Free Printable Fall Final Review

1.

ex 1. Add.
-3+(-11)

a)

-8

b)

-14

c)

14

d)

8

2.

ex 1. Add.
3+(-7)

a)

-4

b)

-10

c)

10

d)

4

3.

ex 1. Add.
-10+15

a)

-25

b)

25

c)

5

d)

-5

4.

ex 1. Add.
-8.3+(-1.9)

a)

-10.2

b)

10.2

c)

6.4

d)

-6.4

5.

ex 2. Subtract
2-8

a)

6

b)

-6

c)

10

d)

-10

6.

ex 2. Subtract
-8-(-1)

a)

-7

b)

7

c)

-9

d)

9

7.

ex 2. Subtract
-11-5

a)

-16

b)

16

c)

-6

d)

6

8.

ex 2. Subtract
10.7-(-9.8)

a)

20.5

b)

-20.5

c)

0.9

d)

-0.9

9.

ex 3. Simplify
11+2-2

a)

11

b)

15

10.

ex 3. Simplify
18+3-4

a)

17

b)

-25

11.

ex 3. Simplify
-5-4+2

a)

-7

b)

7

12.

ex 3. Simplify
-3-11+7

a)

-7

b)

7

13.

ex 4. Multiply
(-8)(-1)

a)

8

b)

-8

c)

9

d)

-9

14.

ex 4. Multiply
(-2) 1/6

a)

-1/3

b)

1/3

c)

-2 1/6

d)

2 1/6

15.

ex 4. Multiply
0(11)

a)

0

b)

11

16.

ex 4. Multiply
8(-2)0

a)

0

b)

-0

17.

ex 5. Divide
20 ÷ -4

a)

-5

b)

5

18.

ex 5. Divide

a)

3

b)

-3

19.

ex 5. Divide

a)

-1/8

b)

-8

c)

8

d)

1/8

20.

ex 5. Divide

a)

8

b)

0

c)

undefined

21.

ex 5. Divide

a)

1/4

b)

-1/4

c)

2/25

d)

-2/25

22.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

23.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

24.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

25.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

26.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

27.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

28.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

29.

Solve for x:
10 = 3x -12

a)

22/3

b)

2/3

c)

10/9

d)

8

30.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

31.

Solve for x:
5 + 3x = 8x - 15

a)

10

b)

4

c)

2

d)

20/11

32.

Solve

-5x + 1 = -19

a)

x=4

b)

x=-4

c)

x=5

d)

x=-5

33.

Solve

$\frac{1}{4}x=-2$

a)

x=2

b)

x=-2

c)

x=8

d)

x=-8

34.

Solve

5x+3=4x-10

a)

x=13

b)

x=-13

c)

x=16

d)

x=3

35.

Solve

2+ $\frac{1}{2}x$ =-20

a)

x=22

b)

x=-40

c)

x=-44

d)

x=44

36.

Solve

-3x - 9 = 2x +1

a)

x=-2

b)

x=2

c)

x=5

d)

x=-5

37.

Solve

-3(2x-1)=15

a)

x=6

b)

x=-6

c)

x=2

d)

x=-2

38.

Solve

-20 = 5(x+2)

a)

x=4

b)

x=-4

c)

x=-6

d)

x=6

39.

Solve

$15=6+\frac{3}{2}x$

a)

x=6

b)

x=-6

c)

x=12

d)

x=-12

40.

Which is the first step that is wrong? -3(x+2)=-2(2x-4)

step 1 -6x-6 = -4x+8

step 2 -2x-6=8

step 3 -2x = -2

step 4 x = 1

a)

step 1

b)

step 2

c)

step 3

d)

step 4

41.

Which is the first step that is wrong? $3\left(-2x-1\right)=-5x+13$

Step 1 -6x-3 = -5x+13

Step 2 -x - 3 = 13

Step 3 -x = 16

Step 4 x = -16

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

Nothing is wrong

42.

Solve y - x = 5 for y.

a)

y = 5 + x

b)

y = -5 - x

c)

y = -5 + x

d)

y = 5 - x

43.

Solve x = 3y - 24 for y.

a)

y = (x + 24)/3

b)

y = x/3 + 24

c)

y = 3x + 24

d)

y = 3(x + 24)

44.

Solve -2 = 4x + y for y.

a)

y = -2 + 4x

b)

y = 2 - 4x

c)

y = -2 - 4x

d)

y = 2 + 4x

45.

Solve -3y + 6x = 12 for y.

a)

y = 2x + 4

b)

y = 2x - 4

c)

y = -2x + 4

d)

y = -2x - 4

46.

Solve 2y + 4x = 12 for y.

a)

y = -4x + 12

b)

y = -4x + 6

c)

y = -2x + 6

d)

y = -2x + 4

47.

Solve y - 5x = 11 for y.

a)

y = -5x + 11

b)

y = -5x - 11

c)

y = 5x + 11

d)

y = 5x

48.

Solve m - n = 5 for m.

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

49.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

50.

Solve for the indicated variable.

a)

A = l/w

b)

w = l/A

c)

w = A

d)

w = A/l

51.

Solve x = w / a for w.

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

52.

Solve for x

x + 8 > 11

a)

x > 3

b)

x < 3

c)

x > 19

d)

x < 19

53.

Solve for x

4x + 3 ≤ −6

a)

x ≥ −9

b)

x ≤ −9

c)

x ≥ −2.25

d)

x ≤ −2.25

54.

Solve for x

−2x ≥ 16

a)

x ≥ −8

b)

x ≤ −8

c)

x ≥ −32

d)

x ≤ −32

55.

Solve for x

a)

x > 15

b)

x < 15

c)

x > 1.7

d)

x < 1.7

56.

Solve for x

3x − 8 ≥ 4(x − 1.5)

a)

x ≥ 3.5

b)

x ≤ 3.5

c)

x ≥ −2

d)

x ≤ −2

57.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

58.

Which graph matches the inequality

r ≥ -6?

a)

A

b)

B

c)

C

d)

D

59.

Solve the inequality

a)

b)

c)

d)

60.

a)

m ≤ 15

b)

m ≥ 15

c)

m ≤ 8

d)

m ≥ 8

61.

a)

f < 0.5

b)

f > 0.5

c)

f < 1.2

d)

f > 1.2

62.

Solve for x

6x − 7 > 2x + 17

a)

x > 6

b)

x < 6

c)

x > 7

d)

x < 7

63.

Solve for x

a)

x > 8

b)

x < 9

c)

x > 10

d)

x < 7

64.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

65.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

66.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

67.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

68.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

69.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

70.

Find the slope:
(-4, 3) and (-4, -7)

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

71.

Find the slope:
(8,5) and (-9, 5)

a)

Zero

b)

Undefined

c)

-10/17

d)

-10/1

72.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

73.

What is the slope of the table?

a)

-3/5

b)

-5/3

c)

3/5

d)

5/3

74.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

75.

Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

76.

Convert the standard form equation into slope-intercept form.
6x - y = 1

a)

y = -x + ⅙

b)

y = 6x - 1

c)

x = ⅙

d)

y = 27, 239, 430

77.

Convert the standard form equation into slope-intercept form.
5x - 4y = -20

a)

y = (5/4)x + 5

b)

y = -5x - 4

c)

x = 20

d)

y = 27, 239, 430

78.

Solve this equation for y:
$-6x+3y=9$

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

79.

Solve this equation for y:
$10x\ -5y=30$

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

80.

Convert the standard form equation into slope-intercept form.
x - 5y = 10

a)

y = ⅕x - 2

b)

y = -x - 2

c)

x = -10

d)

y = 27, 239, 430

81.

a)

y=-5x+5

b)

y=-x+5

c)

y=x+1

d)

y=-x+1

82.

a)

y=1/2x+5

b)

y=-1/2x+5

c)

y=-1/2x-5

d)

y=1/2x-5

83.

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

a)

subtract 2x from each side

b)

subtract 4y from each side

c)

add 2x to each side

d)

add 4y to each side

84.

After subtracting 2x from each side, the resulting equation is shown below:

2x + 4y = 8

4y = -2x + 8

The final step to solve for y would be to ____________.

a)

divide each term by 4

b)

divide each term by -4

c)

add 4 to each side

d)

subtract 4 from each side

85.

What is the name of this formula? $y\ -\ y_{1\ }=\ m\ \left(x\ -\ x_1\right)$

a)

Point-Slope Form

b)

Slope-Intercept Form

86.

What is the name of this formula? $y\ =\ mx\ +\ b$

a)

Point-Slope Form

b)

Slope-Intercept Form

87.

What does b represent?

a)

slope

b)

point

c)

y-intercept

d)

the grade of my next quiz

88.

What does m represent?

a)

slope

b)

point

c)

y-intercept

d)

the first letter in the world mom

89.

What does x₁ represent?

a)

the X value in (x, y)

b)

the X value in (y, x)

c)

the Y value in (x, y)

d)

the Y value in (y, x)

90.

What does y₁ represent?

a)

the X value in (x, y)

b)

the X value in (y, x)

c)

the Y value in (x, y)

d)

the Y value in (y, x)

91.

What is the slope?
$y+5=-\frac{7}{4}(x-4)$

a)

5/1

b)

-7/4

c)

-4/1

d)

5/4

92.

What is the point?
$y+5=-\frac{7}{4}(x-4)$

a)

(5, -4)

b)

(-5, 4)

c)

(4, -5)

d)

(-4, 5)

93.

What is the point?
$y+4=2(x-1)$

a)

(4, -1)

b)

(-4, 1)

c)

(1, 4)

d)

(1, -4)

94.

What is the slope?
$y+4=2(x-1)$

a)

4/1

b)

2/1

c)

-1/1

d)

1/1

95.

What is the point?

y-4=\frac{4}{5}(x-5)

a)

(5, 4)

b)

(-5, -4)

c)

(4, 5)

d)

(-4, -5)

96.

What is the slope?

y-4=\frac{4}{5}(x-5)

a)

5/4

b)

4/5

c)

-5/4

d)

-4/5

97.

What is the point-slope form of the given information:

through:(2,\ 3),\ slope=\frac{1}{4}

a)

$y\ -\ 3\ =\ \frac{1}{4}\left(x\ -\ 2\right)$

b)

$y\ -\ 2\ =\ \frac{1}{4}\left(x\ -\ 3\right)$

98.

What is the point-slope form of the given information:

through:(-4,1),\ slope=-\frac{1}{2}

a)

$y\ +\ 1\ =\ -\frac{1}{2}\left(x\ +\ 4\right)$

b)

$y\ +\ 1\ =\ -\frac{2}{1}\left(x\ +\ 4\right)$

99.

What is the point-slope form of the given information:

*Hint: there are 2 right equations below

through:(2,-2),\ slope=-2

a)

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

b)

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

c)

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

d)

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

100.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

101.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

102.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

103.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

104.

Why might a person use a point-slope formula?

*Hint: there are 2 answers

a)

The graph's has no slope

b)

The graph's line does not cross the y-intercept

c)

The graph's line does not cross the y-intercept at a whole number (easy to work with)

d)

The graph does not any a (x, y) points

105.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

106.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

107.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

108.

Which of the following equations is written in STANDARD form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

109.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

110.

Nevaeh went to the sale at Kohl's last weekend. T-shirts (x) were on sale for $15 each and hoodies (y) were on sale for $20 each. She spent $150 total. Which equation correctly models this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

111.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

112.

Which equation is the correct standard form for 1 = -4x + 9y ?

a)

4x - 9y = -1

b)

4x + 9y = 1

c)

4x + 9y = -1

d)

$y\ =\ \frac{4}{9}x\ +\ \frac{1}{9}$

113.

Which is the correct STANDARD form equation for a line that passes through the point (10, -2) and has a slope of -5 ?

a)

y = -5x + 48

b)

y + 2 = -5(x - 10)

c)

5x + y = 48

d)

5x + y = 0

114.

What would you have to do to change the following equation to STANDARD form?

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

a)

Nothing; it is already in standard form

b)

Add 3 to both sides so the right side is zero

c)

Subtract 1/4 x from both sides to get the x on the right

d)

Multiply everything by 4 to get rid of the fraction

115.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

116.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

117.

Which figure shows a set of parallel lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

118.

Which figure shows a set of perpendicular lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

119.

Choose the most precise answer: These roads are

a)

Intersecting

b)

Perpendicular

c)

Parallel

120.

Choose the most precise answer: These streets are

a)

Parallel

b)

Perpendicular

c)

Intersecting

121.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

122.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

123.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

124.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

125.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

126.

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

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

127.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

base

c)

nothing

d)

slope

128.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

3x

129.

Select all that are true.

a)

Parallel lines never intersect.

b)

Parallel lines intersect at a right angle.

c)

Perpendicular lines never intersect.

d)

Perpendicular lines intersect at a right angle.

130.

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)

131.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

132.

What is the domain?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

133.

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

134.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

135.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

136.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

137.

Consist of two or more linear equations that have the same variables.

a)

Linear System

b)

Function Notation

c)

Direct Variation

d)

Literal Equation

Fall Final Review

Total questions: 137

Worksheet time: 7hrs 27mins

Similar Resources on Wayground