Free Printable Geo - S2 Review #1 - Systems and Exponents

1.

What is the solution to the system with h(x) and j(x)? Write your answer as an ordered pair.

(a)

2.

Which two functions create a system with a solution in Quadrant IV?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

3.

What is the solution to the system with f(x) and j(x)? Write your answer as an ordered pair.

(a)

4.

Which two functions create a system with a solution in Quadrant I?

a)

f(x)

b)

g(x)

c)

h(x)

d)

j(x)

5.

What quadrant has the solution to the system of g(x) and h(x)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

6.

Which two functions create a system with no solution?

a)

$f\left(x\right)=\frac{2}{3}x+1$

b)

$p\left(x\right)=\frac{2}{3}x-7$

c)

$g\left(x\right)=-7x+1$

d)

$r\left(x\right)=-\frac{3}{2}x+4$

7.

Given f(x), which function would create a system of equations with no solutions?

$f\left(x\right)=-\frac{2}{3}x+4$

a)

$g\left(x\right)=-\frac{2}{3}x-5$

b)

$j\left(x\right)=\frac{3}{2}x+1$

c)

$p\left(x\right)=\frac{2}{3}x+6$

d)

$Q\left(x\right)=-\frac{3}{2}x+7$

8.

Which two functions create a system with a solution at (4, -2)?

a)

j(x)

b)

f(x)

c)

g(x)

d)

h(x)

9.

Which two functions create a system with a solution at (-1,3)?

a)

j(x)

b)

f(x)

c)

g(x)

d)

h(x)

10.

What is the solution to the system created by h(x) and j(x)? Write your answer as an ordered pair (x,y).

(a)

11.

What quadrant is the solution to the system created by f(x) and h(x)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

Select all systems that have no solutions

a)

f(x)=4x-1

g(x)=4x+3

b)

$x=2\ \ and\ \ y=3$

c)

d)

e)

j(x)=2x-3

g(x)=5x+8

13.

Select all systems that have one solution

a)

f(x)=4x-1

g(x)=4x+3

b)

$x=2\ \ and\ \ y=3$

c)

d)

e)

j(x)=2x-3

g(x)=5x+8

14.

Select all systems that have no solutions

a)

b)

c)

$f\left(x\right)=\frac{4}{5}x-7$

$g\left(x\right)=6x-7$

d)

$p\left(x\right)=\frac{-1}{3}x+2$

$Q\left(x\right)=\frac{-1}{3}x+7$

15.

Select all systems that have one solution

a)

b)

c)

$f\left(x\right)=\frac{4}{5}x-7$

$g\left(x\right)=6x-7$

d)

$p\left(x\right)=\frac{-1}{3}x+2$

$Q\left(x\right)=\frac{-1}{3}x+7$

16.

On a computer game, Fermin's score was 12 points less than twice Lisa's score. The total of both scores was 18 points. Which two equations model the situation?

a)

$F+L=18$

b)

$F=2L-12$

c)

$F=2L+12$

d)

$18F+2L=12$

e)

$F+L=12$

17.

Jenny is selling T-shirts and hats to raise money for the pep squad. She sold 12 total items. The number of T-shirts Jenny sold was 2 more than 4 times the number of hats she sold. Which two equations model the situation?

a)

$T+H=12$

b)

$T=4H+2$

c)

$H=4T+2$

d)

$T+H=2$

e)

$T+H=4$

18.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=2x-13$

$3x+2y=2$

(a)

19.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=3y-23$

$5x+4y=18$

(a)

20.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=2x+6$

$4x-2y=6$

(a)

21.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=5y-7$

$3x-15y=-21$

(a)

22.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=4y+1$

$7x+6y=-27$

(a)

23.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=3x-13$

$4x-7y=-11$

(a)

24.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=-5x+3$

$4x+3y=20$

(a)

25.

Solve the system by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=-2y-13$

$7x-6y=9$

(a)

26.

Solve the system by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=3y-25$

$3x+4y=42$

(a)

27.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=2x-5$

$6x+7y=-35$

(a)

28.

Solve by substitution. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=3y+8$

$7x-9y=56$

(a)

29.

The perimeter of a rectangle is 72 inches. Its length is 6 inches greater than twice its width. What is the length of the rectangle?

a)

10 in

b)

11 in

c)

26 in

d)

28 in

30.

A collection of nickels and dimes has a value of $1.85. There are 24 total coins. Which two equations model the situation?

a)

$5n+10d=185$

b)

$n+d=24$

c)

$n+d=185$

d)

$24n+24d=185$

e)

$n-d=24$

31.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$3x+4y=18$

$7x+4y=10$

(a)

32.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$4x-5y=17$

$3x+5y=4$

(a)

33.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$2x+3y=5$

$4x+6y=10$

(a)

34.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$4x-5y=23$

$8x-10y=23$

(a)

35.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$3x-7y=47$

$2x-5y=33$

(a)

36.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$8x-5y=-71$

$7x-10y=-79$

(a)

37.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$7x+5y=45$

$3x-5y=-45$

(a)

38.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$6x-2y=30$

$6x+7y=30$

(a)

39.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$2x-4y=16$

$11x-12y=28$

(a)

40.

Solve by elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$7x-5y=-13$

$11x+2y=19$

(a)

41.

Swati won a computer game that she played with Matt. The sum of their scores was 754. The difference of their scores was 176. How many points did Swati score?

a)

578

b)

465

c)

289

d)

754

42.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-17$

$6x-2y=28$

(a)

43.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-5x-1$

$3x-4y=-42$

(a)

44.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-4x+3$

$8x+2y=6$

(a)

45.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-2x+5$

$6x+3y=5$

(a)

46.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=3x-19$

$5x-6y=62$

(a)

47.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$x=-3y+16$

$5x+9y=44$

(a)

48.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-12$

$6x-3y=6$

(a)

49.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=2x-13$

$3x-8y=13$

(a)

50.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+2$

$7x-9y=20$

(a)

51.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=7x-15$

$5x-4y=37$

(a)

52.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+8$

$10x-2y=16$

(a)

53.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+2$

$10x-2y=-4$

(a)

54.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=3x+19$

$y=-2x-1$

(a)

55.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-3x+26$

$y=2x-14$

(a)

56.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-28$

$y=-3x+14$

(a)

57.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=-5y-4$

$6x+7y=45$

(a)

58.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=-3x-5$

$8x-5y=-67$

(a)

59.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$x=-3y+8$

$2x+6y=16$

(a)

60.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$y=-2x+5$

$6x+3y=5$

(a)

61.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$2x+7y=-41$

$6x-7y=17$

(a)

62.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$3x-5y=51$

$2x+7y=-59$

(a)

63.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$3x-8y=12$

$3x-8y=24$

(a)

64.

Solve using substitution or elimination. Write your answer as an ordered pair. Indicate "identity" or "no solution" if applicable.

$4x-5y=24$

$8x-10y=48$

(a)

65.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-17$

$6x-2y=28$

(a)

66.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-5x-1$

$3x-4y=-42$

(a)

67.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-4x+3$

$8x+2y=6$

(a)

68.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-2x+5$

$6x+3y=5$

(a)

69.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$x=-3y+16$

$5x+9y=44$

(a)

70.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-12$

$6x-3y=6$

(a)

71.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=2x-13$

$3x-8y=13$

(a)

72.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+2$

$7x-9y=20$

(a)

73.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=7x-15$

$5x-4y=37$

(a)

74.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+8$

$10x-2y=16$

(a)

75.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=5x+2$

$10x-2y=-4$

(a)

76.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=3x+19$

$y=-2x-1$

(a)

77.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=-3x+26$

$y=2x-14$

(a)

78.

Solve by substitution. Write your answer as an ordered pair (x,y). Indicate "identity" or "no solution" if applicable.

$y=4x-28$

$y=-3x+14$

(a)

79.

Seana and Mikayla sold tickets to the school play. Seana sold 3 adult tickets and 2 student tickets for $84. Mikayla sold 2 adult tickets and 5 student tickets for $100. How much did a student ticket cost?

a)

$12

b)

$20

c)

$36

d)

$44

80.

There are 40 students in band third period. The number of girls is 4 less than 3 times that number of boys. Which two equations model the situation?

a)

$g+b=40$

b)

$g=3b-4$

c)

$b=3g-4$

d)

$40b+40g=3$

81.

Write the inequality in slope intercept form. Do not type spaces.

(a)

82.

Write the inequality in slope intercept form. Do not type spaces.

(a)

83.

Write the inequality in slope intercept form. Do not type spaces.

(a)

84.

Write the inequality in slope intercept form. Do not type spaces.

(a)

85.

Write the inequality in slope intercept form. Do not type spaces.

(a)

86.

Write the inequality in slope intercept form. Do not type spaces.

(a)

87.

Which graph represents

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

a)

b)

c)

d)

88.

Which graph represents

$y\le2x-1$

a)

b)

c)

d)

89.

Which point(s) are solutions of the graph? Select all that apply.

a)

(0,0)

b)

(2,2)

c)

(1,-1)

d)

(0,4)

e)

(-2,0)

90.

Which point(s) are solutions? Select all that apply.

a)

(0,0)

b)

(0,1)

c)

(2,2)

d)

(3,-1)

e)

(-3,3)

91.

Which point(s) are solutions? Select all that apply.

a)

(0,0)

b)

(0,-3)

c)

(4,-1)

d)

(4,-2)

e)

(-4,-3)

92.

Which point(s) are solutions? Select all that apply.

a)

(0,0)

b)

(0,1)

c)

(2,2)

d)

(-3,0)

e)

(-2,-4)

93.

Which point(s) are solutions? Select all that apply.

a)

(0,0)

b)

(2,4)

c)

(-4,1)

d)

(-2,3)

e)

(0,4)

94.

Which points are solutions to the system of inequalities. Select all that apply.

a)

(2,2)

b)

(0,0)

c)

(4,1)

d)

(0,1)

e)

(3,-1)

95.

Which points are solutions to the system of inequalities? Select all that apply.

a)

(0,0)

b)

(-1,1)

c)

(1,-1)

d)

(0,-4)

e)

(0,1)

96.

Which points are solutions to the system of inequalities? Select all that apply.

a)

(-1,3)

b)

(-3,1)

c)

(0,4)

d)

(4,0)

e)

(0,2)

97.

Which two inequalities make up the given system?

a)

$y\le-2x+1$

b)

$y\ge-2x+1$

c)

$y>\frac{1}{3}x-2$

d)

$y<\frac{1}{3}x-2$

98.

Which two inequalities make up the given system?

a)

$y<\frac{-1}{2}x+1$

b)

$y>\frac{-1}{2}x+1$

c)

$y\ge4x-4$

d)

$y\le4x-4$

99.

Which two inequalities create the system pictured?

a)

$y>\frac{1}{4}x+2$

b)

$y<\frac{1}{4}x+2$

c)

$y\le-3x+4$

d)

$y\ge-3x+4$

100.

Which two inequalities create the system pictured?

a)

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

b)

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

c)

$y\ge-3x+2$

d)

$y\le-3x+2$

101.

Which points are solutions to the system pictured? Select all that apply.

a)

(0,0)

b)

(4,4)

c)

(0,2)

d)

(-4,0)

e)

(2,-4)

102.

Which two inequalities create the system pictured?

a)

$y\ge-\frac{1}{3}x+3$

b)

$y\le-\frac{1}{3}x+3$

c)

$y<4x-4$

d)

$y>4x-4$

103.

Which points are solutions to the system? Select all that apply.

a)

(0,0)

b)

(4,3)

c)

(3,2)

d)

(2,4)

e)

(-3,4)

104.

Which two inequalities create the system pictured?

a)

$y>\frac{2}{3}x-1$

b)

$y<\frac{2}{3}x-1$

c)

$y\ge-2$

d)

$x\ge-2$

105.

Which points are solutions to the system? Select all that apply.

a)

(0,0)

b)

(3,1)

c)

(-4,-2)

d)

(3,-2)

e)

(-1,3)

106.

Which graph represents the system of inequalities?

$y\ge\frac{3}{4}x-2$

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

a)

b)

c)

d)

107.

Which graph represents the system of inequalities?

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

$y\ge-3x+4$

a)

b)

c)

d)

108.

Simplify

$\frac{11a^{-2}}{b\ ^0}$

a)

$\frac{11}{a^2}$

b)

$\frac{1}{11a^2}$

c)

$\frac{0}{11a^2}$

d)

$\frac{11}{a^2b}$

109.

Select all equivalent expressions

$\frac{7^{-2}x^{-3}}{y^{-4}}$

a)

$\frac{y^4}{49x^3}$

b)

$\frac{y^4}{-49x^3}$

c)

$\frac{y\cdot y\cdot y\cdot y}{7\cdot7\cdot x\cdot x\cdot x}$

d)

$\frac{y^4}{14x^3}$

110.

Simplify

$3^{-2}$

a)

$\frac{1}{9}$

b)

$\frac{0}{9}$

c)

$-9$

d)

$\frac{1}{3^{-2}}$

111.

Which expressions are equivalent? Select all that apply.

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

a)

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

b)

$\frac{1}{4^{-1}a^2b^3}$

c)

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

d)

$\frac{1}{4a^2b^3}$

e)

$\frac{0}{4a^2b^3}$

112.

Select all equivalent expressions

$\frac{6^{-1}}{x^{-4}}$

a)

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

b)

$-6x^4$

c)

$\frac{1}{-6x^4}$

d)

$\frac{1}{6x^{-4}}$

e)

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

113.

Select all equivalent expressions.

$3^{-2}4^{-1}$

a)

$\frac{1}{36}$

b)

$\frac{1}{-36}$

c)

$\frac{1}{3^2\cdot4}$

d)

$36$

e)

$12^{-3}$

114.

Select all equivalent expressions

$\frac{4x^{-3}}{wy^0}$

a)

$\frac{4}{wx^3}$

b)

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

c)

$\frac{4w^{-1}}{x^3}$

d)

$\frac{4}{wx^3y}$

e)

$\frac{4}{wx^{-3}}$

115.

Select all equivalent expressions

$\frac{a^{-4}}{7b^0}$

a)

$\frac{1}{7a^4}$

b)

$\frac{1}{7\cdot a\cdot a\cdot a\cdot a}$

c)

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

d)

$\frac{7}{a^4}$

e)

$\frac{1}{7a^{-4}}$

116.

Select all equivalent expressions

$3^{-1}\cdot5^{-2}$

a)

$\frac{1}{75}$

b)

$\frac{1}{3\cdot5^2}$

c)

$-75$

d)

$30$

e)

$\frac{1}{30}$

117.

Select all equivalent expressions

$\frac{x^0y^{-4}}{5}$

a)

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

b)

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

c)

$\frac{x}{5y^4}$

d)

$\frac{x}{5y^{-4}}$

e)

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

118.

Select all equivalent expressions

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

a)

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

b)

$\frac{a^{-2}}{3b^{-4}c^{-1}}$

c)

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

d)

$\frac{b^4c^0}{3a^2}$

e)

$\frac{b\cdot b\cdot b\cdot b\cdot c}{3\cdot a\cdot a}$

119.

Select all equivalent expressions

$5m^0n^{-2}p^{-3}$

a)

$\frac{5}{n^2p^3}$

b)

$\frac{5}{n\cdot n\cdot p\cdot p\cdot p}$

c)

$\frac{1}{5n^2p^3}$

d)

$5n^2p^3$

e)

$\frac{1}{n^2p^3}$

120.

Select all equivalent expressions

$\frac{x^6y^{-7}z^0}{5^{-2}}$

a)

$5^2x^6y^{-7}z^0$

b)

$25x^6y^{-7}$

c)

$\frac{25x^6}{y^7}$

d)

$\frac{5\cdot5\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x}{y\cdot y\cdot y\cdot y\cdot y\cdot y\cdot y}$

e)

$\frac{10x^6}{y^7}$

121.

Select all equivalent expressions

$\frac{5^{-2}z^{-3}}{xy^0}$

a)

$\frac{1}{5^2xz^3}$

b)

$\frac{1}{5\cdot5\cdot x\cdot z\cdot z\cdot z}$

c)

$5\cdot5\cdot x\cdot z\cdot z\cdot z$

d)

$25xz^3$

e)

$\frac{1}{25z^3}$

122.

Select all equivalent expressions

$4^{-2}w^0xy^{-3}$

a)

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

b)

$\frac{x}{4\cdot4\cdot y\cdot y\cdot y}$

c)

$\frac{x}{16y^3}$

d)

$\frac{-16x}{y^3}$

e)

$\frac{x}{8y^3}$

123.

Select all equivalent expressions

$5^{-2}\cdot3^0$

a)

$\frac{1}{25}$

b)

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

c)

$-25$

d)

$15^{-3}$

e)

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

124.

Simplify

$9^{-1}x^0y^{-3}$

a)

$\frac{1}{9y^3}$

b)

$\frac{-9}{y^3}$

c)

$\frac{1}{-9y^3}$

d)

$\frac{0}{9y^3}$

125.

Simplify

$2^3x^4\cdot5x^6$

a)

$40x^{10}$

b)

$40x^{24}$

c)

$30x^{10}$

d)

$30x^{24}$

126.

Simplify

$4^{-2}$

a)

$\frac{1}{16}$

b)

$-16$

c)

$\frac{1}{-16}$

d)

$16$

127.

Select all equivalent expressions

$7k^2\left(k^3\right)$

a)

$7k^5$

b)

$7\cdot k\cdot k\cdot k\cdot k\cdot k$

c)

$49k^5$

d)

$49\cdot k\cdot k\cdot k\cdot k\cdot k$

e)

$7k^6$

128.

Select all equivalent expressions

$3c^2\left(9c\right)$

a)

$27c^3$

b)

$3\cdot9\cdot c\cdot c\cdot c$

c)

$81c^3$

d)

$9\cdot9\cdot c\cdot c\cdot c$

129.

Simplify

$-7x^2\cdot x^3$

a)

$-7x^5$

b)

$\frac{x^5}{7}$

c)

$-7x^6$

d)

$\frac{x^6}{7}$

130.

Simplify

$3ad^4\cdot\left(-2a^2\right)$

a)

$-6a^3d^4$

b)

$\frac{a^3d^4}{6}$

c)

$\frac{1}{6a^3d^4}$

d)

$\frac{d^4}{6a^3}$

e)

$-5a^3d^4$

131.

Select all equivalent expressions

$3^2\cdot4^3$

a)

$9\cdot64$

b)

$6\cdot12$

c)

$12^5$

d)

$3\cdot3\cdot4\cdot4\cdot4$

e)

$12^6$

132.

Select all equivalent expressions

$\left(2a^2b^3\right)\left(4ab^5\right)$

a)

$8a^3b^8$

b)

$2\cdot4\cdot a^2\cdot a\cdot b^3\cdot b^5$

c)

$6a^3b^8$

d)

$8a^2b^8$

e)

$16a^3b^8$

133.

Simplify

$\left(3x^4\right)\left(-5x^{-11}\right)$

a)

$\frac{-15}{x^7}$

b)

$-15x^{-7}$

c)

$\frac{1}{15x^7}$

d)

$-15x^7$

e)

$\frac{x^7}{15}$

134.

Simplify

$\left(4y^5\right)\left(2y^{-9}\right)$

a)

$\frac{8}{y^4}$

b)

$\frac{1}{8y^4}$

c)

$8y^4$

d)

$8y^{-4}$

e)

$\frac{8}{y^{-4}}$

135.

Simplify

$\left(5w^0\right)\left(2w^3\right)$

a)

$10w^3$

b)

$7w^3$

c)

$10w^4$

d)

$7w^4$

136.

Simplify

$\left(8c^4\right)\left(3c^0\right)$

a)

$24c^4$

b)

$24c^5$

c)

$11c^4$

d)

$11c^5$

137.

Simplify

$\left(-9w^2\right)\left(4w^{-10}\right)$

a)

$\frac{-36}{w^8}$

b)

$-36w^8$

c)

$\frac{1}{36w^8}$

d)

$\frac{1}{-36w^8}$

e)

$\frac{-36}{w^{-8}}$

138.

Select all equivalent expressions

$2^{-3}\cdot2^{-1}$

a)

$\frac{1}{16}$

b)

$\frac{1}{-16}$

c)

$-16$

d)

$2^{-4}$

e)

$4^{-4}$

139.

Select all equivalent expressions

$3^{-2}\cdot3^{-1}$

a)

$\frac{1}{27}$

b)

$3^{-3}$

c)

$9^{-3}$

d)

$-27$

e)

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

140.

Which expression is equivalent?

$4^{-3}\cdot4^0$

a)

$4^{-3}$

b)

$16^{-3}$

c)

$16^{-4}$

d)

$4^{-4}$

141.

Simplify

$3^0x^4\cdot3^2x^5$

a)

$9x^9$

b)

$27x^9$

c)

$x^9$

d)

$9x^{20}$

e)

$27x^{20}$

142.

Simplify

$\left(2b^5\right)^3a^4$

143.

Simplify

$6^{-2}$

a)

$\frac{1}{36}$

b)

$-36$

c)

$\frac{1}{-36}$

d)

$-12$

e)

$\frac{1}{12}$

144.

Simplify

$7b^0$

a)

$7$

b)

$1$

c)

$0$

d)

$7b$

145.

Select all equivalent expressions

$3^2\cdot3^4$

a)

$3^6$

b)

$9^6$

c)

$3^8$

d)

$\left(3\cdot3\right)\cdot\left(3\cdot3\cdot3\cdot3\right)$

e)

$3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3$

146.

Select all equivalent expression

$\left(4x^5\right)^2$

a)

$16x^{10}$

b)

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

c)

$4x^{10}$

d)

$4x^7$

e)

$16x^7$

147.

Select all equivalent expressions

$\left(7w^0\right)^3$

a)

$7^3$

b)

$7^3w^3$

c)

$\left(7w^0\right)\left(7w^0\right)\left(7w^0\right)$

d)

$\left(7w\right)\left(7w\right)\left(7w\right)$

e)

$1$

148.

Simplify

$\left(5y^{-3}\right)^2$

149.

Select all equivalent expressions

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

a)

$2^{12}$

b)

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

c)

$2^7$

d)

$4^{12}$

e)

$24$

150.

Select all equivalent expressions

$\left(w^5\right)^3$

a)

$w^{15}$

b)

$\left(w^5\right)\left(w^5\right)\left(w^5\right)$

c)

$w^8$

d)

$w^5\cdot w^3$

e)

$15w$

151.

Select all equivalent expressions

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

a)

$x^8$

b)

$\left(x^4\right)\left(x^4\right)$

c)

$x^6$

d)

$8x$

e)

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

152.

Select all equivalent expressions

$\left(3w^4\right)^2$

a)

$9w^8$

b)

$\left(3w^4\right)\left(3w^4\right)$

c)

$3w^8$

d)

$6w^8$

e)

$9w^6$

153.

Simplify

$\left(3m^2np^4\right)\left(5m^3n^2p\right)^2$

a)

$75m^8n^5p^6$

b)

$15m^8n^5p^6$

c)

$30m^8n^5p^6$

d)

$225m^8n^5p^6$

154.

Simplify

$\left(9d^{10}\right)^{-2}$

a)

$\frac{1}{81d^{20}}$

b)

$\frac{-81}{d^{20}}$

c)

$-81d^{20}$

d)

$\frac{1}{18d^{20}}$

155.

Simplify

$5x^0$

a)

$5$

b)

$1$

c)

$0$

d)

$x$

e)

$5x$

156.

Simplify

$\left(\frac{y^5}{3x^4}\right)^2$

a)

$\frac{y^{10}}{9x^8}$

b)

$\frac{y^{10}}{3x^8}$

c)

$\frac{y^{10}}{6x^8}$

d)

$\frac{y^{10}}{5x^8}$

157.

Select all equivalent expressions

$\left(\frac{x^5}{4x^{-8}}\right)^2$

a)

$\left(\frac{x^5}{4x^{-8}}\right)\left(\frac{x^5}{4x^{-8}}\right)^{ }$

b)

$\left(\frac{x^{13}}{4}\right)^2$

c)

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

d)

$\left(4x^{13}\right)^2$

e)

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

158.

Simplify

$\frac{5y^6}{15y^0}$

a)

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

b)

$3y^6$

c)

$10y^6$

d)

$\frac{y^6}{10}$

159.

Simplify

$\frac{w^{12}}{3w^{-2}}$

a)

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

b)

$3w^{14}$

c)

$\frac{w^{10}}{3}$

d)

$3w^{10}$

160.

Simplify

$\frac{b^7}{5b}$

a)

$\frac{b^6}{5}$

b)

$5b^6$

c)

$\frac{b^7}{5}$

d)

$5b^7$

161.

Simplify

$\frac{6x^{13}}{12x^{-3}}$

a)

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

b)

$2x^{16}$

c)

$\frac{x^{16}}{6}$

d)

$6x^{16}$

162.

Simplify

$\frac{4y^{-11}}{y^{-5}}$

a)

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

b)

$4y^6$

c)

$\frac{4}{y^{16}}$

d)

$4y^{16}$

163.

Select all equivalent expressions

$\left(\frac{y^5}{3x^9}\right)^2$

a)

$\frac{y^{10}}{9x^{18}}$

b)

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

c)

$\left(\frac{y^5}{3x^9}\right)\left(\frac{y^5}{3x^9}\right)$

d)

$\frac{y^7}{3x^{11}}$

e)

$\frac{y^7}{9x^{11}}$

164.

Simplify

$\left(\frac{4w^{-6}}{20}\right)^2$

a)

$\frac{1}{25w^{12}}$

b)

$\frac{1}{5w^{12}}$

c)

$\frac{1}{25w^8}$

d)

$\frac{1}{5w^8}$

165.

Simplify

$\left(\frac{30}{10x^0}\right)^{\text{4}}$

a)

$81$

b)

$\frac{81}{x}$

c)

$\frac{81}{x^4}$

d)

$81x^4$

e)

$81x$

166.

Select all equivalent expressions

$\left(\frac{32w^{-3}}{64}\right)^4$

a)

$\left(\frac{w^{-3}}{2}\right)^4$

b)

$16w^{-12}$

c)

$\frac{1}{16w^{12}}$

d)

$\frac{1}{2w^{12}}$

e)

$\frac{w^{-12}}{16}$

167.

Simplify

$\left(\frac{75}{100x}\right)^2$

a)

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

b)

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

c)

$\frac{3}{4x}$

d)

$\frac{9}{16x}$

168.

Simplify

$\left(\frac{30y^4}{50}\right)^2$

a)

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

b)

$\frac{9y^8}{25}$

c)

$\frac{3y^6}{5}$

d)

$\frac{9y^6}{25}$

169.

Simplify

$\frac{5\cdot10^9}{2.5\cdot10^3}$

a)

$2\cdot10^6$

b)

$2\cdot10^3$

c)

$2.5\cdot10^6$

d)

$2.5\cdot10^3$

170.

Simplify

$\frac{8\cdot10^{12}}{4\cdot10^6}$

a)

$2\cdot10^6$

b)

$2\cdot10^2$

c)

$4\cdot10^6$

d)

$4\cdot10^2$

Geo - S2 Review #1 - Systems and Exponents

Total questions: 170

Worksheet time: 1hrs 28mins

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