\ \infty\right)$

19

Multiple Choice

Identify the local minimum

1

x = 8

2

x = 4

3

$\infty$

4

x = 2

20

Multiple Choice

Identify the global (or absolute) maximum.

1

-2

2

1

3

$\infty$

4

$-\infty$

21

Multiple Choice

What is the location of the absolute maximum for the graphed function?

1

x = 1

2

x = 3

3

x = 4

4

x = 5

5

Does Not Exist

22

Multiple Choice

How many extrema are there in this graph?

1

2 max, 2 min

2

3 max, 2 min

3

2 man, 3 min

4

3 increasing intervals, 2 decreasing intervals

5

2 increasing intervals, 3 decreasing intervals

23

Multiple Choice

What is the relative max?

1

x = 0

2

x = -2.55

3

(-∞, ∞)

4

None

24

Multiple Choice

For this function, y is increasing when

1

$x>2$

2

$x<2$

3

$x>3$

4

$x<3$

25

Multiple Choice

For this function, y is decreasing when

1

$x>2$

2

$x<2$

3

$x>3$

4

$x<3$

26

Multiple Choice

For this function, the domain is

1

$y>2$

2

$x<2$

3

$x>3$

4

All Real Numbers

27

Multiple Choice

For this function, the range is

1

$y>2$

2

$y<2$

3

$y>3$

4

All Real Numbers

28

Multiple Choice

One of the x-intercepts is

1

$\left(0,\ -3\right)$

2

$\left(2,\ 3\right)$

3

$\left(0,\ 3\right)$

4

There are no x-intercepts

29

Multiple Choice

List the types of intervals that the graph demonstrates in order.

1

decreasing, constant, increasing, constant

2

increasing, decreasing, constant

3

increasing, constant, increasing, constant

4

increasing, constant, decreasing, constant

30

Multiple Choice

Which statement is true about this function?

1

The function is never constant

2

The function is always increasing

3

The function is never decreasing

4

The function increases on the interval 11:00 < x < 15:00

31

Multiple Choice

When is the function decreasing?

1

(30, 55)

2

(40, 60)

3

(15, 40)

4

(60, -40)

32

Multiple Choice

Which graph best represents the following inequality?

1

2

3

4

33

Multiple Choice

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

1

Yes

2

No

3

Sometimes

34

Multiple Choice

Which of the following equations match the given graph?

1

y ≤ -3/4 x + 3

2

y ≥ -3/4 x + 3

3

y < -3/4 x + 3

4

y > -3/4 x + 3

35

Multiple Choice

Is this graph shaded above or below?

1

above

2

below

36

Multiple Choice

Is this graph shaded above or below?

1

above

2

below

37

Multiple Choice

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

1

Yes, they are part of the solution set

2

No, they are NOT part of the solution set

38

Multiple Choice

Which inequality describes this graph...

1

y < 3x - 2

2

y > 3x + 2

3

y < 3x + 2

4

y > 3x -2

39

Multiple Choice

This is a graph of which inequality?

1

y > 4x - 2

2

y > -2x + 4

3

y < -2x

4

y < 4X - 2

40

Multiple Select

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

1

(0, 0)

2

(4, 2)

3

(-1, -5)

4

(-3, 0)

41

Multiple Select

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

1

A dotted line

2

A solid line

3

Shade up

4

Shade down

42

Multiple Choice

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

1

It has an equal sign.

2

The symbol is greater than.

3

The symbol has "or equal to."

4

You just guess.

43

Multiple Choice

Which of the following equations match the given graph?

1

$y\ ≥\ \frac{2}{5}x+1$

2

$y≥-\frac{2}{5}x+1$

3

$y≤\ \frac{2}{5}x+1$

4

$y≥-\frac{2}{5}x-1$

44

Multiple Choice

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

1

Solid

2

Dashed

45

Multiple Choice

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

1

Solid

2

Dashed

46

Multiple Choice

Find f(2)

1

f(2) = 0

2

f(2) = 1

3

f(2) = 3

4

f(2) = 4

47

Multiple Choice

What is m(4) if:

1

-3

2

0.5

3

0

4

-3.5

48

Multiple Choice

What is f(1)?

1

6

2

-2

3

sqrt(2)

4

Undefined

49

Multiple Choice

What is f(1)?

1

6

2

-2

3

sqrt(2)

4

Undefined

50

Multiple Choice

Which graph matches:
4-x for x<2
2x-6 for x>=2

1

A

2

B

3

C

4

D

51

Multiple Choice

What is the RANGE of the function?

1

(-∞, +∞)

2

(-∞, 4]

3

(-∞, 4)

4

[0, 4]

52

Multiple Choice

Which piecewise function corresponds to this graph? (Take your time)

1

f(x) = { x if x < 4; -x+1 if x ≥ 4

2

f(x) = { x if x ≤ 4; -x+1 if x > 4

3

f(x) = { -x+1 if x < 4; x if x ≥ 4

4

f(x) = { -x+1 if x ≤ 4; x if x > 4

53

Multiple Choice

What is f(-2)?

1

4

2

1

3

1

4

DNE

54

Multiple Choice

What is f(3)?

1

6

2

-2

3

-5

4

DNE

55

Multiple Choice

Match the correct piecewise function with the graph given.

1

x if {x>0}
-x+2 if {x≤0}

2

-x if {x≥0}
-x+4 if {x≤0}

3

x² if {x≥0}
-x+2 if {x≤0}

4

2x if {x>0}
-2x+2 if {x≤0}

56

Multiple Choice

Using the pictured graph, what is f(-3)?

1

-3

2

-1

3

1

4

3

57

Multiple Choice

What does the statement 6<x<10 mean?

1

Any number between 6 and 10, but not 6 and 10.

2

Any number between 6 and 10 including 6 and 10

3

Any number between 6 and 10 not including 6 but includes 10

4

Any number between 6 and 10, not including 10 but includes 6

58

Multiple Choice

Which piece-wise function matches the graph provided?

1

2

3

4

59

Multiple Choice

1

2

4

3

6

4

8

60

Multiple Choice

1

-5

2

-2

3

2

4

5

61

Multiple Choice

Solve for x:
2(3x + 4) + 2 = 4 + 3x

1

2

-2/3

3

10

4

-2

62

Multiple Choice

Solve. $\frac{1}{7}k-6=\frac{3}{7}k+4$

1

$k=\frac{35}{2}$

2

$k=7$

3

$k=-35$

63

Multiple Choice

What does "m" represent in y=mx+b?

1

y-intercept

2

slope

3

macaroni

4

nothing

64

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

1

-4

2

-4x

3

5

4

-5

65

Multiple Choice

Find the x and y intercepts
4x - 5y = 40

1

x intercept is 10
y intercept is 8

2

x intercept is 10
y intercept is 20

3

x intercept is 8
y intercept is 10

4

x intercept is 10
y intercept is -8

66

Multiple Choice

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

1

C = 0.20x + 15

2

C =15 (0.20x)

3

C = 15 + x + 0.20

4

C = 0.20 + 15x

67

Multiple Choice

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

1

y = 8.5 + 25.5

2

y = 25.5 + 8.5x

3

y = 8.5 + 25.5x

68

Multiple Choice

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

1

35

2

21.5

3

30

4

30.50

69

Multiple Choice

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

1

y = 8x + 50

2

C = 50m +8

3

y = 50x + 8

4

C = 8m + 50

70

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

1

y=15x

2

y=15x+80

3

y=x+15

4

y=80x+15

71

Multiple Choice

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

1

y = 625x + 225

2

y = 225x

3

y = 225x + 625

4

y = 625

72

Multiple Choice

3(x-2)<2(x+9)

1

x<24

2

x>-24

3

x<12

4

x>18

73

Multiple Choice

Solve:
6x+10>5x-12

1

x>2

2

x<2

3

x<-22

4

x>-22

74

Multiple Choice

Solve:
7(x + 3) < 5x + 13

1

x>-4

2

x < 17

3

x<-4

4

x > -17

75

Multiple Choice

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert. The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

1

26 color, 30 black and white

2

30 color, 35 black and white

3

60 color

4

30 color, 50 black and white

76

Multiple Choice

Which inequality represents the solution set shown on the graph above?

1

$x<4$

2

$x>4$

3

$x\le4$

4

$x\ge4$

77

Multiple Choice

Given the graph above, which number is NOT a part of the solution set?

1

-2

2

-1

3

0

4

1

78

Multiple Choice

Which inequality represents the solution set shown on the graph above?

1

$x<-1$

2

$x>-1$

3

$x\le-1$

4

$x\ge-1$

79

Multiple Choice

Solve:
7(x + 3) < 5x + 13

1

x>-4

2

x < 17

3

x<-4

4

x > -17

80

Multiple Choice

Solve and graph the inequality.
77 ≤ 5 + 8n

1

A

2

B

3

C

4

D

81

Multiple Choice

Match this number line

to its correct solution.

1

x > 2

2

x > 2

3

x < 2

4

x < 2

82

Multiple Choice

Match this number line

to its correct solution.

1

x > -2

2

x < -2

3

x > -2

4

x < -2

83

Multiple Choice

Write the linear inequality for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

1

7x + 13y < 81

2

7x + 13y ≥ 81

3

7x + 13y ≤ 81

4

7x + 13y > 81

84

Multiple Choice

Write the linear inequality for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

1

14x + 5y ≥ 1000

2

14x + 5y < 1000

3

14x + 5y ≤ 1000

4

14x + 5y > 1000

85

Multiple Choice

Write the linear inequality for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

1

x + 2y < 240

2

x + 2y > 240

3

x + 2y ≤ 240

4

x + 2y ≥ 240

86

Multiple Choice

Write the linear inequality for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

1

225x +175y ≤ 21,000

2

225x +175y ≥ 21,000

3

225x +175y < 21,000

4

225x +175y > 21,000

87

Multiple Choice

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

1

Yes because it is located in the shaded region.

2

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

3

Yes because it is located on the line.

4

No because it is in the shaded region.

88

Multiple Choice

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

1

x + y ≥ 25

x + y ≤ 9

2

100x + 25 y ≤ 200

2x + 9y ≤ 16

3

x + y ≥ 200

9x + 25y ≤ 16

4

9x + 25y ≥ 200

x + y ≤ 16

89

Multiple Choice

|v + 8| − 5 = 2

1

{-1,-15}

2

{-1,-5}

3

{-15,15}

4

No Solution

90

Multiple Choice

|2a - 10| = 6

1

a = 8, a = 5

2

a = 2

3

a = 8

4

a = 8, a = 2

91

Multiple Choice

Evaluate each expression.
| x + 9 | = -5

1

-14

2

-4

3

{-14, -4}

4

no solution

92

Multiple Choice

Solve:

1

{24}

2

{-6, -8}

3

{16, 4}

4

{24, -24}

93

Multiple Choice

Write an inequality for Graph 3.

1

x ≤ -2 AND x > 5

2

x ≤ -2 OR x > 5

3

x ≥ -2 OR x < 5

4

-2 ≤ x < 5

94

Multiple Choice

Write an inequality for Graph 4.

1

-2 < x < 5

2

x < -2 or x > 5

3

x ≥ -2 OR x < 5

4

-2 ≤ x ≤ 5

95

Multiple Choice

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

1

18c=6

2

c + 6= 18

3

c +18 = 6

4

3c=18

96

Multiple Choice

Identify the type of solution: $\left|3x-5\right|+2<-9$

1

No solution

2

All real numbers

3

One solution

4

Two solutions

97

Multiple Choice

Identify the type of solution: $\left|3x-5\right|>-9$

1

No solution

2

All real numbers

3

One solution

4

Two solutions

98

Multiple Choice

Identify the type of solution: $\left|3x-5\right|-15>-9$

1

No solution

2

All real numbers

3

One solution

4

Two solutions

99

Multiple Choice

Identify the type of solution: $4\left|-x+8\right|=0$

1

No solution

2

All real numbers

3

One solution

4

Two solutions

100

Multiple Choice

Solve the absolute value inequality: |4x - 2| ≤ 6

1

x < 0.5 or x > 0.5

2

x < 0.5 and x > 0.5

3

x ≤ 0.5 or x > 0.5

4

x < 0.5 or x ≥ 0.5

101

Multiple Choice

Solve the absolute value inequality: |5x + 3| ≥ 7

1

x ≤ -2 or x ≥ 4/5

2

x ≤ -2 or x ≥ 1

3

x ≤ -2 or x ≥ 3

4

x ≤ -2 or x ≥ 7

102

Multiple Choice

Solve the absolute value inequality: |3x + 4| > 8

1

x < -4 or x > 8

2

x < -4 or x > -8

3

x < 4/3 or x > -4

4

x < -4 or x > 4/3

103

Multiple Choice

Solve:
3 | 2x + 7| + 7 < 4

1

x < -3 and x > -5/3

2

x < -3 and x > -4

3

all real numbers

4

no solution

104

Multiple Choice

Solve.
-5|x - 4| > -20

1

x < 8 and x > 0

2

x > 8 or x < 0

3

all real numbers

4

no solution

105

Match

Match the following. Describe the Transformation.

Reflection across the x-axis.

2 units left.

2 units right.

5 units up

5 units down

106

107

Multiple Choice

The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street) .

1

|W - 25| ≤ .5

2

|W - .5| ≤ 25

3

|W - 25| ≥ .5

4

|W - .5| ≥ 25

108

Multiple Choice

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

1

|v|-20=0.03

2

|v-20|=0.03

3

|v|-0.03=20

4

|v-0.03|=20

109

Multiple Choice

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

1

|x-50|=15

2

|x+15|=50

3

|50+x|=15

4

No Solution

110

111

Multiple Choice

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

1

|x – 6| ≤ 0.1

2

|x – 6| ≥ 0.1

3

|x – 0.1| ≤ 6

4

|x – 0.1| ≥ 6

112

Multiple Choice

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

1

|m - 500| ≤ 3000

2

|m - 500| ≥ 3000

3

|m - 3000| ≥ 500

4

|m - 3000| ≤ 500

113

Multiple Choice

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

1

$\left|x-240\right|\le8$

2

$\left|x-8\right|\ge240$

3

$\left|x+240\right|\le8$

4

$\left|x-240\right|\ge8$

114

Multiple Choice

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

1

|x - 50|=15

2

|x + 15|=50

3

|x + 50|=15

4

|x - 15|=50

115

Multiple Choice

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

1

|v - 0.03|=20

2

|v - 20|=0.03

3

|v + 0.03|=20

4

|v + 20|=0.03

116

Multiple Choice

Marcos is cutting ribbons for a craft project. Each ribbon needs to be $\frac{3}{4}$ yard long and each piece he cuts is plus or minus $\frac{1}{16}$ yard. Write an equation to find the shortest and longest pieces of ribbon.

1

$\left|x-\frac{3}{4}\right|=\frac{1}{16}$

2

$\left|x+\frac{3}{4}\right|=\frac{1}{16}$

3

$\left|x-\frac{1}{16}\right|=\frac{3}{4}$

4

$\left|x+\frac{1}{16}\right|=\frac{3}{4}$

117

Multiple Choice

Sofia is buying new skis. She finds that the average price of skis is $750 but the actual price varies by $250. Write an equation to describe this situation.

1

|x - 750|=250

2

|x - 250|=750

3

|x + 750|=250

4

|x + 250|=750

118

Multiple Choice

What is the solution to this system of equations?

1

(4, 1)

2

(-2, 3)

3

(3, -2)

4

No Solution

119

Multiple Choice

What is the solution to this system of equations?

1

Infinitely Many Solutions

2

No Solution

3

(0,0)

4

(1,0)

120

Multiple Choice

Solve the following system by graphing or substitution:

$y=3x-5$

2x+y=5

1

Infinitely Many Solutions

2

No Solution

3

(2,1)

4

(1,2)

121

Multiple Choice

Solve the following system by graphing or substitution:

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

$x+4y=0$

1

(-4,1)

2

(4,5)

3

(4,-1)

4

(5,4)

122

Multiple Choice

Solve the following system by graphing or substitution:

$y=2$

y=\frac{5}{2}x-3

1

(2,2)

2

(5,2)

3

(2,5)

4

Infinitely Many Solutions

123

Multiple Choice

Solve the following system by graphing or substitution:

x=-3

y=\frac{4}{3}x+2

1

(-3,2)

2

(-3,-2)

3

(-3,6)

4

(-3,-6)

124

Multiple Choice

Solve the following system by graphing or substitution method:

y=2x+2

x-y=-5

1

No solution

2

(-1,4)

3

(1,0)

4

(0,2)

125

Multiple Choice

Solve the following system by graphing or substitution:

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

y=2x-1

1

(4,7)

2

(6,7)

3

(3,5)

4

(5,3)

126

Multiple Choice

^{What is the solution?}

1

2

-2

3

(1, 2)

4

(1, -1)

127

Multiple Choice

How many solutions does the graph have?

1

One solution

2

No solution

3

Infinite solutions

128

Multiple Choice

What is the best method do you use?

y = 6x − 11

−2x − 3y = −7

1

Graphing

2

Substitution because a variable is defined

3

Elimination because both equations are in standard form.

129

Multiple Choice

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

1

(1, 5)

2

(5, 1)

3

(0.25, 2)

4

∅

130

Multiple Choice

Solve the system of inequalities by graphing.

1

2

3

4

131

Multiple Choice

Which system of inequalities matches the graph?

1

y > 2x - 4
y < 2

2

y < 2x - 4
y < 2

3

y > 2x - 4
y < 2

4

y < 2x - 4
y < -2

132

Multiple Choice

Which is the graph of the system of inequalities?

1

2

3

4

133

Multiple Choice

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

1

Solution

2

Not a solution

134

Multiple Choice

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

1

TRUE

2

FALSE

135

Multiple Choice

A system of three linear inequalities in two variables is shown below.

y < -x + 3

y > x - 1

Which graph represents the region of solutions to the system of inequalities?

1

2

3

4

136

Multiple Choice

Solve the system of inequalities by graphing.

1

2

3

4

137

Multiple Choice

Which system of inequality is shown?

1

y > -1/5x - 1/2
y ≥ -2x - 4

2

y > -1/5x - 1/2
y ≤ -2x - 4

3

y ≥ -1/5x - 1/2
y ≤ -2x - 4

4

y < -1/5x - 1/2
y ≥ -2x - 4

138

Multiple Choice

Which point is a solution?

1

(0, 6)

2

(-3, 4)

3

(1, 0)

4

(-4, 3)

139

Multiple Select

Identify the two inequalities that represents the graph.

1

y > ½x - 3

2

y ≤ -4x + 2

3

y < ½x - 3

4

y ≥ -4x + 2

MID TERM Algebra 2AC 10th

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