Free Printable Alg 1B S1 Final Review

1.

$\frac{x}{3}=10$

a)

x = 30

b)

x = 13

c)

x = 7

d)

x = 3.33

2.

$\frac{2}{3}x\ =20$

a)

x = 30

b)

x = 23

c)

x = 35

d)

x = 19

3.

Which operations are inverses of each other?
+, -, $\times,\ \div$

a)

+, -

b)

+, $\div$

c)

-, x

d)

$\div$ , x

4.

Which property of equality would you use to solve the equation 14x = 56?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

5.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

6.

x + 4 = -3

a)

-1

b)

4

c)

-7

d)

8

7.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

8.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

9.

-60 = 5a

a)

a = 12

b)

a = -12

c)

a = 300

d)

a = -300

10.

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

a)

$x=0$

b)

$x=12$

c)

$x=-3$

d)

$x=-6$

11.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

12.

$\frac{x}{-11}+8=6$

a)

$x=-22$

b)

$x=1$

c)

$x=11$

d)

$x=22$

13.

14x-10=4

a)

$x=-8$

b)

$x=10$

c)

$x=1$

d)

$x=-14$

14.

-2x-1=-7

a)

$x=-3$

b)

$x=7$

c)

$x=3$

d)

$x=-8$

15.

$-6x-4=8$

a)

$x=-10$

b)

$x=14$

c)

$x=6$

d)

$x=-2$

16.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

17.

4(x+9)=20

a)

x=-4

b)

x=4

c)

x=14

d)

x=-14

18.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

19.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

20.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

21.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

22.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

23.

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

24.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

25.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

26.

Solve:
-8(x - 3) - 4x < 108

a)

x > -38

b)

x > -14

c)

x > -7

d)

x < -38

27.

-3n + 8 > 29

a)

n > 7

b)

n < -7

c)

n > -7

d)

n < 7

28.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

29.

16 - 4a > 8

a)

a<-2

b)

a>-2

c)

a<2

d)

a>2

30.

Solve: |x+5| < 9

a)

-14 < x < 4

b)

x > -14 or x < 4

c)

-4 < x < 4

d)

x > -4 or x < 14

31.

Solve |x| + 7 > 16

a)

-9 < x < 9

b)

x > 9 or x < -9

c)

x > 9 or x < -9

d)

-9 ≤ x < 9

32.

Solve |x - 4|- 3 < 5

a)

-12 < x < 12

b)

No solution

c)

-4 < x < 12

d)

x > -4 or x < 12

33.

0 < x + 7 < 9

a)

-7 < x < 2

b)

2 < x < -7

c)

5 < x < 12

d)

-7 > x > 2

34.

x + 2 < -4 or -5x < -15

a)

-6 < x < 3

b)

x < -3 and x > 6

c)

x < -6 or x > 3

d)

No Solution

35.

2 < 3x - 12 < 5

a)

$\frac{14}{3}\ <\ x\ <\ \frac{17}{3}$

b)

$\frac{3}{14}\ <\ x\ <\ \frac{3}{17}$

c)

$4\ <\ x\ <3$

d)

$42\ <\ x\ <\ 51$

36.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

37.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

38.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

39.

Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
the height of a tree over time

a)

Continuous; a tree grows gradually, not in steps, so this situation is continuous.

b)

Continuous; a tree grows in steps, so this situation is continuous.

c)

Discrete; a tree stops growing at a certain age, so this situation is discrete.

d)

Discrete; a tree never stops growing, so this situation is discrete.

40.

Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
The money raised from a raffle with a $200 prize where the tickets cost $2.50 per person.

a)

Continuous; the money raised depends on the number of tickets sold, and since any number of tickets can be sold, this situation is continuous.

b)

Discrete; the money raised depends on the number of tickets sold, and since only a whole number of tickets can be sold, this situation is discrete.

c)

Continuous; the money raised depends on the number of tickets sold, and since a person can buy more than one ticket, this situation is continuous.

d)

Discrete; the $200 prize is a whole number, so the situation is discrete.

41.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

42.

Which graph best represent

y = 2x + 4

a)

b)

c)

d)

43.

Which of the following tables represents the following graph?

a)

b)

c)

d)

44.

Identify the function rule that best represents the following statement:
The total cost (C) for kilograms of beef (k) if each kilogram costs $2.55

a)

C = 2.55k

b)

C = 2.55 + k

c)

C = 2.55 - k

d)

C = 2.55k + 2.55

45.

What is the rate of change of the graph?

a)

$3.5,\ \frac{7}{2}$

b)

$1.67,\ \frac{5}{3}$

c)

$0.6,\ \frac{3}{5}$

d)

$-1.67,\ -\frac{5}{3}$

46.

The graph of the linear function is shown on the grid. What is the rate of change?

a)

$\frac{1}{5}$

b)

$-\frac{1}{5}$

c)

$5$

d)

$-5$

47.

Calculate the rate of change.

a)

6

b)

1/6

c)

-6

d)

-1/6

48.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

49.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

50.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

51.

The graph of a linear function is always straight?

a)

true

b)

false

52.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

53.

Which of these following is not a type of slope

a)

positive

b)

negative

c)

undefined

d)

all of these are types of slope

54.

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

a)

6

b)

5

c)

y

d)

-6

55.

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

56.

whats the slope of the function y=2/3x+6

a)

2/3

b)

3/2

c)

6

d)

-4

57.

Find the slope:
(-1,-9) and (5, -6)

a)

-15/4

b)

1/2

c)

-3/6

d)

11/3

58.

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

a)

5/4

b)

-10/8

c)

Zero

d)

Undefined

59.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

60.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

61.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

62.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -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)

63.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

64.

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

d)

y=kx

65.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

66.

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

67.

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

68.

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

69.

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

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

70.

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

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

71.

What are the x- and y-intercepts of the linear function given by the equation x + y = -2

a)

(-2, -2)

b)

(-2, 0) and (0, -2)

c)

(0, 0)

d)

(2, 0) and (0, 2)

72.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

73.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

74.

Describe the transformation from the Absolute Value Parent Function.

a)

Shift up 4 units

b)

Shift down 4 units

c)

Shift left 4 units

d)

Shift right 4 units

75.

Describe the transformations of the absolute value equation.

a)

Flips to A shape, compresses wider, shifts right 1 unit

b)

Flips to A shape, compresses wider, shifts up 1 unit

c)

Flips to A shape, stretches more narrow, shifts right 1 unit

d)

Flips to A shape, stretches more narrow, shifts up 1 unit

76.

Which function shows horizontal translation and a vertical stretch?

a)

f(x) = -2|-x |

b)

f(x) = -3|x| - 7

c)

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

d)

f(x) = 5|x - 4| - 1

77.

Which function is graphed?

a)

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

b)

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

c)

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

d)

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

78.

Solve:

y = -1x - 5

4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

79.

What is the solution to this system?

x= 7 - 2y

2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

80.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

81.

a)

(1, 4)

b)

(4, 1)

c)

(1, -4)

d)

(-4, 1)

82.

a)

(-5, -9)

b)

(9, 5)

c)

(5, 9)

d)

(-9, -5)

83.

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(2, -3)

84.

Solve the system

3x - 2y = 2

5x - 5y = 10

a)

No Solution

b)

x = -2

c)

( 2 , 4 )

d)

( -2 , -4 )

85.

$A=1000\left(1+\frac{0.035}{12}\right)^{12\left(6\right)}$ is an example of

a)

Compound Interest

b)

Decay Factor

c)

Exponential Decay

d)

Exponential Function

86.

$b=1-0.7$ is an example of

a)

Exponential Growth

b)

Decay Factor

c)

Exponential Decay

d)

Exponential Function

87.

$y=25\left(0.75\right)^x$ is an example of

a)

Exponential Growth

b)

Growth Factor

c)

Exponential Decay

d)

Exponential Function

88.

$f\left(x\right)=10\left(1.2\right)^x$ is an example of

a)

Exponential Growth

b)

Growth Factor

c)

Index

d)

Exponential Function

89.

$y=0.5\left(3.05\right)^x$ is an example of

a)

Exponential Growth

b)

Growth Factor

c)

Index

d)

Compound Interest

90.

$A\left(n\right)=3\left(\frac{1}{2}\right)^{n-1}$ is an example of

a)

Geometric Sequence

b)

Growth Factor

c)

Index

d)

Compound Interest

91.

$b=1+0.7$ is an example of

a)

Decay Factor

b)

Growth Factor

c)

Index

d)

Compound Interest

92.

The 5 in $^5\sqrt{1024x^3}$ is an example of

a)

Decay Factor

b)

Exponential Decay

c)

Index

d)

Compound Interest

93.

If a star has a diameter of $1.8083\times10^4$ , use the formula $4\pi r^2$ to find the surface area.

a)

$1.64\times10^{10}\ \ km^2$

b)

$2.27\times10^{5\ \ }km^2$

c)

$1.03\times10^7\ \ km^2$

d)

$1.03\times10^9\ \ km^2$

94.

Simplify $\left(2\times10^{-10}\right)\left(3\times10^{-8}\right)$ .

a)

$6\times10^{-18}$

b)

$6\times10^{-19}$

c)

$6\times10^{-20}$

d)

$6\times10^{-17}$

95.

What is $6.37\times10^{36}$ kg divided by $1.99\times10^{30}$ kg?

a)

$3.2\times10^8$

b)

$3.2\times10^3$

c)

$3.2\times10^6$

d)

$3.2\times10^4$

96.

A Quip is worth $17,350, but will decrease in value by 14% per year. How much will is be worth in 6 years?

a)

$7,019.24

b)

$17,266.00

c)

$38,082.78

d)

$6,036.55

97.

What is the recursive formula for the geometric sequence? $a_1=-2,\ a_2=6,\ a_3=-18,\ ...$

a)

$a_1=-2,\ a_n=-3+a_{n-1}$

b)

$a_1=-2,\ a_n=-3\cdot a_{n-1}$

c)

$a_n=-2+a_{n-1}$

d)

$a_n=-2\cdot a_{n-1}$

98.

What type of function is modeled by the ordered pairs?

(1, 10), (2, 20), (3, 40), (4, 80)

a)

linear

b)

quadratic

c)

exponential

d)

logarithmic

99.

What type of function is modeled by the rule? $y=-3\cdot2^x$

a)

linear

b)

quadratic

c)

exponential

d)

logarithmic

100.

What is the balance in an account with a $5,000 principal earning 3%, compounded quarterly, after 35 years.

a)

$14,232,38

b)

$14,069.31

c)

$721,000.00

d)

$6,494.52

101.

Simplify $\frac{3}{a^{-4}b^2}$

a)

$\frac{3a^4}{b^2}$

b)

$\frac{3}{a^4b^2}$

c)

$\frac{12a}{b^2}$

d)

$\frac{3}{ab^{-2}}$

102.

Simplify $27^{\frac{1}{3}}$

a)

27

b)

81

c)

3

d)

$27^3$

103.

Simplify.
4a^-2 ⋅ 2ab³

a)

8b³/a³

b)

4b³/a

c)

6b³/a

d)

8b³/a

104.

Simplify
$^4\sqrt{625}$

a)

625

b)

$\sqrt{625^4}$

c)

5

d)

$625^4$

105.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

106.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

107.

Simplify
$\frac{y^{\frac{7}{3}}}{y^2}$

a)

$\frac{1}{y^{\frac{14}{3}}}$

b)

$y^{\frac{14}{3}}$

c)

$y^{\frac{1}{3}}$

d)

$\frac{1}{y^{\frac{1}{3}}}$

108.

$\left(\frac{5m^4}{2p^3}\right)^3$

a)

$10m^{12}p^9$

b)

$\frac{125m^{12}}{8p^9}$

c)

$\frac{15m^{12}}{6p^9}$

d)

$\frac{125m^{12}}{2p}$

109.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

110.

Is this exponential growth or decay?

a)

Growth

b)

Decay

111.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

112.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

113.

$2d^2d^5$

a)

$d^7$

b)

$2d^7$

c)

$2d^{10}$

d)

$4d^7$

114.

$\left(ab^3\right)^2$

a)

$\frac{27a^3}{b^3}$

b)

$-\frac{1}{64a^6b^{12}}$

c)

$\frac{1}{3a^4}$

d)

$a^2b^6$

115.

$-2n^{-2}\cdot2m^{-2}n^2$

a)

$-8m^3n^4$

b)

$12mn$

c)

$2m^8$

d)

$-\frac{4}{m^2}$

116.

$\left(-4yx^{-4}\right)^{-2}$

a)

$\frac{x^8}{16y^2}$

b)

$\frac{1}{9x^2}$

c)

$-8x^{12}y^6$

d)

$16x^4$

117.

$\left(\frac{2x^4}{5y^5}\right)^{-2}$

a)

$\left(\frac{25y^{10}}{4x^8}\right)$

b)

$\left(\frac{-4x^8}{-25y^{10}}\right)$

c)

$\left(\frac{2y^{10}}{5x^8}\right)$

d)

$\left(\frac{2x^8}{5y^{10}}\right)$

118.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

119.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

120.

Simplify the expression x⁵x⁷

a)

x³⁵

b)

x¹²

c)

x²

d)

x^-2

121.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

122.

SImplify:
3² × 3³³ =

a)

3⁶⁶

b)

3³³

c)

3³⁵

d)

3^-31

123.

a)

y³/8

b)

y³/24

c)

y/24

d)

y³/8³

124.

Simplify (8y³)⁶

a)

8y¹⁸

b)

8⁶y¹⁸

c)

48y¹⁸

d)

8y⁹

125.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

126.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

127.

(2²y³)⁵

a)

2⁷y⁸

b)

256y⁸

c)

1024y¹⁵

d)

None

128.

Simplify (x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

129.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

130.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

131.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

132.

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

a)

$2^5$

b)

$2^6$

c)

$2^{10}$

d)

$2^4$

133.

$y^5\cdot y^9\cdot y^2$

a)

$16y$

b)

$y^{16}$

c)

$12y$

d)

$y^{12}$

134.

$\frac{15x^9}{3x^6}$

a)

$12x^3$

b)

$5x^3$

c)

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

d)

$\frac{1}{12x^3}$

135.

$\left(y^7\right)^4$

a)

$y^{11}$

b)

$y^{28}$

c)

$11y$

d)

$28y$

136.

$\left(10m^4\right)^8$

a)

$10m^{12}$

b)

$10^8m^{12}$

c)

$10^8m^{32}$

d)

$10m^{32}$

137.

$\left(wxyz\right)^6$

a)

$w^6x^6y^6z^6$

b)

$wxyz^6$

c)

$wx^3yz^3$

d)

$w^2x^2y^2z$

138.

$4^{-5}$

a)

$\frac{1}{20}$

b)

$-\frac{1}{20}$

c)

$\frac{1}{4^5}$

d)

$-\frac{1}{4^5}$

139.

$\frac{1}{y^{-6}}$

a)

$y^6$

b)

$-y^6$

c)

$-6y$

d)

$\frac{1}{-6y}$

140.

$6z^{-3}$

a)

$\frac{1}{6z^3}$

b)

$\frac{1}{-6z^3}$

c)

$\frac{6}{z^3}$

d)

$-\frac{6}{z^3}$

141.

$\frac{x^{-9}}{x^{10}}$

a)

$\frac{x^{10}}{x^9}$

b)

$\frac{x^9}{x^{10}}$

c)

$\frac{1}{x}$

d)

$\frac{1}{x^{19}}$

142.

$x^0$

a)

1

b)

0

c)

x

d)

100

143.

$\left(5y\right)^0$

a)

5

b)

5y

c)

1

d)

0

144.

$9t^0$

a)

1

b)

t

c)

9

d)

0

145.

Name the polynomial by degree and number of terms.
x²+ 2x - 8

a)

cubic trinomial

b)

quadratic binomial

c)

quadratic trinomial

d)

cubic binomial

146.

What is the degree of the monomial?
x⁵y⁸

a)

5

b)

8

c)

13

d)

40

147.

Write this polynomial in standard form
7 - 2x + 6

a)

-2x + 13

b)

-2x - 1

c)

2x - 13

d)

2x + 1

148.

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

149.

What does FOIL stand for?

a)

F = First ; O = Outside ; I = Inside ; L = Left

b)

F = First ; O = Outer ; I = Inner ; L = Left

c)

F = Finish ; O = Ouside ; I = Inside ; L = Last

d)

F = First ; O = Outer ; I = Inner ; L = Last

150.

Which is quadratic?

a)

x³ + x² + 5

b)

x^quadratic

c)

x² - 1

d)

q⁴ + 2q + q + 4

151.

A biped (two-legged chicken) is looking for a binomial... which is it?

a)

x² + 3x

b)

x² - x - 1

c)

√49

d)

w²

e)

x^1/2 + 1

152.

Which one is a 4th degree trinomial?

a)

x⁴ + x³ + 16

b)

x² + 2x + 1

c)

3(x⁴)

d)

x³ + 3x²

153.

Which is a monomial and why?

a)

x^1/3 is a monomial because 1/3 is a fraction and fraction's are awesome

b)

3x^-7 is a monomial because 7 is a nice number

c)

x¹ is a monomial because there is a positive whole-number exponent

d)

x⁷ is a monomial because there is an x

154.

Add these monomials:

3x² - 7x² + 9x²

a)

5x⁶

b)

19x⁴

c)

19x²

d)

5x²

e)

7x⁴

155.

Which of these are NOT in standard form? (there's more than one)

a)

x² + 4x + 2

b)

x³ - 1

c)

x³ + 4x + 5x² + 1

d)

x - 1

e)

1 - x

156.

use mental math (product of a sum and difference) to calculate $37\cdot43$

a)

$\left(40-3\right)\left(40+3\right)$
$=40^2-3^2=1591$

b)

$\left(30+7\right)\left(50-7\right)$
$=30^2-7^2=851$

c)

$null$
$=50^2-7^2=2451$

157.

use mental math (squaring a binomial) to calculate $42^2$

a)

$\left(40+2\right)^2$
$=40^2+2\left(40\right)\left(2\right)+2^2=1764$

b)

$\left(40+2\right)\left(40+2\right)$
$=40^2-2^2=1596$

c)

$\left(50-8\right)^2$
$=50^2+2\left(50\right)\left(8\right)+8^2=3364$

158.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

159.

Multiply.
-3x²(7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

160.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

161.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

162.

Factor the polynomial.
x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

x+2)(x+5)

163.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

164.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

165.

(4a + 2)(6a² − a + 2)

a)

24a³ + 16a² + 6a + 4

b)

24a³ + 8a² + 10a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ - 8a² - 6a + 4

166.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

167.

Multiply
(x+5)²

a)

x²+25

b)

x²-25

c)

x²+10x+25

d)

x²-10x+25

168.

Factor
$x^2-10x+9$

a)

$\left(x-1\right)\left(x-9\right)$

b)

$\left(x+5\right)\left(x+4\right)$

c)

$\left(x-5\right)\left(x-4\right)$

d)

$\left(x+1\right)\left(x+9\right)$

169.

Factor:
$x^2-3x-10$

a)

$\left(x+2\right)\left(x-5\right)$

b)

$\left(x-2\right)\left(x+5\right)$

c)

$\left(x-2\right)\left(x-5\right)$

d)

$\left(x+2\right)\left(x+5\right)$

170.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

171.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

172.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

173.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

174.

Factor, if possible:
64x²-16x+1

a)

Not factorable.

b)

(32x-1)²

c)

(8x+1)²

d)

(8x-1)²

Alg 1B S1 Final Review

Total questions: 174

Worksheet time: 7hrs 55mins

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