Free Printable Algebra II Semester 1 Final

1.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

2.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

3.

A slice of pizza costs $3.50. You have $25.00 in your wallet to spend on pizza. Write an inequality to represent the number, p, of slices of pizza you can buy.

a)

3.50p < 25.00

b)

3.50p > 25.00

c)

3.50p ≤ 25.00

d)

3.50p ≥ 25.00

4.

On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

a)

s ÷ 4 ≥ 6

b)

s ÷ 4 ≤ 6

c)

s ÷ 6 ≥ 4

d)

s ÷ 6 ≤ 4

5.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

6.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

7.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

8.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

9.

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

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

10.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

11.

| x - 2 | > 3 Is the solution

a)

and

b)

or

12.

What solution is represented by the graph?

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

13.

Write an inequality for Graph 3.

(Select all that apply)

a)

$2\left|x-\frac{3}{2}\right|+4>11$

b)

$2\left|x-\frac{3}{2}\right|+4\ge11$

c)

$\left|x-\frac{1}{2}\right|>7$

d)

$2\left|x-\frac{3}{2}\right|+4<11$

14.

What kind of compound inequality is this?

a)

conjunction

b)

disjunction

15.

When graphing Greater Than (Or) Absolute Value Inequalities, the shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

16.

When graphing Less Than (And) Absolute Value Inequalities, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

17.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

18.

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.

19.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

20.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-5,5}

d)

No Solution

21.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

22.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

23.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

24.

Solve the inequality:

|x - 4| < 9

a)

x > 13 or x < -5

b)

x < -13 or x > 5

c)

x > 5 and x < 13

d)

-5 < x < 13

25.

Solve:
2|3y + 1| - 5 = 9

a)

y = 3, y = -3

b)

y = 2, y = -1

c)

y = 1, y = -2

d)

y = 2, y = -2

26.

Which of the following best describes the solution to |z + 6| > 4?

a)

z > -2 and z < 10

b)

-10 < z < -2

c)

z < -2 or z > 10

d)

z > -2 or z < -10

27.

Solve the equation:

|5x - 2| = 13

a)

x = 2.2, x = -3

b)

x = 3, x = 2

c)

x = 2, x = -3

d)

x = 3, x = -2.2

28.

Which of the following inequalities represents all values of y such that |y + 4| < 7?

a)

y < -3 or y > 11

b)

y > -11 and y < 3

c)

-11 < y < 3

d)

y < -11 or y > 3

29.

What is the solution to the inequality |2m - 1| > 9?

a)

m > -4 and m < 5

b)

-4 < m < 5

c)

m > 4 or m < -5

d)

m < -4 or m > 5

30.

Define P.E.M.D.A.S?

(What Does Each Letter Stand For)

4 lines

31.

What is the solution to this system of equations?

a)

(-4,3)

b)

(5,-4)

c)

(-4, -5)

d)

(-4, 5)

32.

What is the solution to this system of equations?

a)

(1,0)

b)

(-3, -1)

c)

(-1,-3)

d)

(1,3)

33.

What is the solution to this system of equations?

a)

(1,4)

b)

(4,1)

c)

(3,5)

d)

(-1, 4)

34.

What is the solution to this system of equations?

a)

(1,3)

b)

(-2,3)

c)

(3,1)

d)

(3,-1)

35.

What is the solution to this system of equations?

a)

(3,-3)

b)

(-3,3)

c)

(0,1)

d)

(1,0)

36.

What is the solution to this system of equations?

a)

(0,2)

b)

(2,0)

c)

(-5,0)

d)

(5,0)

37.

What is the solution to this system of equations?

a)

(0,-1)

b)

(-1,0)

c)

(1,0)

d)

(0,1)

38.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

39.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

40.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

41.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

42.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

43.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

44.

Dependent or Independent?

a)

Neither

b)

Independent

c)

Dependent

45.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

46.

WITHOUT GRAPHING
what can you say about these lines

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Inconsistent and Dependent

d)

Inconsistent and Independent

47.

WITHOUT GRAPHING
what can you say about these lines

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Inconsistent and Dependent

d)

Inconsistent and Independent

48.

WITHOUT GRAPHING
what can you say about these lines

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Inconsistent and Dependent

d)

Inconsistent and Independent

49.

WITHOUT GRAPHING
what can you say about these lines

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Neither

d)

Inconsistent

50.

How may solutions does this graph have?

a)

None

b)

1

c)

3

d)

Infinitely many

51.

Match the following equations with their slope and y-intercept.

a)

slope: 3

y-intercept: 2

1.

$y=3x+2$

b)

slope: $-\frac{1}{2}$

y-intercept: 5

2.

$y=-\frac{1}{2}x+5$

c)

slope: 1

y-intercept: -6

3.

$y=x-6$

d)

slope: $\frac{3}{4}$

y-intercept: -3

4.

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

e)

slope: -1

y-intercept: 7

5.

$y=-x+7$

52.

Write the equation of the graph in slope-intercept form.

53.

Categorize the rate of change for each table as either linear or nonlinear.

Categorize the following

Linear

Nonlinear

54.

Determine which line satisfies each slope description.

a)negative slope

b)positive slope

c)zero slope

d)undefined slope

1

2

3

4

1)

2)

3)

4)

55.

What are the x- and y-intercept of the linear equation $6x-3y=24$ ? SELECT ALL THAT APPLY!

a)

(4, 0)

b)

(0, 4)

c)

(-8, 0)

d)

(0, -8)

56.

Categorize each charatistic about horizonal and vertical lines.

Categorize the following

Written in the form y = b

b is the y-intercept

Does not have an x-intercept

Written in the form x = a

a is the x-intercept

Does not have a y-intercept

Horizontal Lines

Vertical Lines

57.

Calculate the slope between the points (1, 2) and (5, 3). Leave the slope in simplest form.

58.

Rafael wants to find the slope of the line. Rafael's work is shown below.
$m=\ \frac{4-2}{100-50}=\frac{2}{50}=\frac{1}{25}$ .

What mistake did he make ?

He used (a) instead of (b) .

Choose from the below words

$\frac{y_2\ -y_1}{x_2-x_1}$

$\frac{x_2-x_1}{y_2-y_1}$

y=mx+b

Ax+By=C

59.

Find the slope of the line that passes through the points (0, 4) and (1, 0). Use the slope formula.

a)

4

b)

-4

c)

-1/4

d)

undefined

60.

What is the equation of the line?

a)

$y=4$

b)

$x=4$

c)

$x=-4$

d)

$y=-4$

61.

The rate of change of the graph is ___.

62.

Write the equation of the graph in slope-intercept form:

$y=$ (a) $x\ +$ (b)

Choose from the below words

2

-2

1

\frac{1}{2}

63.

What is the equation of the line?

a)

$x=4$

b)

$x=-4$

c)

$y=-4$

d)

$x=4$

64.

What is the formula for point-slope form?

a)

ax + by = c

b)

$y-y_1=m\left(x-x_1\right)$

c)

$\frac{y_2-y_1}{x_2-x_1}$

d)

y = mx + b

65.

What is the formula for slope-intercept form?

a)

ax + by = c

b)

$y-y_1=m\left(x-x_1\right)$

c)

$\frac{y_2-y_1}{x_2-x_1}$

d)

y = mx + b

66.

What is the slope formula?

a)

ax + by = c

b)

$y-y_1=m\left(x-x_1\right)$

c)

$\frac{y_2-y_1}{x_2-x_1}$

d)

y = mx + b

67.

What is the formula for standard form?

a)

ax + by = c

b)

$y-y_1=m\left(x-x_1\right)$

c)

$\frac{y_2-y_1}{x_2-x_1}$

d)

y = mx + b

68.

When converting from point-slope to slope-intercept, what is your first step?

a)

Find the slope between the two points

b)

Distribute slope into the parenthesis

c)

Move the x-term

d)

Y-Intercept

69.

When given two points and asked to write an equation, what is your first step?

a)

Find the slope between the two points

b)

Distribute slope into the parenthesis

c)

Move the x-term

d)

Y-Intercept

70.

When converting from standard to slope-intercept form, what is your first step?

a)

Find the slope between the two points

b)

Distribute slope into the parenthesis

c)

Move the x-term

d)

Y-Intercept

71.

When graphing a line written in slope-intercept form, you should first plot the...

a)

Find the slope between the two points

b)

Distribute slope into the parenthesis

c)

Move the x-term

d)

Y-Intercept

72.

What does the letter "m" in the slope-intercept form represent?

a)

y-intercept

b)

zero

c)

slope

d)

x-intercept

73.

What does the letter "b" in the slope-intercept form represent?

a)

y-intercept

b)

zero

c)

slope

d)

x-intercept

74.

Write the slope-intercept form given: Slope = -5/2 and y-intercept = 0

a)

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

b)

$y=-\frac{3}{2}$

c)

$y=\frac{5}{2}x$

d)

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

75.

Write the slope-intercept form given Slope = -1/4 and y-intercept = -5

a)

$y=-\frac{1}{4}x-5$

b)

$y=-x-5$

c)

$y=-5x-\frac{1}{4}$

d)

$y=\frac{1}{4}x-5$

76.

Write the slope-intercept form given Slope = -1 and y-intercept = 5

a)

$y=-x+5$

b)

$y=2x+5$

c)

$y=-3x+5$

d)

$y=3x+5$

77.

Convert from standard to slope-intercept form:

$x-8y=-24$

a)

$y=\frac{5}{8}x+3$

b)

$y=-\frac{5}{8}x+3$

c)

$y=\frac{1}{8}x+3$

d)

$y=3x-\frac{5}{8}$

78.

Convert from standard to slope-intercept form:

$4x-5y=-20$

a)

$y=\frac{3}{5}x+4$

b)

$y=4x-\frac{3}{5}$

c)

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

d)

$y=\frac{4}{5}x+4$

79.

Convert from point-slope form to slope-intercept form:

$y-4=-6\left(x+1\right)$

a)

$y=-6x+2$

b)

$y=2x-6$

c)

$y=-6x-2$

d)

$y=-2x-6$

80.

Convert from point-slope form to slope-intercept form:

$y-2=7\left(x+2\right)$

a)

$y=5x+16$

b)

$y=7x+16$

c)

$y=-5x+16$

d)

$y=-7x+16$

81.

Find the slope of the line that passes through

(3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

82.

Find the slope of the line that passes through

(10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

83.

Find the slope of the line that passes through

( 20, 8 ) and ( 20, 16 )

a)

-16

b)

Undefined

c)

0

d)

-8/11

84.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

85.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

86.

Write the equation of the graph.

a)

$y=2x-2$

b)

$y=-2x-2$

c)

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

d)

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

87.

Write the equation of the graph.

a)

$y=2x-1$

b)

$y=-2x-1$

c)

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

d)

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

88.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

89.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(-4, 7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x + 4)

90.

What is the slope formula?

a)

b)

c)

d)

91.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

92.

Find the slope of the line that passes through the points (2, -7) and (-1, 6).

a)

-13/3

b)

3/13

c)

-1/3

d)

1/3

93.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

equal.

d)

reciprocals.

94.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

equal.

d)

reciprocals.

95.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

96.

What is the slope of a horizontal line?

a)

0

b)

undefined

97.

What would the graph of the equation y = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

98.

What is the slope of a vertical line?

a)

0

b)

undefined

99.

What type of slope does the following graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

100.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

101.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

102.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

103.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= 3x+4

104.

What is the equation of this line?

a)

y = 2x +2

b)

y = -2x + 2

c)

y = -x + 2

d)

y=2x - 1

105.

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.

$y=-x+5$
$y=6x-2$

a)

b)

c)

d)

106.

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. $-8x-10=y$
$-4x+y=2$

a)

b)

c)

d)

107.

Solve the following system of equations by graphing.

$y=11x-6$

$y=-6x+11$

a)

$\left(-1,5\right)$

b)

$\left(1,7\right)$

c)

$\left(5,1\right)$

d)

$\left(1,5\right)$

108.

Solve the following system of equations by graphing.

$2y+8x=58$

$y-5x=11$

a)

$\left(2,21\right)$

b)

$\left(21,2\right)$

c)

$\left(4,20\right)$

d)

$\left(1,21\right)$

109.

Solve the following system of equations by graphing.

$y=3x-8$
$y=-9x+4$

a)

$\left(-5,1\right)$

b)

$\left(-1,-5\right)$

c)

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

d)

$\left(1,-5\right)$

110.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same line

111.

Based on the graph of the following system, determine the solution.

a)

$\left(4,2\right)$

b)

$\left(1,4\right)$

c)

$\left(2,4\right)$

d)

no solution

112.

Two lines have the following equations:

$4x+3y=7$

$x+2y=-2$

At what point do the intersect?

a)

$\left(1,1\right)$

b)

$\left(0,-1\right)$

c)

$\left(4,-3\right)$

d)

$\left(6,-4\right)$

113.

Which of the following graphs best represents a system of equations that has no solution?

a)

b)

c)

d)

114.

What is the value of x in the solution to the system of equations below?

$6x+3y=33$

$3x-y=4$

a)

$1$

b)

$5$

c)

$3$

d)

None of these

115.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same line

116.

If a system of equations has one solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same line

117.

Solve the system by graphing:

$6x+3y=33$

$y=-2x+11$

a)

$\left(0,11\right)$

b)

$\left(5.5,0\right)$

c)

$\left(4,2\right)$

d)

infinite solutions

118.

Which graphed system of equations below has infinite solutions?

a)

b)

c)

d)

119.

Which shows the equation $3x+2y=8$ solved for 'y'?

a)

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

b)

$y=-3x+4$

c)

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

d)

$y=3x+4$

120.

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

a)

Adult: $12
Child: $8
Senior: $8

b)

Adult: $6
Child: $4
Senior: $5

c)

Adult: $7
Child: $5
Senior: $4

d)

I did not get any of the answers above so I am assuming none ofthe above.

Algebra II Semester 1 Final

Total questions: 120

Worksheet time: 4hrs 9mins

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