Free Printable Alg I CT Sem 2 Exam

1.

Which graph represents the solution to: $y+7≥12$ ?

a)

b)

c)

d)

2.

Which graph represents the solution to: $28>m-4$ ?

a)

b)

c)

d)

3.

Solve: $-3>\frac{x}{4}$

(a)

4.

Solve: $8x<48$

a)

$x<-6$

b)

$x>-6$

c)

$x<6$

d)

$x>6$

5.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

6.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

7.

Solve the inequality
x - 2 < 5

a)

x < 3

b)

x ≥ 7

c)

x < 7

d)

x ≤ 7

8.

Solve the inequality
12 ≥ 6w

a)

w > 2

b)

w < 2

c)

w ≥ 2

d)

w ≤ 2

9.

7n > 49

a)

n > 7

b)

n < 7

c)

n > 343

d)

n < 343

10.

m ⁄ 7 > -14

a)

m > -98

b)

m < -98

c)

m > -2

d)

m < -2

11.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

12.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

13.

Match the inequality statement to the appropriate graph.

$x>6.5$

a)

b)

c)

d)

e)

14.

Match the inequality statement to the appropriate graph.

$-\frac{1}{2}\ge x$

a)

b)

c)

d)

e)

15.

Match the inequality statement to the appropriate graph.

$6.5>x$

a)

b)

c)

d)

e)

16.

Evaluate whether the value makes a true or false statement.

$k+6\ge19$ if $k=11$

a)

This is a true statement.

b)

This is a false statement.

17.

Evaluate whether the value makes a true or false statement.

$16<b+8$ if $b=22$

a)

This is a true statement.

b)

This is a false statement.

18.

Solve the inequality below. Type the answer without any spaces.

$-\frac{x}{2}>10$

(a)

19.

Solve the inequality below. Type the answer without any spaces.

$x-12>12$

(a)

20.

A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What inequality describes the amount of potatoes the chef needs to buy?

a)

x - 7 > 14

b)

x + 7 > 14

c)

x - 7 < 14

d)

x + 7 < 14

21.

Does the sign need to flip when solving?
8y < (-40)

a)

YES

b)

NO

22.

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

23.

1.8m ≥ -5.4

a)

m ≥ -3

b)

m ≤ -3

c)

m ≥ -9.72

d)

m ≤ -9.72

24.

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

a)

x - 134 < 400

b)

x + 134 < 400

c)

x - 134 ≤ 400

d)

x + 134 ≤ 400

25.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

26.

Solve the inequality.

a)

x ≤ 6

b)

x ≥ 6

c)

x ≤ -6

d)

x ≥ -6

27.

Level 3.

Solve the inequality. Graph the solution.

y+5 ≥ 2

a)

b)

c)

d)

28.

Level 3

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)

A

b)

B

c)

C

d)

D

29.

$Does\ x\ge5\ have\ an\ open\ or\ closed\ circle?\$

a)

Opened

b)

Closed

30.

$Does\ the\ arrow\ for\ the\ graph\ of\ x\ge5\ go\ to\ the\ left\ or\ the\ right\ of\ 5?\$

a)

Left

b)

Right

31.

Solve the inequality.

5>n-3

a)

$8<n$

b)

$8>n$

c)

$2>n$

d)

$2<n$

32.

Solve the inequality.

-7y\le14

a)

$y\le-2$

b)

$y\ge-2$

c)

$y\le2$

d)

$y\ge2$

33.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

34.

15 > -5 + z

a)

z < 20

b)

z > 20

c)

z > 10

d)

10 > z

35.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

36.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

37.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

38.

Which inequality is represented by this graph?

a)

2.75 > d

b)

2.75 < d

c)

2.75 ≥ d

d)

2.75 ≤ d

39.

Solve
(n/3) > -20

a)

n > 60

b)

n < -17

c)

n > -60

d)

n < -23

40.

Is the given value a solution to the inequality?

x(x - 7) < 5 ; 4

a)

Yes

b)

No

41.

3x - 5 > -26

a)

x < -7

b)

x > -7

c)

x > 7

d)

x < 7

42.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

n > -14

43.

6x + 10 > 5x - 12

a)

x > 2

b)

x < -2

c)

x < -22

d)

x > -22

44.

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

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

45.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ -4

d)

No solution

46.

Graph the solution set of the inequality.

–4n + 1 > –23

a)

b)

c)

d)

47.

Graph the solution set of the inequality.

2n + 4 < 16

a)

b)

c)

d)

48.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

49.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

50.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

51.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

52.

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

a)

x > -38

b)

x > -14

c)

x > -7

d)

x < -38

53.

Solve. 5 - (x - 4) > -2

a)

x > 11

b)

x < 11

c)

x > -11

d)

x < -11

54.

-4x + 9 - x < -3

a)

x > 2.4

b)

x < 2.4

c)

x > -2.4

d)

x < -2.4

55.

3x − (2 + 6x) ≤ -32

a)

x ≥ 10

b)

x< -10

c)

x ≥ -10

d)

All real numbers

56.

Solve:

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

57.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

58.

$−5(2𝑥+2)+5x>15$

a)

$x<-5$

b)

$x<5$

c)

$x>5$

d)

$x>-5$

59.

Solve:

3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

60.

-p − 4p > -10

a)

p > -2

b)

p > 2

c)

p < -2

d)

p < 2

61.

Solve: -8(x - 3) < 56

a)

x > -10

b)

x < -4

c)

x > -4

d)

x < -10

62.

Solve the inequality

a)

x ≥ -7

b)

x ≤ -7

c)

x ≤ -15

d)

x ≥ -15

63.

$-4\left(x+3\right)\ge3\left(x-4\right)$

a)

$x\ge0$

b)

No Solution

c)

$x\le0$

d)

Many Solutions

64.

$3\left(1-2x\right)>3-6x$

a)

Many Solutions

b)

$x>3$

c)

No Solution

d)

$x<3$

65.

$-2\left(5+6x\right)<6\left(8-2x\right)$

a)

$x<48$

b)

Infinitely Many Solutions

c)

$x>-10$

d)

No Solution

66.

When solving inequalities, if you multiply or (a) both sides by a (b) number, you must (c) the (d) symbol.

Choose from the below words

divide

negative

flip

inequality

add

positive

equal

67.

Solve.

$-8x+7<15$

a)

$x>1$

b)

$x<1$

c)

$x>-1$

d)

$x<-1$

68.

Solve.

$17\le-2m-3$

a)

$-10\ge m$

b)

$-10\le m$

c)

$-7\ge m$

d)

$-7\le m$

69.

6x + 2 < 6x - 14

a)

No Solution

b)

Infinite Solutions

c)

x < -1

d)

x > 16

70.

Which inequality has the solution that matches the given graph?

a)

2x + 1 < 6

b)

3(x + 4) - 2x > 15

c)

4x + 7 < 3x + 4

d)

5x - 3x + 4 > -2

71.

Infinite Solutions occur when...

a)

All of the variables cross out and you get a false statement

b)

All of the variables cancel out

c)

All of the variables cross out and you get a true statement

d)

When x is greater than zero

72.

Solve:

4x + 8 > 6x + 10

a)

x < -1

b)

x > -1

c)

x < -2

d)

x > -2

73.

Solve:

30 > -(5x + 15) + 10x

a)

x < 9

b)

x < 3

c)

x > 2

d)

x > 5

74.

Solve:

-(7x - 18) - 2x > 0

a)

x > 2

b)

x < 2

c)

x > 2

d)

x < 2

75.

How do you graph an infinite solution inequality?

a)

You shade the positive side of the number line.

b)

You shade the negative side of the number line

c)

You do not shade anything because no numbers make it true.

d)

You shade the entire number line.

76.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

77.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

78.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

79.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

80.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

81.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

82.

simplify 7^-2

a)

1/49

b)

-49

c)

-14

d)

1/14

83.

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

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

84.

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)

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

85.

$\left(877237646642375623646237\right)^0$

a)

1

b)

0

86.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

87.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

88.

Simplify: 7p⁰

a)

7

b)

1

c)

simplified

d)

7p

89.

Simplify the following: $\left(4x^3\right)^4$

a)

$16x^7$

b)

$4^4x^7$

c)

$256x^{12}$

d)

$16x^{12}$

90.

a)

$\frac{27x^{15}z^3}{y^6}$

b)

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

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

91.

a)

$\frac{16x^{16}z^{32}}{y^{28}}$

b)

$\frac{-16x^{16}z^{32}}{y^{28}}$

c)

$\frac{x^{16}z^{32}}{16y^{28}}$

d)

$-8x^{-8}y^3z^{-12}$

92.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

93.

Simplify so there are no negative exponents in the answer.

\left(x^4\right)^2x^{-3}

a)

$x^5$

b)

$\frac{1}{x^{18}}$

c)

$-x^5$

d)

$\frac{1}{x^{15}}$

94.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

95.

(3y⁶)²(x⁵y²z)

a)

3y¹²x⁵z

b)

3y¹⁴x⁵z

c)

9y¹²x⁵z

d)

9y¹⁴x⁵z

96.

(3c²b)²

a)

6c⁴b²

b)

9c⁴b²

c)

6c⁴b

d)

sam

97.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

98.

Simplify

a)

-1/6

b)

1/6

c)

6

d)

-6

99.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

100.

Solve: (2.1×10²)(3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

101.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

102.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

103.

Simplify:

$\left(3.51\ \cdot10^3\right)^5$

a)

1.755 $\cdot\ 10^{15}$

b)

$5.33\ \cdot\ 10^{15}$

c)

$5.33\ \cdot\ 10^{17}$

d)

$1.755\ \cdot\ 10^{17}$

104.

Multiply (6m³n³)(8m²n³)

a)

48m⁵n⁹

b)

48m⁶n⁶

c)

48m⁵n⁶

d)

none of the above

105.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

106.

Simplify the following expression:

(7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

107.

Solve (hint: there's more than 1 law you must obey)

a)

a¹⁴b¹⁶

b)

(a⁷b)(ab⁸⁾

c)

a¹²b⁴a²b¹²

108.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

109.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

110.

Identify the degree of the monomial: $8a^{11}$

a)

8

b)

1

c)

3

d)

11

111.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

d)

trinomial

112.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

113.

What is the degree of the polynomial
x²-2x+5

a)

1

b)

2

c)

3

d)

0

114.

How many terms does this expression have:
-27a³ + 9a² - 45a

a)

1 term

b)

0 terms

c)

2 terms

d)

3 terms

115.

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

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

116.

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

117.

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

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

118.

Classify by number of terms:

3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

119.

Simplify (-4m³-m+9)-(4m²+m-12)

a)

-4m³-4m²-2m-21

b)

-4m³-4m²-2m+21

c)

-8m³-2m+21

d)

-4m³+4m²+2m+21

120.

Simplify (8xy²+6xy) + (-12x²y+13xy²)

a)

21xy² +12x²y+6xy

b)

21xy² -12x²y-6xy

c)

21xy² +12x²y-6xy

d)

21xy² -12x²y+6xy

121.

a)

3x³+8x

b)

x³+3x²+8x

c)

2x²+8x

d)

x³-3x³+8x²

122.

Which are like terms?

a)

$3x^2y^3\ \ and\ -5x^2y^2$

b)

$2x^3y^4\ \ and\ \ -3x^3y^4$

c)

$5x^2y^2\ \ and\ \ 5x^3y^3$

d)

$2xy\ \ and\ \ 5ab$

123.

$Add:\ \ \left(9x^3+5x^2-3x\right)+\left(4x^3-8x^2+7x\right)$

a)

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

b)

$13x^3-13x^2+4x$

c)

$13x^3-3x^2+4x$

d)

$14x^6$

124.

$Subtract:\ \ \left(3r^4+4r^3\right)-\left(r^4-5r^3\right)$

a)

$2r^4-r^3$

b)

$2r^4-5r^3$

c)

$2r^4+9r^3$

d)

$11r^7$

125.

$Subtract:\ \ \left(6x^4-5x^3+2x^2-8x\right)\ -\ \left(4x^4+5x^3+3x^2+12x\right)$

a)

$10x^4-10x^3-x^2-20x$

b)

$2x^4-10x^3-x^2-20x$

c)

$2x^4-x^2-20x$

d)

$2x^4-20x$

126.

2(x+3)=

a)

2x+3

b)

2x+5

c)

2x+6

d)

x + 6

127.

2x²(x+5)

a)

2x²+5

b)

2x²+10x²

c)

2x³+5

d)

2x³+10x²

128.

10x(2x²+3x+4)

a)

20x³+30x²+40x

b)

20x²+30x+40

c)

12x³+13x²+14x

d)

12x²+13x+14

129.

Simplify:
3x³(2x² + 9x + 6)

a)

6x⁵ + 27x⁴ + 18x

b)

6x⁵ + 18x² + 9

c)

6x⁵ + 27x⁴ + 18x³

d)

6x⁵ + 45x³

130.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

131.

Factor:
2n³+16n+12

a)

2n(n³+24n+6)

b)

2(n³+8n+6)

c)

2n(n³+8n+6)

d)

3(n³+8n+6)

132.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

133.

What is the GCF of 10a²b³ and 20a²b²?

a)

20a²b³

b)

10a²b³

c)

20ab²

d)

10a²b²

134.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

135.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

136.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

137.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

138.

What is the GCF? $x^3+5x^2-22x$

a)

1

b)

x

c)

5x

d)

22

139.

What is the GCF? $6x^2+9x-12$

a)

6x

b)

6

c)

3x

d)

3

140.

What is the GCF? $8x^3-12x^2+8x$

a)

4x

b)

8x

c)

2x

d)

4

141.

What is the GCF? $7x^5+8x^4+3x^3$

a)

$x$

b)

$3x$

c)

$3x^3$

d)

$x^3$

142.

What is the degree of this monomial?

−4xy⁴

a)

1

b)

4

c)

5

d)

-4

143.

What is the degree of the monomial?

2x²y³z

a)

2

b)

3

c)

1

d)

6

144.

What is the degree of the monomial?

2x²y³z

a)

2

b)

3

c)

1

d)

6

145.

Name the expression based on it's degree and number of terms:

$5x^2-2x+3$

a)

trinomial

degree 2

b)

binomial

degree=3

c)

monomial

degree = 1

d)

polynomial

degree =3

146.

What is the x-intercept of the equation shown below?

x+4y=7

a)

$\left(\frac{7}{4},0\right)$

b)

$\left(0,\frac{7}{4}\right)$

c)

$\left(7,0\right)$

d)

$\left(0,7\right)$

147.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

148.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

149.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

150.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

151.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

152.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

153.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

154.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

$\frac{2^2}{z^7}$

c)

$\frac{2^{14}}{z^7}$

d)

2²z⁷

155.

Simplify m¹²/ m³

a)

m⁹

b)

m⁴

c)

m^-9

d)

-m⁹

156.

simplify 7^-2

a)

$\frac{1}{49}$

b)

-49

c)

-14

d)

1/14

157.

5^-3 = 1

a)

True

b)

False

158.

8⁰ = 0

a)

True

b)

False

159.

$3^{-3}$

a)

$27$

b)

$-27$

c)

$\frac{1}{-27}$

d)

$\frac{1}{27}$

160.

$2^{-5}$

a)

$-32$

b)

$32$

c)

$\frac{1}{32}$

d)

$\frac{1}{-32}$

161.

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

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

162.

Simplify: $10x^8\cdot9x$

a)

$90x^8$

b)

$19x^9$

c)

$90x^9$

d)

$19x^9$

163.

Simplify: $h^3\cdot g^2\cdot h^5$

a)

$g^2\cdot h^8$

b)

$gh^{10}$

c)

$g^2\cdot h^{15}$

d)

$h^8$

164.

Simplify: $m^5n^9\cdot m^2n^3$

a)

$m^{10}n^{12}$

b)

$m^7n^{27}$

c)

$m^7n^{12}$

d)

$m^{12}n^{27}$

165.

Simplify: $\frac{a^{17}b^{10}}{a^2b^7}$

a)

$a^{34}b^{70}$

b)

$a^{15}b^{17}$

c)

$a^{19}b^3$

d)

$a^{15}b^3$

166.

$\left(\frac{xy^3}{z^4}\right)^2$

a)

$\frac{xy^6}{z^8}$

b)

$\frac{x^2y^9}{z^{16}}$

c)

$\frac{x^2y^6}{z^8}$

d)

$\frac{xy^9}{z^{16}}$

167.

Simplify: $\left(\frac{3x^2y^3}{6x^5}\right)^3$

a)

$\frac{y^9}{8x^9}$

b)

$\frac{8x^9}{y^9}$

c)

$\frac{1x^6y^9}{2x^{15}}$

d)

$\frac{2x^5y^6}{x^8}$

168.

a)

m⁹n^{- 3}

b)

m⁹ / n³

c)

m¹⁴ / n¹⁰

d)

m¹⁴n^{- 10}

169.

a)

w⁶ j²²

b)

w⁶j ³

c)

w ^{- 6}j¹⁰

d)

j¹⁰ / w⁶

170.

a)

2⁴ a⁹

b)

16a⁹

c)

2⁴a²⁰

d)

16a²⁰

171.

a)

125x⁶y³

b)

5x⁶y³

c)

125x⁵y

d)

15x⁶y³

172.

a)

y⁵

b)

y¹⁰

c)

y⁶

d)

1

173.

a)

18m²⁴n⁶

b)

216m²⁴n⁶

c)

216m¹¹n⁵

d)

6m²⁴n⁶

174.

a)

72a¹⁵b¹³

b)

36a¹⁵b¹³

c)

72a²⁵b²¹

d)

36a²⁵b²¹

175.

a)

5x³

b)

16x³

c)

5x⁹

d)

4x³

176.

a)

y³

b)

y⁷

c)

10y

d)

y¹⁰

177.

a)

2x⁶

b)

8x⁶

c)

8x⁵

d)

2x⁵

178.

a)

c⁶/ a³b¹⁰

b)

a⁶/ c³b¹⁰

c)

b⁶/ a³c¹⁰

d)

a³c⁶ / b⁴

179.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

180.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

181.

Multiply using scientific notation.
(2 x 10³) x (1.9 x 10²)

a)

3.8 x 10⁵

b)

3.8 x 10²

c)

3.8 x 10⁴

d)

3.8 x 10⁶

182.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

183.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

184.

2 x 10⁵
----------
8 x 10²

a)

2.5 x 10⁴

b)

2.5 x 10²

c)

25 x 10³

d)

.25 x 10³

185.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

186.

(2.13 * 10⁴) / (7.1 * 10²)

a)

0.3 * 10²

b)

3 * 10⁶

c)

3 * 10²

d)

3 * 10

187.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

188.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

189.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

190.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

191.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

192.

Simplify the expression:
(a⁵)(a⁴)

a)

a²⁰

b)

a⁹

c)

a¹

193.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

194.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

195.

8⁰ = 0

a)

True

b)

False

196.

7⁸/7⁴ = 7²

a)

True

b)

False

197.

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

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

198.

Simplify: $10x^8\cdot9x$

a)

$90x^8$

b)

$19x^9$

c)

$90x^9$

d)

$19x^9$

199.

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)

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

200.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

201.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

202.

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

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

203.

Simplify: $\left(4y\right)^{-3}$

a)

$\frac{1}{64y^3}$

b)

$64y^{-3}$

c)

$-12y^{-3}$

d)

$\frac{64}{y^3}$

204.

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

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

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

205.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

206.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

207.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

208.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

209.

a)

A

b)

B

c)

C

d)

D

210.

a)

A

b)

B

c)

C

d)

D

211.

a)

A

b)

B

c)

C

d)

D

212.

a)

A

b)

B

c)

C

d)

D

213.

a)

b)

c)

d)

214.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

215.

Simplify

a)

z

b)

z¹²

c)

1

d)

z¹⁴

216.

$\frac{18x^{10}}{2x^3}$

a)

$9x^7$

b)

$9x^{13}$

c)

$18x^7$

d)

$2x^{13}$

217.

$\left(2x^2y^3\right)^3\left(x^4y\right)^2$

218.

Multiply (6m³n³)(8m²n³)

a)

48m⁵n⁹

b)

48m⁶n⁶

c)

48m⁵n⁶

d)

none of the above

219.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

220.

\left(4qm^2p^2\right)^4

a)

$16q^5m^6p^6$

b)

$256q^4m^8p^8$

c)

$16q^4m^6p^6$

d)

$256q^5m^6p^6$

221.

Simplify: $\left(-3y\right)\left(-2x^2y\right)^3$

a)

$216x^6y^6$

b)

$18x^5y^4$

c)

$18x^6y^4$

d)

$24x^6y^4$

222.

Multiplying with a power of a power: (y⁴)² ⋅ (y³)⁵

a)

y¹⁴

b)

y²³

c)

y⁴⁸

d)

none of the above

223.

Multiply: (-4a) ⋅ (3a³b²c)²

a)

-12a⁷b⁴c²

b)

-36a⁷b⁴c²

c)

-36a⁶b⁴c²

d)

-12a³bc²

224.

Multiply: (-5a³)² ⋅ (3a⁶b)²

a)

-15a¹⁸b²

b)

225a¹⁸b²

c)

-225a¹⁸b²

d)

200a¹⁷b²

225.

a)

A

b)

B

c)

C

d)

D

226.

a)

A

b)

B

c)

C

d)

D

227.

Given the point-slope form equation y - 6 = $\frac{3}{2}$ (x - 2),

what is the equivalent equation in slope-intercept form?

a)

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

b)

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

c)

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

d)

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

228.

What is the equation of a line, in point-slope form that

passes through the point (3, 2) with slope of $\frac{1}{4}$ ?

a)

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

b)

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

c)

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

d)

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

229.

In this graph, what is the slope of the line?

a)

- $\frac{1}{2}$

b)

-2

c)

2

d)

$\frac{1}{2}$

230.

Convert the point-slope equation y - 12 = 3(x - 9),

to Slope intercept form.

a)

y = 3x -9

b)

y = 3 x - 15

c)

3x - 12y = -27

d)

y = 3

231.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x + 2

b)

y = 2x - 1

c)

y = -x + 2

d)

y = -2x - 1

232.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

233.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 4/3x - 4

b)

y = -4/3x + 3

c)

y = 4/3x + 4

d)

y = -4/3x +3

234.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

235.

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

a)

$3x+y=1$

b)

$y=-3x+9$

c)

$y+8=-3\left(x-3\right)$

d)

$y=-3x+1$

236.

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

a)

$y+7=x+4$

b)

$y=x-3$

c)

$y=x-7$

d)

$x-y=3$

237.

Which equation represents the graph of the function with point (-2, 5) and slope of 3?

a)

$y=3x+5$

b)

$y-5=3\left(x+2\right)$

c)

$3x-y=11$

d)

$y-5=3\left(x-2\right)$

238.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

Alg I CT Sem 2 Exam

Total questions: 238

Worksheet time: 60hrs 30mins

Similar Resources on Wayground