Free Printable Final exam

1.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

2.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

3.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

4.

a)

y=-5x+5

b)

y=-x+5

c)

y=x+1

d)

y=-x+1

5.

What is the slope formula?

a)

b)

c)

d)

6.

Find the slope:
(-3, 3) and (7, 6)

a)

3/4

b)

-4/3

c)

3/10

d)

-10/3

7.

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

8.

Coordinate points (-1, 1) would lead me to which plot point?

a)

H

b)

G

c)

A

d)

J

9.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

10.

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

a)

A

b)

B

c)

C

d)

D

11.

Which of the following graphs has a NEGATIVE SLOPE?

a)

b)

c)

d)

12.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

13.

What does point C on the box plot represent?

a)

First Quartile

b)

Median

c)

Third Quartile

d)

Mean

14.

What is the median of this data set?

a)

8

b)

12

c)

15

d)

19

15.

What is the least and greatest value of this data set?

a)

6 and 8

b)

6 and 19

c)

8 and 15

d)

15 and 19

16.

What is the range of this data set?

a)

6

b)

12

c)

13

d)

19

17.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

18.

What value is the lower quartile?

a)

66

b)

58

c)

60

d)

64

19.

What is the upper quartile of the set of data; 2, 4, 6, 6, 7, 8, 10

a)

4

b)

6

c)

8

d)

2

20.

What is the median of this set of data?

a)

8

b)

4

c)

5.5

d)

15

21.

Which statement is true?

a)

Airplane A has a lesser median

b)

Airplane B has a greater range

c)

Airplane A has a less predictable flight length

d)

Airplane B a lesser IQR

22.

Find First quartile Q1

a)

20

b)

30

c)

35

d)

45

23.

Find the Median

a)

98

b)

93

c)

78

d)

85

24.

Which has a Median of 1?

a)

Zach

b)

Steven

c)

They both have a median on 1

25.

What is the range of the set of data?

a)

70

b)

65

c)

80

d)

55

26.

a)

A

b)

B

c)

C

d)

D

27.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

28.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

a)

127

b)

155

c)

156

d)

193

29.

What data value is the upper quartile?

a)

64

b)

62

c)

66

d)

58

30.

What is the median?

a)

62

b)

58

c)

66

d)

60

31.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

32.

What is the mode?

a)

The average

b)

The number that appears most often.

c)

The largest number - the smallest number

d)

The number in the middle.

33.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

34.

Find the midrange.

2, 5, 8, 3, 13, 5

a)

11

b)

13

c)

5

d)

7.5

35.

The spinner is spun 20 times. Predict how many times the spinner should land on blue.

a)

0 times

b)

5 times

c)

10 times

d)

20 times

36.

What is the probability of selecting a brown M&M from this bowl?

4 yellow, 6 orange, 2 brown, 3 green, 5 blue

a)

$\frac{2}{18}$

b)

$\frac{1}{9}$

c)

$\frac{2}{20}$

d)

$\frac{1}{10}$

37.

A game requires rolling a six-sided die numbered from 1 to 6. What is the probability of rolling 1 or a 2?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

38.

A game requires rolling a six-sided die number 1 to 6 and flipping a coin. What is the chance rolling an even number and flipping a head?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{1}{3}$

d)

$\frac{1}{5}$

39.

An apartment complex offers apartments with three different options, designated by A, B, and C.

A: One Bedroom, Two Bedrooms, or Three Bedrooms

B: One Bath or Two Bath

C: First Floor or Second Floor

What is the probability that someone will select a first floor apartment that has two bedrooms?

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{1}{3}$

40.

There are 345 students who take the bus to school, and the rest get rides from family members. If the school has 520 students, what is the probability that students do not ride the bus?

a)

$\frac{9}{26}$

b)

$\frac{69}{104}$

c)

$\frac{35}{104}$

d)

$\frac{13}{29}$

41.

People can pick up their lunch box with the options of sandwich (ham or turkey), fruit (apple or orange) , or drink (water or juice).

What is the probability if someone randomly pick a box that has turkey sandwich, an apple and water without knowing what is inside the box.

a)

$\frac{1}{8}$

b)

$\frac{1}{9}$

c)

$\frac{1}{3}$

d)

$\frac{1}{4}$

42.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

43.

What is the probability of getting an EVEN number on this spinner?

a)

1/5

b)

3/5

c)

3/2

d)

4/5

44.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/8

c)

1/9

d)

1/3

45.

Ben has a basket of 5 red balls, 3 yellow balls, and 2 green balls. What is the probability that the probability he randomly chooses will be red?

a)

1/2

b)

1/5

c)

1/10

d)

5/8

46.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

47.

Find the product.

$\left(p\ -\ 8\right)^2$

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

48.

x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

49.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

50.

Find the product:
$\left(8x-7\right)\left(2-6x+9x^2\right)$

a)

$9x^3+14x^2-7x+14$

b)

$72x^3-111x^2+58x-14$

c)

$x^3+2x^2-5x+2$

d)

$3x^3-2x^2+7x-9$

51.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

52.

Multiply
(x²-2x+1)(x+1)

a)

x³-x²-x+1

b)

x³-2x+2

c)

x³+x²+x+1

d)

x³-3x²-3x+1

53.

Multiply the polynomials:

(2x - 4)(-2x - 3)

a)

-4x² - 6x + 8x + 12

b)

-4x² - 6x - 8x - 12

c)

4x² + 6x + 8x + 12

d)

4x²+ 6x - 8x - 12

54.

Multiply Polynomials:

6v(2v + 3)

a)

12v + 18v

b)

12v² + 18v

c)

12v² + 18

d)

8v + 3

55.

Multiply Polynomials:

(6v - 4)(v + 1)

a)

6v² + 6v -4 + v + 1

b)

6v² + 6v -4v + 1

c)

6v² + 6v - 4v - 4

d)

6v² + 6v - 4v + 4

56.

Multiply.

(2b+3)(3b²+2b+1)

a)

A

6b³+ 6b²+ 6b + 3

b)

B

6b³+ 13b²+ 8b + 3

c)

C

5b³+ 8b²+ 3b + 4

d)

D

5b³+ 6b²+ 3b + 4

57.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

58.

$(2x−5)(4x^2−7x+3)$

a)

$8x^3−15$

b)

$4x^3−14x^2−15$

c)

$8x^3−14x^2+6x−5$

d)

$8x^3−34x^2+41x−15$

59.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

60.

Find the product:

$\left(7r\ -\ 6\right)\left(7r\ +\ 6\right)$

a)

49r²+ 36

b)

49r²- 36

c)

49r²+ 84r + 36

d)

49r²+ 42r + 36

61.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

62.

Find the product:
$\left(4x^2+14x-6\right)\left(11-3x\right)$

a)

$x^3-14x^2-6x+1$

b)

$12x^3+86x^2+172x-6$

c)

$-x^3+14x^2+6x-6$

d)

$-12x^3+2x^2+172x-66$

63.

Find the product:
$\left(x+1\right)\left(x^2-4x-21\right)$

a)

$x^3-3x^2-25x-21$

b)

$x^3+3x^2+25x+21$

c)

$-x^3-3x^2-25x-21$

d)

$x^4-3x^3-25x^2-21x$

64.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

65.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

66.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

67.

Simplify: $\frac{6m^7}{\left(4m^3\right)^2}$

a)

$\frac{6m}{16}$

b)

$\frac{3m}{8}$

c)

$\frac{3}{8m}$

d)

$\frac{3m}{4}$

68.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

69.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

70.

Simplify $\left(\frac{1}{3}\right)^{-3}$

a)

1/9

b)

1/27

c)

27

d)

-27

71.

$x^{-5}$ =

a)

$\frac{1}{x^{-5}}$

b)

$\frac{1}{x^5}$

c)

$\frac{x^5}{1}$

d)

$\frac{x^{-5}}{1}$

72.

$\frac{x^9}{x^4}$ =

a)

$x^{13}$

b)

$x^{36}$

c)

$x^5$

d)

$x^{-5}$

73.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

74.

Simplify (-4x)⁰

a)

-4x

b)

-4

c)

1

d)

-1

75.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

76.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

77.

Simplify: x²⋅ x⁵

a)

x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x

b)

x⁷

c)

x¹⁰

d)

x ⋅ x

78.

Simplify: 3x³ ⋅ 3x

a)

3²x⁴

b)

3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x

c)

9x⁴

d)

3x⁴

79.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

80.

$\frac{7a^2}{3a}$

a)

$\frac{7a}{3a}$

b)

$\frac{7a}{3}$

c)

$\frac{7a^2}{3}$

d)

$\frac{3}{7a}$

81.

$\frac{5r^3}{8r}$

a)

$\frac{5r^2}{8}$

b)

$\frac{5}{8}$

c)

$5r^2$

d)

$\frac{5}{8r}$

82.

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

83.

Simplify the expression

a)

x²/2

b)

2/x¹⁴

c)

2x¹⁴

d)

2/x²

84.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

85.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

86.

Simplify: $\left(2m\right)^5$

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

$\frac{1}{2m^5}$

87.

Write a slope intercept equation for a line containing the point (2,4) with a slope of $\frac{4}{3}$

a)

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

b)

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

c)

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

d)

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

88.

From the equation: y = -2x+6 what is the y-intercept of the line?

a)

y

b)

6

c)

x

d)

-2

89.

Which of the following equations has a POSITIVE SLOPE?

a)

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

b)

$y=-4x+1$

c)

$y=-13$

d)

$x=10$

90.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

91.

Write an equation
m = 1/3 through (4, 4)

a)

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

b)

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

c)

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

d)

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

92.

Write a point-slope form equation of the line containing the point (1,3) with a slope of 6

a)

$y=-3\left(x-3\right)-1$

b)

$y=6\left(x-1\right)+3$

c)

$y=3\left(x-1\right)+3$

d)

$y=6\left(x-3\right)+1$

93.

Solve 2 + 5x + 2x = -12.

a)

$x\ =\ -2$

b)

$x\ =\ -\frac{10}{7}$

c)

$x\ =\ 2$

d)

$x\ =\ \frac{10}{7}$

94.

What is the solution to the equation 3(2x - 5) = x + 10?

a)

9

b)

6

c)

8

d)

5

95.

Solve the equation -3(1 + 6x) = 14 - x.

a)

x = 1

b)

x = -1

c)

No solution

d)

All real numbers

96.

What is the solution to the equation 3(5x + 4) - 20 = 13x - 4?

a)

2

b)

8

c)

-2

d)

4

97.

Solve 2(y + 5) = 3(y - 8).

a)

-34

b)

14

c)

34

d)

-14

98.

Solve for a:

$\frac{a-4}{5}=3$

a)

a=19

b)

a=11

c)

a= $\frac{3}{5}$

d)

a= $\frac{23}{5}$

99.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

100.

What value of k makes the equation $10k-7=7k-15$ true?

a)

$k=\frac{8}{3}$

b)

$k=-\frac{8}{3}$

c)

$k=\frac{22}{3}$

d)

$k=-\frac{22}{3}$

101.

$x+2+6=8$

a)

0

b)

14

c)

8

d)

4

102.

If $7p+9-p=4p-2$ , what is the value of p?

a)

$-\frac{11}{2}$

b)

$-\frac{7}{2}$

c)

$\frac{11}{2}$

d)

$\frac{7}{2}$

103.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

104.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

105.

IR = V

(solve for R)

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

106.

$cy=10$

Solve for y.

a)

$y=\frac{10}{c}$

b)

$y=10-c$

c)

$y=10c$

d)

$y=10+c$

107.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

108.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

109.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

$b=\frac{2A}{h}$

c)

$b=\frac{Ah}{2}$

d)

$b=\frac{A-2}{h}$

110.

given the equation 8x + 4y= 15,

What is the first step in solving for y?

a)

Subtract 8x from both sides

b)

subtract 4y from both sides

c)

divide both sides by 4

d)

subtract 15 from both sides

111.

A - B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

112.

$W=\frac{A}{L}$

(solve for A)

a)

$A=\frac{W}{L}$

b)

$A=LW$

c)

$A=W+L$

d)

$A=W-L$

113.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

114.

$y=\ \frac{z}{x}\ \ solve\ for\ x$

a)

$x\ =\ \frac{y}{z}$

b)

$x\ =\ \frac{z}{y}$

c)

$x\ =\ yz$

d)

$x\ =\ y\ -\ z$

115.

Solve for y.

a)

$y=\frac{a}{b}$

b)

y=a - b

c)

y=ab

d)

y=a + b

116.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

117.

$\frac{20x^2}{5x}$

a)

$15x$

b)

$4x$

c)

$15x^2$

d)

$25x$

118.

$\frac{\left(m^2n+m^6n^3\right)}{mn}$

a)

$m^3n^2+m^7n^4$

b)

$m^2n+m^5n^2$

c)

$m+m^5n^2$

d)

$m+m^6n^3$

119.

$\left(14d^3-21d^8\right)\div\ 7d^2$

a)

$7d-21d^6$

b)

$7d^{1.5}-14d^4$

c)

$2d-3d^6$

d)

$2d^{1.5}-3d^4$

120.

$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$

a)

$4x^2+3x-5$

b)

$4x^2+3x^{1.5}-5x$

c)

$6x^2+4x-12$

d)

$6x^2+4x^{1.5}-12x$

121.

$\frac{\left(15mn^2+30m^3n^4+45n^5\right)}{5}$

a)

$10mn^2+25m^3n^4+40n^5$

b)

$20mn^2+35m^3n^4+54n^5$

c)

$15mn^2+6m^3n^4+45n^5$

d)

$3mn^2+6m^3n^4+9n^5$

122.

$\frac{\left(-18x^5-12x^3-6x^2\right)}{-3x}$

a)

$-15x^4-9x^2-3x$

b)

$-6x^4-4x^2-2x$

c)

$6x^4+4x^2+2x$

d)

$6x^5+4x^3+2x^2$

123.

$\frac{\left(x^6y^8-x^4y^6+x^2y^4\right)}{x^2y^2}$

a)

$x^4y^6-x^2y^4+y^2$

b)

$x^3y^4-x^2y^3+xy^2$

c)

$x^8y^{10}-x^6y^8+x^4y^6$

d)

$0x^4y^6-0x^2y^4+0y^2$

124.

$\frac{15w^2-12w+9}{3}$

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w + 9

125.

Divide: $\frac{4x^5+5x^3-7x^2+6x}{x}$

a)

$4x^4+5x^2-7x+6$

b)

$3x^4+4x^2-6x+5$

c)

$4x^4+5x^3-7x+6$

126.

Divide: $\frac{9x^2+6x}{3x}$

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

127.

$\frac{-20p^2-16p}{-4p}$

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

128.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

129.

$\frac{75x^8+50x^4+30x^3+5x^2}{5x^2}$

a)

$15x^8+10x^4+6x^3+x^2$

b)

$15x^6+10x^2+6x$

c)

$15x^{10}+10x^6+6x^5+x^4$

d)

$15x^6+10x^2+6x+1$

130.

Divide the polynomial by the monomial. $\frac{8x^8-8x^2-28}{4x}$

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

131.

$\frac{15x^9-40x^6}{5x^3}$

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

132.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

133.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

134.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

135.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

136.

$\frac{81x^9-54x^6+27x^3}{9x}$

a)

$9x^9-6x^6+3x^3$

b)

$9x^8-6x^5+3x^2$

c)

$9x^{10}-6x^7+3x^4$

d)

$81x^8-6x^5+3x^2$

137.

What is the first step to simplify the equation below

$\frac{24x^3+6x^2}{3x}$

a)

$\frac{24x^3}{3x}+\frac{6x^2}{3x}$

b)

$8x^2+2x$

c)

$\frac{8x^3}{x}+\frac{2x^2}{x}$

d)

$\frac{30x^5}{3x}$

138.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

139.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

140.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

141.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

142.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

143.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

144.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

145.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

146.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

147.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

148.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

149.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

150.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

151.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

152.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

153.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

154.

What inequality is graphed?

a)

2 < x ≤ -3

b)

2 < x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

155.

Which graph represents

-5\ ≤\ x\ ≤\ 5

?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

156.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

157.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

158.

$\frac{b}{2}<13$

a)

$b<26$

b)

$b\le26$

c)

$b>26$

d)

$b\ge26$

159.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

160.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

161.

Solve and graph the inequality b - 6 < -15

a)

A

b)

B

c)

C

d)

D

162.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

163.

Find the product.

$\left(p\ -\ 8\right)^2$

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

164.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

165.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

166.

Evaluate y = x + 5 when x = 3.

a)

8

b)

2

c)

9

d)

6

167.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

168.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

169.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

170.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b + 19

171.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

172.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

173.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

174.

Add or subtract the following polynomials:

$\left(20x^2+5x-1\right)-\left(7x^2-14x\right)$

a)

$27x^2-9x-1$

b)

$13x^2+19x-1$

c)

$27x^2+19x-1$

d)

$13x^2-9x-1$

175.

Add or subtract the following polynomials:

$\left(5x^2+7x-13\right)-\left(10x^2-3x+23\right)$

a)

$15x^2+4x+10$

b)

$5x^2+4x\ +10$

c)

$-5x^2+10x-36$

d)

$2x^2+10x+10$

176.

Add or subtract the following polynomials:

$\left(5x^2+7x-13\right)+\left(10x^2-3x+23\right)$

a)

$15x^2+4x+10$

b)

$5x^2+4x\ +10$

c)

$-5x^2+10x-36$

d)

$2x^2+10x+10$

177.

What is the type of polynomial 3x⁴ + 2x² + 5x ?

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

178.

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

179.

Subtract: (2a² + 5a + 3) - (a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

180.

x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

181.

10x(2x²+3x+4)

a)

20x³+30x²+40x

b)

20x²+30x+40

c)

12x³+13x²+14x

d)

12x²+13x+14

182.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

183.

$Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$

a)

$\frac{4c^6}{a^2}$

b)

$\frac{1a^2c^6}{4}$

c)

$\frac{1c^6}{4a^2}$

d)

$\frac{1a^2}{4c^6}$

184.

The distance between Raleigh and Los Angeles is 2542 miles. What is the place value of the digit 5?

a)

Thousand

b)

Hundred

c)

Whole

d)

Ten

185.

Full time tuition at Duke University is $55960 per year. Round this number to the nearest hundred.

a)

$56000

b)

$55960

c)

$60000

d)

$55900

186.

Compare

19567 (a) 19467

Choose from the below words

>

=

<

187.

A football field is 160 feet wide by 360 feet in length. What is the distance around the field?

a)

1040

b)

57600

c)

520

d)

880

188.

A caterer needs to make 645 meals for a business meeting. She made 432 meals. How many more meals does she need to make?

a)

213

b)

302

c)

1077

d)

265

189.

Kimberly is driving 1323 miles Wichita to Charleston. She drives 443 miles the first day and 409 miles the second day. Round each distance to the nearest ten (including the distance from Wichita to Charleston) and estimate how many miles Kimberly has left to drive.

a)

473

b)

470

c)

471

d)

400

190.

A rectangular room has a length of 14 feet and a width of 12 feet. What is the area of the room?

a)

168

b)

160

c)

170

d)

169

191.

A chicken farm sold 59 cartons of eggs, each containing 12 eggs. Round to the nearest ten to estimate the total number of eggs sold.

a)

708

b)

710

c)

700

d)

709

192.

Which situation would not have a solution if you wanted to know how many pieces of candy each person would receive?

a)

Zero pieces of candy split equally among 4 people

b)

Four pieces of candy split among zero people

c)

Four pieces of candy split among four people

d)

Four pieces of candy gave away to one person

193.

What is the quickest way to simplify $\frac{3200}{100}$ mathematically?

a)

Cancel the zeros

b)

Put it in the calculator

c)

Pray god

d)

I missed class that day

194.

A car dealer needs to move 260 cars and a transport truck can hold 8 cars. How many truck will the car dealer need to transport the cars?

a)

32

b)

33

c)

32.5

d)

god knows

195.

A car dealer needs to move 260 cars and a transport truck can hold 8 cars. How many truck will be full?

a)

32

b)

33

c)

32.5

d)

I skipped class that day

196.

A car dealer needs to move 260 cars and a transport truck can hold 8 cars. How many cars will be on the final transport truck?

a)

5

b)

0.5

c)

4

d)

help!

197.

Identify the property.

12+ (3 + 4) = ( 12+ 3) + 4

a)

additive inverse

b)

additive identity

c)

commutative

d)

associative

198.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

199.

Identify the property.
12+ (3 + 4) = ( 12+ 3) + 4

a)

Additive Inverse

b)

Additive Identity

c)

Commutative

d)

Associative

200.

Determine the value of $5^3$

a)

$5\cdot5\cdot5=15$

b)

$5\cdot5\cdot5=125$

c)

$5+5+5=15$

d)

$5+5+5=125$

201.

simplify $\sqrt{64}$

a)

8

b)

-8

c)

6

d)

-6

202.

$20+\left(13-7\right)-\frac{6^2}{\sqrt{9}}$

a)

14

b)

12

c)

22

d)

10

203.

Simplify $2^5\div\left(40-10+2\right)$

(a)

204.

Change $4\frac{3}{4}$ from a mixed number to an improper fraction

a)

$\frac{19}{4}$

b)

$\frac{11}{4}$

c)

19

d)

11

205.

Change $\frac{47}{7}$ from an improper fraction to a mixed number

a)

$6\frac{5}{7}$

b)

$5\frac{6}{7}$

c)

$5\frac{7}{6}$

d)

$7\frac{5}{6}$

206.

Choose the number that 426 is divisible by:

2, 3, 4, 5, 6, 9, 10

(a) (b) (c)

Choose from the below words

2

3

6

4

5

9

10

207.

Simplify $\frac{54}{72}$ to its lowest terms.

a)

$\frac{3}{4}$

b)

$\frac{9}{12}$

c)

$\frac{2}{3}$

d)

$\frac{6}{8}$

208.

If a Banana Bread recipe calls for $2\frac{1}{3}$ cups of mashed overripe bananas, how much is needed if the recipe is tripled?

a)

$\frac{7}{3}$

b)

7

c)

$\frac{6}{3}$

d)

6

209.

Divide and write the answer as a simplified mixed number:

$4\frac{4}{5}\div\frac{2}{3}$

a)

8

b)

$\frac{16}{3}$

c)

16

d)

15

210.

Imani has 16 pounds of ground beef. How many $\frac{1}{4}$ pound hamburgers can she make?

a)

64

b)

4

c)

16

d)

20

211.

What is the least common denominator for $\frac{3}{4}$ and $\frac{1}{6}$ ?

a)

6

b)

4

c)

8

d)

12

212.

A trawler caught $\frac{2}{3}$ ton of fish on Monday and $\frac{1}{2}$ ton of fish on Tuesday. What is the total amount of fish caught?

a)

$\frac{7}{6}$ ton

b)

$\frac{3}{5}$ ton

c)

$\frac{1}{4}$ ton

d)

$\frac{2}{6}$ ton

213.

Marquis has 7 cups of yogurt. He gives his sister $3\frac{3}{5}$ cups of yogurt, how much of Marquis's yogurt remains? Convert to mixed fraction.

a)

$\frac{17}{5}$

b)

$3\frac{2}{5}$

c)

$3\frac{3}{5}$

d)

$\frac{18}{5}$

214.

A tax accountant requires $2\frac{1}{2}$ hours to prepare a personal tax return and $4\frac{7}{8}$ hours to prepare a small business tax return. How long does it take the accountant to prepare tax for both person and a small business.

a)

$\frac{59}{8}$

b)

$\frac{19}{8}$

c)

$\frac{5}{2}$

d)

$\frac{39}{8}$

215.

Write $two\ hundred\ fifty-seven\ and\ nine\ tenth$ in decimal notation.

(a)

216.

Express $6\frac{2}{5}$ as a decimal.

(a)

217.

Compare 45.112 (a) 45.15

Choose from the below words

<

>

=

218.

A medical syringe is marked using the tenths place. If a dosage of medicine prescribed is 1.325mL, what is the amount given rounded to the tenths place?

(a)

219.

Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and $81.34 for his cell phone bill. He also received a shopping refund for $52.13. How much does he have in his current account?

a)

$346.19

b)

$241.93

c)

$404.61

d)

$412.39

220.

Xavier's new car uses 25 gallons for 525 miles, approximately how many miles does it travel per gallon? (simplify)

a)

$\frac{25\ miles}{525\ gallon}$

b)

$\frac{525\ miles}{25\ gallon}$

c)

$\frac{1\ miles}{21\ gallon}$

d)

$\frac{21\ miles}{1\ gallon}$

221.

Marcus earns $9.75 an hour and he works for 32 hours for one week. Calculate his pay for the week.

a)

$312

b)

$328

c)

$330

d)

$315

222.

Tyrone wants to remodel his bathroom floor using 168 tiles. If one tile costs $7.51, estimate the total cost for the tile project.

a)

$1261.68

b)

$1262.73

c)

$1263.12

d)

$1260.05

223.

A club supports five teams and wants to divide its $4152 budget equally among them. Estimate how much money each team will receive.

a)

$830.4

b)

$831.82

c)

$841.32

d)

$803.5

224.

A farm has 28 chicken, 12 cows and 6 horses. What is the ratio of horses to total animals? (simplify)

a)

$\frac{3}{23}$

b)

$\frac{3}{20}$

c)

$\frac{6}{46}$

d)

$\frac{6}{40}$

225.

An 6 fluid ounces bottle of lotion costs $24, what is the price per fluid ounce?

a)

$\frac{\$24}{6\ ounce}$

b)

$\frac{6\ ounces}{\$24}$

c)

$\frac{\$4}{1\ ounce}$

d)

$\frac{1\ ounce}{\$4}$

226.

Match the correct equivalent fraction.

$\frac{42}{72}$ = (a) $\frac{36}{96}$ = (b)

Choose from the below words

$\frac{7}{12}$

$\frac{3}{8}$

$\frac{6}{16}$

$\frac{14}{24}$

227.

Write $\frac{17}{20}$ as percentage.

a)

0.85

b)

$\frac{0.85}{100}$

c)

$0.17$

d)

85

228.

What is 20% of 340?

a)

6800

b)

68

c)

17

d)

1700

229.

Cody's new car cost $15,200. Determine the total price of the car if the sales tax is 7%.

a)

$1064

b)

$14,136

c)

$2171

d)

$12,542

230.

Molly and Susan went to lunch at a restaurant. Their check came to $32. They want to leave an 18% tip. What is the total cost of their meal?

a)

$5.76

b)

$37.76

c)

$6

d)

$38

231.

On a 75-question multiple choice test, Nina answered 64 questions correctly. What was her percentage score? Round to the whole number.

a)

0.85

b)

85

c)

87

d)

0.87

232.

Fran is training for a cycle race. In the first week, she cycle 195 miles. In the second week, she manages 243 miles. What is the percent increase in distance?

a)

48

b)

24

c)

19

d)

32

233.

Lorrie bought $3\frac{1}{2}$ yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner. How many inches of ribbon did Lorrie use for the banner?

Knowing 1 feet is 12 inches, 1 yard is 3 feet.

a)

$\frac{7}{2}$

b)

126

c)

96

d)

54

234.

How many inches is 5 feet 3 inches?

knowing 1 feet is 12 inches

a)

63

b)

60

c)

36

d)

18

235.

A moving company charges $0.40 per pound. A family estimates that their belongings weigh about 3 tons. About how much would it cost the family to move their belongings? knowing 1 ton is 2000 pounds.

a)

$2,400

b)

$1,500

c)

$2,600

d)

$1,900

236.

what is the formula for finding the hypotnuse?

a)

a²+ b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c²-a²=b

237.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

238.

Classify each set of numbers

{0, 1, 2, 3,...} (a)

{1, 2, 3, 4,...} (b)

{-3, -2, -1, 0, 1, 2, 3,...} (c)

Choose from the below words

Whole numbers

Natural numbers

Integers

Complex numbers

239.

Evaluate |-4|

a)

4

b)

-4

c)

2

d)

-2

240.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

241.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

242.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

243.

What is the perimeter of this shape?

a)

45 cm

b)

98 cm

c)

49 cm

d)

56 cm

244.

What is the area of this shape?

a)

136

b)

88

c)

148

d)

78

245.

Using the perimeter formula of a rectangle, P = 2l+2w, find the perimeter of the rectangle given the length is 42 feet and the width is 26 feet.

a)

136

b)

78

c)

148

d)

88

246.

Label each number below as rational or irrational:

$\sqrt{3}$ (a)

$-0.\overline{21}$ (b)

$6.175$ (c)

Choose from the below words

irrational

rational

247.

Label True of False:

$2.6<-6.2$ (a)

$1.23>-1.32$ (b)

$1.612>1.621$ (c)

$4.125<4.125$ (d)

Choose from the below words

False

True

248.

Simplify:

$-52+\left(-30\right)+\left(-13\right)$

a)

95

b)

35

c)

-95

d)

-35

249.

Simplify

$-2-\left(-5\right)+\left(-15\right)-8$

a)

-20

b)

-30

c)

-15

d)

-10

250.

Evaluate $x+27$ when $x=-12$

a)

15

b)

39

c)

52

d)

28

251.

Evaluate $15-2x$ when $x=-2$

a)

11

b)

19

c)

13

d)

4

252.

A deep sea diver dives from the water's surface to 240 meters below the surface, swims down another 12 meters and then swims up 80 meters. Determine the diver's depth after these movements.

a)

172

b)

-172

c)

308

d)

-308

253.

The highest tempertature recorded in North Carolina was 110F in 1983. The lowest termperature recorded was -34F in 1985. What is the difference in the temperatures recorded?

a)

76

b)

144

c)

85

d)

no solution

Final exam

Total questions: 253

Worksheet time: 8hrs 18mins

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