Free Printable Algebra I, Year 1 Midterm REVIEW

1.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

2.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

3.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

4.

What is the first step in solving this equation?

a)

subtract 3 to both sides

b)

subtract the 6 - 2

c)

distribute 2

d)

distribute -2

5.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

6.

Solve:

10 + 2n = 8n - 2n + 10

a)

n = 5

b)

n = 0

c)

n = -15

d)

n = 12

7.

Solve:

2(4x - 3) - 8 = 4 + 2x

a)

x = 2

b)

x = 3

c)

x = -3

d)

x = 1

8.

Solve:

5y + 34 = -2(-7y + 1)

a)

y = $\frac{36}{19}$

b)

y = 4

c)

y = 9

d)

y = -4

9.

Solve:

-8x - 8 + 3(x - 2) = -3x + 2

a)

x = -8

b)

x = 8

c)

x = -7

d)

x = 7

10.

Solve:

4(2a + 3) = -3(a - 1) + 31

a)

a = 4

b)

a = -4

c)

a = 2

d)

a = -2

11.

$-8x\ +\ 8x\ =\ -1$

a)

12

b)

No Solution

c)

8

d)

3

12.

$0\ =\ 7n\ +7n$

a)

15

b)

0

c)

13

d)

9

13.

$-1\ =\ 8x\ +6\ -\ 8x$

a)

-1

b)

15

c)

No Solution

d)

4

14.

$-3\ =\ -3\ +\ 4r\ -\ 4r$

a)

All Real Numbers

b)

-8

c)

12

d)

-13

15.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

16.

∣2x + 9∣ = 15

a)

x = 3

b)

x = 3

x = -6

c)

x = 3

x = -12

d)

x = 6

x = -12

17.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

18.

Solve for x

2 lx−4l + 8 = 18

a)

x = 9 and x = -1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

19.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

20.

How many solutions does the equation have?

|c - 7| = 2

a)

no solution

b)

one solution

c)

two solutions

21.

How many solutions does the equation have?

4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

22.

Solve
|x – 12| - 3 = 11.

a)

x = -2
x = -26

b)

x = -2
x = 26

c)

x = 3
x = 25

d)

x = 4
x = -7

23.

−2|−2r − 4| = -12

a)

x = 5 and x = 1

b)

x = -5 and x = -1

c)

x = -5 and x = 1

d)

No Solution

24.

| 3n + 12 | = 2n

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

25.

|3h + 2| = 14 - h

a)

h = 3, -8

b)

h = 3

c)

h = 3, 8

d)

no solution

26.

|d + 3| = 6 - 2d

a)

d = 1, 9

b)

d = -1

c)

d = 1

d)

no solution

27.

An extraneous solution is

a)

not a concern when solving absolute value equations

b)

an apparent solution that must be rejected because it does not satisfy the original equation

28.

Solve for x: -4|x + 5| + 2 = -126

a)

x = 26 or x = -36

b)

x = 27 or x = -37

c)

x = 123 or x = -133

d)

No Solution

29.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

30.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

31.

Which expression represents the value of e in the equation:

dx + e = f

a)

e = (f + e)/d

b)

e = (f - x)/d

c)

e = d/(x - f)

d)

e = f-dx

32.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

33.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

34.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

35.

∣2x + 9∣ = 15

a)

x = 3

b)

x = 3

x = -6

c)

x = 3

x = -12

d)

x = 6

x = -12

36.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

a)

120 miles

b)

100 miles

c)

110 miles

d)

150 miles

37.

Which situation best represents the following equation?

25 + .05x = 50 + .01x

a)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

b)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

c)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

d)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

38.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

39.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

40.

12(y+2)=6(2y+4)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

41.

a)

A

b)

B

c)

C

d)

D

42.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

43.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

44.

Solve:

a)

A

b)

B

c)

C

d)

D

45.

Solve the following Compound Inequality:

6<x-6\le9

a)

$12<x\le15$

b)

$12\le x<15$

c)

$12\ge x>15$

d)

$12>x\ge15$

46.

Is $7$ a solution to $-2<x<5$

a)

Yes

b)

No

47.

Solve the following Compound Inequality:

x+3<5\ \ \ or\ \ \ 2x>10

a)

$x<2\ \ \ or\ \ \ x>5$

b)

$x<8\ \ \ or\ \ \ x>20$

c)

$2>x>5$

d)

$2>x>5$

48.

What do happens to the inequality symbol after dividing all sides by $-2$ ?

-4<-2x<-8

a)

The inequality symbol 'Flips',

$<$ becomes $>$

b)

Nothing

49.

Solve the following Compound Inequality:

-4<-2x<12

a)

$2>x>-6$

b)

$2<x<-6$

c)

$-2>x>6$

d)

$-2<x<6$

50.

Is $3$ a solution to $-2<x<5$

a)

Yes

b)

No

51.

Solve the following Compound Inequality:

5x+2<7\ \ \ or\ \ \ -2x\le-20

a)

$x<1\ \ \ or\ \ \ x\ge10$

b)

$x<1\ \ \ or\ \ \ x\le10$

c)

$x>1\ \ \ or\ \ \ x\ge-10$

d)

$x>1\ \ \ or\ \ \ x\ \le\ -10$

52.

Solve the following Compound Inequality:

9<3x+6\le36

a)

$1<x\le10$

b)

$3<x\le18$

c)

$0<x\le6$

d)

$3<x\le12$

53.

Is $5$ a solution to $x<-5\ \ \ or\ \ \ x\ge5$

a)

Yes

b)

No

54.

Solve the following Compound Inequality:

4x-2\le-22\ \ or\ \ \ 3x>-6

a)

$x\le-5\ \ \ or\ \ \ x>-2$

b)

$x\le5\ \ \ or\ \ \ x>-2$

c)

$x\le-6\ \ \ or\ \ \ x>-2$

d)

$x\le6\ \ \ or\ \ \ x\ >-2$

55.

Solve for x: $5+\left|3x\right|>20$

a)

$\left(-\infty,-5\right)\cup\left(5,\infty\right)$

b)

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

c)

$\left(-\infty,-5\right]\cup\left[5,\infty\right)$

d)

$\left[-5,5\right]$

56.

Solve for x: $5+\left|3x\right|>20$

a)

$\left(-\infty,-5\right)\cup\left(5,\infty\right)$

b)

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

c)

$\left(-\infty,-5\right]\cup\left[5,\infty\right)$

d)

$\left[-5,5\right]$

57.

Solve for x:

$\left|5-5x\right|+1\le36$

a)

$\left(-\infty,-6\right]\cup\left[8,\infty\right)$

b)

$\left(-6,8\right)$

c)

$\left(-\infty,-6\right)\cup\left(8,\infty\right)$

d)

$\left[-6,8\right]$

58.

Solve for x: $\frac{\left|-10+4x\right|}{10}\ge1$

a)

$\left(0,5\right)$

b)

$\left(-\infty,0\right)\cup\left(5,\infty\right)$

c)

$\left(-\infty,0\right]\cup\left[5,\infty\right)$

d)

$\left[0,5\right]$

59.

Solve for x:
$5\left|4+x\right|<-15$

a)

$\left(-\infty,-7\right)\cup\left(-1,\infty\right)$

b)

$\left[-7,-1\right]$

c)

$\left(-7,-1\right)$

d)

$\left\{\ \ \ \ \right\}$

60.

Solve for x: $\left|6+9x\right|\le24$

a)

$\left[-\ \frac{10}{3},\ 2\right]$

b)

$\left(-\ \frac{10}{3},\ 2\right)$

c)

$\left(-\infty,-\ \frac{10}{3}\right)\cup\left(2,\infty\right)$

d)

$\left(-\infty,-\ \frac{10}{3}\right]\cup\left[2,\infty\right)$

61.

Solve for x: $10+9\left|x+8\right|<55$

a)

$\left(-\infty,-13\right]\cup\left[-3,\infty\right)$

b)

$\left(-13,-3\right)$

c)

$\left[-13,-3\right]$

d)

$\left(-\infty,-13\right)\cup\left(-3,\infty\right)$

62.

Select all that apply:

Solve for x: $|−4+5x|=17x$

a)

$x=-\frac{1}{3}$

b)

$x=-3$

c)

$x=\frac{2}{11}$

d)

$x=\frac{11}{2}$

63.

Solve for x: $−2|−2x−4\ |=-12$

a)

$x=\left\{\ \ \ \right\}$

b)

$x=\left\{1,\ -5\right\}$

c)

$x=\left\{-5\right\}$

d)

$x=\left\{1\right\}$

64.

How many solutions are there?
$4|m|=-20$

a)

no solution

b)

one solution

c)

two solutions

d)

infinitely many solutions

65.

Which graph correctly shows $f(x)=|x+1|−4$ ? Do NOT graph into your calculator! Also, you can click on the image to make it bigger.

a)

A

b)

B

c)

C

d)

D

66.

Which of the following is the correct function for the graph shown? Do NOT graph into your calculator! You can click on the image to make it bigger.

a)

$f(x)=2|x-4|-3$

b)

$f(x)=\frac{1}{2}|x+4|-3$

c)

$f(x)=\frac{1}{2}|x-4|-3$

d)

$f(x)=2|x+3|+4$

67.

Which of the following is the correct function for the graph shown? Do NOT graph into your calculator! You can click on the image to make it bigger.

a)

$f(x)=-3|x-1|+4$

b)

$f(x)=-|x-1|+4$

c)

$f(x)=-3|x+1|+4$

d)

$f(x)=-3|x-4|+1$

68.

Which of the following is the correct function for the graph shown? Do NOT graph into your calculator! You can click on the image to make it bigger.

a)

$y=\left|x-4\right|-3$

b)

$y=-\left|x+4\right|-3$

c)

$y=-\left|x-4\right|-3$

d)

$y=-\left|x+4\right|+3$

69.

a)

$\left(-\infty,-\frac{3}{2}\right)\cup\left(\frac{1}{2},\infty\right)$

b)

$\left(-\infty,-\frac{3}{2}\right)\cup\left(2,\infty\right)$

c)

$\left(-\frac{3}{2},\ \frac{1}{2}\right)\$

d)

$\left(-\frac{3}{2},\ 2\right)$

70.

Solve for x: $4-4|x+3|>8$

a)

$\left(-4,-2\right)$

b)

$\left(-\infty,-4\right)\cup\left(-2,\infty\right)$

c)

$x=\left\{\ \ \ \right\}$

d)

all real numbers

71.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

72.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

73.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

74.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

75.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

76.

A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

77.

Where is the function positive?

a)

$0<x<4$

b)

$at\ the\ vertex\ \left(2,4\right)$

c)

$y\le4$

d)

$-\infty<x<\infty$

78.

Is the graph increasing or decreasing?

a)

Increasing

b)

Decreasing

c)

Both; increasing if x < 3, and decreasing is x > 3

d)

Both; decreasing if x < 3, and increasing is x > 3

79.

What are the domain and the range of the function?

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (∞,-∞) and range (∞,-∞)

c)

domain (-∞, 3] and range [3,∞)

d)

domain (-∞,1] and range [1,∞)

80.

On what interval is the graph decreasing?

a)

$y>3$

b)

$y<3$

c)

$y>1.5$

d)

$y<4.5$

81.

What is the DOMAIN?

a)

$x\ge0$

b)

$x<0$

c)

All Real Numbers

d)

{0, 1, 2, 3, 4,...}

82.

Identify the intervals where the function is positive and where it is negative.

a)

positive x > -1 and negative x < -1

b)

positive nowhere and negative -4 < x < -1

c)

positive x < -3 and x > 1 and negative -3 < x < 1

d)

positive R and negative x < -4

83.

Identify the function's domain and range.

a)

domain -∞ to ∞ and range -∞ to ∞

b)

domain -∞ to ∞ and range 4 to ∞

c)

domain -∞ to ∞ and range -4 to ∞

d)

domain -3 to 1 and range -4 to ∞

84.

Let's call the graph f(x). Find f(5) = ___

a)

25

b)

30

c)

35

d)

40

85.

What is the interval of increase?

a)

All Real Numbers

b)

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

c)

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

d)

$\left(-\infty,4\right)$

86.

What is the interval of increase?

a)

All Real Numbers

b)

$\left(0,\ 2\right)$

c)

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

d)

$\left(1,\ \infty\right)$

87.

Identify the domain of the function.

a)

$\left(1,\infty\right)$

b)

$\left[1,\infty\right)$

c)

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

d)

$\left[2,\infty\right)$

88.

Identify the range of the function.

a)

$\left(1,\infty\right)$

b)

$\left[1,\infty\right)$

c)

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

d)

$\left[2,\infty\right)$

89.

For the pictured function, at which interval is it decreasing?

a)

(-∞, 2)

b)

(-2, 0)

c)

(0, ∞)

d)

(-3, 1)

90.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

91.

What are the x-intercepts?

a)

(0, 0) and (2, 0)

b)

(-4, 0) and (0, 0)

c)

(2, 0) and (3, 0)

d)

(0, 0) and (4, 0)

92.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

93.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, ∞)

c)

(-∞, -4)

d)

(-∞, -3)

94.

Identify the increasing interval:

a)

(0, 4)

b)

(1, 0) U (1, 4)

c)

(-1, 1)

d)

(-∞, -1) U (1, ∞)

95.

Identify the decreasing interval:

a)

(0, 4)

b)

(1, 0) U (1, 4)

c)

(-1, 1)

d)

(-∞, -1) U (1, ∞)

96.

Find the x values in which f(x) > 0 [Find where it is positive.]

a)

(-1, 1)

b)

$\left(-\infty,-1\right)\cup\left(-1,\ 2\right)$

c)

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

d)

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

97.

State the relative maximum value.

a)

(-1, 0)

b)

(9,0)

c)

(1, 4)

d)

(4, 1)

98.

What is f(0)?

a)

$-1$

b)

$2$

c)

$4$

d)

$-5$

99.

When is the function decreasing?

a)

(30, 55)

b)

(40, 60)

c)

(15, 40)

d)

(60, -40)

100.

The x-intercept is (1.3, 0).

a)

True

b)

False

101.

As x increases, y decreases.

a)

True

b)

False

102.

True or False:

The x-intercept of a function ALWAYS has a zero as the y-coordinate.

a)

TRUE

b)

FALSE

103.

Which ordered pair could represent a y-intercept?

a)

(-1, 0)

b)

(2, 4)

c)

(0,4)

d)

(-2, 4)

104.

What is the y-intercept of the graph?

a)

(-2,5)

b)

(1,0)

c)

(0,1)

d)

(-3.104, 0)

105.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y = 2x + 1

c)

7x + 2y = 9

d)

2x + 3 = 6

106.

Which of the following is the graph of $5x\ +\ 2y\ =\ 10$ ?

a)

b)

c)

d)

107.

Which of the following is the graph of $x\ -\ 2y\ =\ -8$ ?

a)

b)

c)

d)

108.

Which of the following is the graph of $x\ +\ 2y\ =\ 4$ ?

a)

b)

c)

d)

109.

Graph

a)

b)

c)

d)

110.

What is the y-intercept of
2x-5y=35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

111.

What is the x-intercept of
x+4y=7?

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

112.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

113.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

114.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

115.

Which graph best represents the equation y = -3x + 4?

a)

b)

c)

d)

116.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

117.

Which graph represents y = 3x?

a)

b)

c)

118.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

119.

Name the correct equation

a)

y=x+7

b)

y=-x

c)

y=x

d)

y=-x-7

120.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

121.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

122.

Write the slope intercept form of the equation graphed.

a)

y = -2x + 3

b)

y = 1.5x + 2

c)

y = 2x - 3

d)

y = -1.5x - 2

123.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

124.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

125.

Write the equation of the line.

a)

y= -1x + 3

b)

y= 3x - 1

c)

y= -1/3x - 1

d)

y= -3x - 3

126.

what is the equation of the line shown:

a)

y = -3x + 2

b)

y = -1/3 x + 2

c)

y = 3x + 2

d)

y = 1/3 x + 2

127.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

128.

Find the slope given the points (-5,-3) and (2,4).

a)

5/4

b)

1/7

c)

-1

d)

1

129.

Find the slope given the points (3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

130.

Find the slope given the points (1,4) and (5,9).

a)

5/4

b)

4/5

c)

-5/4

d)

2/3

131.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

The graph of g is a vertical translation 2 units up of the graph of f

b)

The graph of f is a horizontal translation two units left of g

c)

The graph of g is a vertical stretch by a factor of 2 of the graph of f

d)

The graph of g is a reflection of the graph of f

132.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

The graph of g is a vertical translation 4 units up from the graph f

b)

The graph of g is a horizontal translation of the graph of f, 4 units right

c)

The graph of g is a horizontal translation of the graph of f, 4 units left

d)

The graph of g is a vertical stretch of the graph of f, by a factor of 7

133.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

134.

How did the equation shift from the parent function?

y = f(x) + c

a)

Shifted up "c" units

b)

Shifted down "c" units

c)

Stretches vertically

d)

Shifted right "c" units

135.

Which transformation on

f(x) = x

is g(x) = -f(x)

a)

Reflection across the y-axis

b)

The slope will be less steep

c)

The graph will be wider

d)

Reflection across the x-axis.

136.

How did the equation shift from the parent function? y = f(x - 4)

a)

Shift right by 4

b)

Shift left by 4

c)

Horizontal Stretch by 4

d)

Vertical Stretch by 4

e)

Shift down by 4

137.

What is the vertex?

a)

(3, 1)

b)

(0, 1)

c)

(1, 3)

d)

No vertex

138.

Describe the transformation of the equation below:

y = I x - 2 I + 4

a)

Left 2 up 4

b)

Right 2 up 4

c)

Left 2 down 4

d)

Right 2 down 4

139.

What is the vertex?

a)

(3, 1)

b)

(0, 1)

c)

(1, 3)

d)

No vertex

140.

Describe the transformation of the equation below:

y = I x - 2 I + 4

a)

Left 2 up 4

b)

Right 2 up 4

c)

Left 2 down 4

d)

Right 2 down 4

141.

Describe the transformation of the equation below:

y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

142.

Describe the transformation of the equation below:

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

d)

Right 2 down 5

143.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

144.

What are the transformations for the equation below:

y=-3|x+1|-3 ?

a)

Reflection, stretch factor of 3, left 1, and down 3

b)

Reflection, shrink factor of 3, right 1, and down 3

c)

Down 6 and right 1

d)

More narrow, right 1, and down 3

145.

Describe the transformations of the equation above:

a)

Stretches, shifts up 4 units

b)

Stretches, shifts down 4 units

c)

Shrinks, shifts up 4 units

d)

Shrinks, shifts down 4 units

146.

Describe the transformations of the absolute value equation.

a)

reflection, shrinks, shifts right 1 unit

b)

reflection, shrinks, shifts up 1 unit

c)

reflection, stretches, shifts right 1 unit

d)

reflection, stretches, shifts up 1 unit

147.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

148.

What is the equation of the absolute value function?

a)

f(x)= 4|x+3|

b)

f(x)= 1/4 |x+3|

c)

f(x)= 1/4 |x - 3|

d)

f(x)= 4|x - 3|

149.

Which graph matches the function:
y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

150.

What is the equation of the graph below? You can click the picture to zoom in!

a)

y = - | x + 2| + 4

b)

y = - | x - 2| + 4

c)

y = | x - 2 | + 4

d)

y = | x - 2| - 4

151.

f(x) = −|x+4|

a)

A

b)

B

c)

C

d)

D

152.

Choose the graph that matched the equation.
y = |x - 1|

a)

b)

c)

d)

153.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

154.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

155.

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

a)

y=6|x|-2/5

b)

y=2/5|x|+6

c)

y=2/5|x+6|

d)

y=2/5|x-6|

156.

What is the parent function for an absolute value function?

a)

f(x)=x³

b)

f(x)=x

c)

f(x)=IxI

d)

f(x)=x²

157.

What is the vertex of the function?

f)x) = -2 |x + 3| - 2

a)

(-3, -2)

b)

(3, -2)

c)

(3, 2)

d)

(-3, 2)

158.

What is the vertex of the function?

f(x) = 2|x - 4|

a)

(2, -4)

b)

(2, 4)

c)

(-4, 0)

d)

(4, 0)

159.

What is the value of A?

f(x) = -2|x - 4| + 3

a)

-4

b)

2

c)

-2

d)

3

160.

f(x) = -2|x - 4| + 3

What effect does the a-value have on this graph?

a)

Reflected about the x-axis, Vertically Stretched by a factor of 2.

b)

Reflected about the x-axis, Vertically Compressed by a factor of 2.

c)

Reflected about the y-axis, shifted 3 units down.

d)

Reflected about the y-axis, shifted 3 units up.

161.

What is the value of K?

f(x) = 4|x +2| - 3

a)

4

b)

2

c)

-3

d)

0

162.

What effect does the k value have on the graph?

f(x) = 4|x +2| - 3

a)

translates the graph horizontally 3 units to the right.

b)

translates the graph horizontally 2 units to the left.

c)

translates the graph vertically 3 units up.

d)

translates the graph vertically 3 units down.

163.

Which is the equation for the following graph?

a)

f(x) = 2|x - 1| + 1

b)

f(x) = 2 $\left|x+1\right|-1$

c)

f(x) = $2\left|x-1\right|-1$

d)

f(x) = $2\left|x+1\right|+1$

164.

a)

f(x) = $\frac{1}{2}\left|x-2\right|+3$

b)

f(x) = $-\frac{1}{2}\left|x-2\right|+3$

c)

f(x) = $-\frac{1}{2}\left|x+3\right|-2$

d)

f(x) = $\frac{1}{2}\left|x-3\right|+2$

165.

a)

$f\left(x\right)=\frac{3}{2}\left|x\right|+2$

b)

$f\left(x\right)=\frac{3}{2}\left|x+2\right|$

c)

$f\left(x\right)=\frac{3}{2}\left|x\right|-2$

d)

$f\left(x\right)=\frac{3}{2}\left|x-2\right|$

166.

a)

$f\left(x\right)=\frac{1}{2}\left|x+3\right|$

b)

$f\left(x\right)=\frac{1}{2}\left|x\right|+3$

c)

$f\left(x\right)=-\frac{1}{2}\left|x\right|+3$

d)

$f\left(x\right)=-\frac{1}{2}\left|x+3\right|$

167.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=2\left|x-1\right|$

c)

$f\left(x\right)=\frac{1}{2}\left|x-1\right|$

d)

$f\left(x\right)=-\left|x-1\right|$

168.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=\left|x\right|$

c)

$f\left(x\right)=-\left|x\right|$

d)

$f\left(x\right)=-x$

169.

a)

$f\left(x\right)=\left|x+2\right|-3$

b)

$f\left(x\right)=\frac{4}{3}\left|x+2\right|-3$

c)

$f\left(x\right)=\frac{3}{4}\left|x+2\right|-3$

d)

$f\left(x\right)=\frac{4}{3}\left|x+3\right|-2$

170.

a)

$f\left(x\right)=\frac{1}{2}\left|x+3\right|-2$

b)

$f\left(x\right)=\frac{2}{1}\left|x-2\right|+3$

c)

$f\left(x\right)=\frac{1}{2}\left|x+2\right|-3$

d)

$f\left(x\right)=\frac{1}{2}\left|x-2\right|+3$

171.

a)

$f\left(x\right)=-2\left|x-1\right|-1$

b)

$f\left(x\right)=-2\left|x+1\right|-1$

c)

$f\left(x\right)=-\frac{1}{2}\left|x-1\right|-1$

d)

$f\left(x\right)=-\frac{1}{2}\left|x+1\right|-1$

172.

a)

$f\left(x\right)=2\left|x-2\right|-2$

b)

$f\left(x\right)=2\left|x+2\right|-2$

c)

$f\left(x\right)=2\left|x-2\right|+2$

d)

Ooh! Pick this one! Pick this one!

173.

a)

$f\left(x\right)=\left|x+3\right|+3$

b)

$f\left(x\right)=-\left|x-3\right|+3$

c)

$f\left(x\right)=-\left|x+3\right|+3$

d)

No, really! This time pick this one! I promise this is the one!

Algebra I, Year 1 Midterm REVIEW

Total questions: 173

Worksheet time: 13hrs 45mins

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