wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

MOCK UP BRAINQUEST 2

Total questions: 166

Worksheet time: 3hrs 46mins

Name
Class
Date
1.

Which of the following equations is NOT a quadratic equation?

a)

2x2 + 2 = 0

b)

x2 + 4x = -4

c)

4 = x2

d)

x2 - 2x + 1

2.

Which of the following equations is NOT a quadratic equation?

a)

2x2 + 2 = 0

b)

x2 + 4x = -4

c)

64 = x2

d)

x2 - 2x + 1

3.

It is a polynomial equation of degree two that can be written in the form

ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

a)

Linear Equation

b)

Linear Inequality

c)

Quadratic Equation

d)

Quadratic Inequality

4.

In the quadratic equation 2x2 – 9x – 5 = 0, which is the quadratic term?

a)

2x2

b)

x2

c)

– 9x

d)

– 5

5.

Solve by extracting the roots:

4m2 = 100

a)

m=25, -25

b)

m=96

c)

m=-96

d)

m=5, -5

6.

Solve by extracting the roots:

3x2 = 192

a)

-32 or 32

b)

-8 or 8

c)

-64 or 64

d)

No Solution

7.

Find the solutions of the equation x2 - 16 = 0 by extracting the square root.

a)

x = 4 and x = -4

b)

x = 4

c)

x = -4

d)

no answer

8.

Find the roots of the quadratic equation 2s2 = 50.

a)

s = 25 and s = -25

b)

s = 5 and s = -5

c)

s = 5 and s = 25

d)

s = -5 and s= -25

9.

What equation has the roots of x = 7 and x = -7?

a)

x2 - 14 = 0

b)

x2 - 49 = 0

c)

x2 + 49 = 0

d)

x2 = 14

10.

What are the roots of the quadratic equation 3t2 = 12?

a)

t =4 and t = -4

b)

t = 2 and t = -2

c)

t = 3 and t = -3

d)

t = 9 and t = -9

11.

What is the solution of the equation a2 – 60 = 21?

a)

positive or negative 4

b)

positive or negative 6

c)

positive or negative 7

d)

positive or negative 9

12.

What is the first step in solving the quadratic equation  x23=2xx^2-3=-2x  ?

a)

Factor the expression on left side of the equation.

b)

Add 2x to both sides to set the equation equal to 0.

c)

Use the zero product property.

d)

Multiply both sides of the equation by 2x. 

13.

Which of the following properties must be used to solve for the quadratic equation (x3)(x+2)=0\left(x-3\right)\left(x+2\right)=0 ?

a)

Associative Property

b)

Commutative Property

c)

Inverse Property

d)

Zero Product Property

14.

What are the root/s of the quadratic equation x2+4x+4=0x^2+4x+4=0  ?

a)

x = 2 

b)

x = -2

c)

x = -4, 1

d)

x = -4, -1

15.

What are the solutions of the quadratic equation (x3)(x+2)=0\left(x-3\right)\left(x+2\right)=0  ?


a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

16.

Solve for the root/s of x29x=0x^2-9x=0  by factoring.

a)

9

b)

0, 9

c)

-9, 0

d)

-9

17.
The solutions of the quadratic equation 
x2+5x+6=0 are
a)
x= -3 or x = -2
b)
x = -6 or x = 1
c)
x = 3 or x = 2
d)
x = -3 or x = 2
18.

Which of the following expressions is a perfect square trinomial?

a)

2x² - 4x - 7

b)

x² - 2x + 1

c)

6x² - 9x - 2

d)

x² - 4x - 8

19.

What must be added to the equation x² - 4x = 0 to make it a perfect square trinomial?

a)

4

b)

-4

c)

2

d)

-2

20.

Write the following quadratic expression in completed square form...


x2 + 4x + 10

a)

(x + 4)2 + 6

b)

(x + 2)2 + 6

c)

(x + 4)2 - 6

d)

(x + 2)2 - 6

21.

The discriminant is...

a)

ax2 +bx+c

b)

b – 4ac

c)

b2 +4ac

d)

b2 – 4ac

22.

The roots of x2 + 6x + 9 = 0 will be

a)

real or imaginary

b)

unequal and irrational

c)

real, rational and unequal

d)

real, rational and equal

23.

Which is true for the equation x25x+12=0?x^2-5x+12=0?  

a)

There are two real roots

b)

There is one one repeated root

c)

There are no real roots

d)

There are two rational roots

24.

What is the value of b24ac b^2-4ac\  for equation  p2=3p+2?p^2=3p+2?  

a)

1

b)

17

c)

6

d)

14

25.

What is the value of the discriminant for the equation 4x212+9=0?4x^2-12+9=0?  

a)

00  

b)

12-12  

c)

144144  

d)

11  

26.

What is the SUM of the roots of quadratic equation x2 + 13x + 42 = 0?

a)

-42

b)

-13

c)

13

d)

42

27.

What is the PRODUCT of the roots of x2 – 15x + 26 = 0?

a)

-26

b)

-15

c)

15

d)

26

28.

Determine the SUM of the roots of the given quadratic equation below:

3x2+11x4=03x^2+11x-4=0  

a)

113-\frac{11}{3}

b)

113\frac{11}{3}  

c)

43-\frac{4}{3}  

29.

Determine the PRODUCT of the roots of the given quadratic equation below:

3x2+11x4=03x^2+11x-4=0

a)

113-\frac{11}{3}

b)

43-\frac{4}{3}

c)

43\frac{4}{3}

30.

Determine the SUM of the roots of the given quadratic equation below:

4x2+6x1=04x^2+6x-1=0  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

14-\frac{1}{4}  

31.

What is the sum of the roots of the quadratic equation x2+5x + 4 = 0x^2+5x\ +\ 4\ =\ 0  ?

a)

4

b)

5

c)

-4

d)

-5

32.

What is the product of the roots of the quadratic equation x26x  = 27x^2-6x\ \ =\ 27  ?

a)

-27

b)

27

c)

6

d)

-6

33.

1. All equations are mathematical statements that the quantities being compared are equal.

2. All quadratic equations are solvable by completing of squares.

a)

Both statements are true.

b)

Both statement are false.

c)

Statement 1 is true; statement 2 is false.

d)

Statement 1 is false; statement 2 is true.

34.

Solve the following quadratic equation...


x2 + 9x + 20 = 0

a)

x = -2

x = -10

b)

x = -5

x = -4

c)

x = -1

x = -20

d)

x = 4

x = 5

35.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

36.

In the quadratic formula, if b2-4ac>0, then the quadratic equation has

a)

two imaginary solutions

b)

two different real solutions

c)

two equal real solutions

d)

none of these

37.

To complete the perfect square trinomial in the expression x2-22x+_____, we need to add

a)

11

b)

44

c)

144

d)

121

38.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

an ellipse

39.

Complete the square for

x2 + 12x + ____

a)

x2 + 12x + 144

b)

x2 + 12x - 36

c)

x2 + 12x + 36

d)

x2 + +12x - 144

40.

The area of a rectangular pathway is 350 sq. meters and its perimeter is 90 meters. What is the sum of the roots of quadratic equation?

a)

450

b)

90

c)

440

d)

80

41.

Translate "three more a number is seventeen" into mathematical equation.

a)

x + 3 = -17

b)

x - 3 = 17

c)

x + 3 = 17

d)

x - 3 = -17

42.

Translate: The square of a number is one hundred fifty more than five times a number.

a)

x2 = 5x + 150

b)

x2 = 5x + 50

c)

2x = 5x + 150

d)

x2 = 5x + 15

43.

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

a)

x2 + 6x + 12 = 0

b)

x2 + 2x + 24 = 0

c)

x2 - 6x + 12 = 0

d)

x2 – 2x – 24 = 0

44.

The length of a rectangle is 7 inches more than its width, its area is 228 square inches. Determine the length of the given rectangle.

a)

18 m

b)

19 m

c)

20 m

d)

21 m

45.

Which of the following graph is the same as the interval  [5,4]\left[-5,4\right] ?

a)
b)
c)
d)
46.

Which of the following is the same as the given graph?

a)

(2, 3)\left(-2,\ 3\right)

b)

[2, 3]\left[-2,\ 3\right]

c)

undefined

d)

(, 2)(3, )\left(-\infty,\ -2\right)\cup\left(3,\ \infty\right)

47.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
48.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
49.

Write the interval notation for the graph?

a)

[-3, 2)

b)

-3<x<2

c)

(-∞, -3] U (2, ∞)

d)

x > 2 or x < -3

50.

It is a second-degree function of the form f(x)=ax2 + bx + cf\left(x\right)=ax^2\ +\ bx\ +\ c , where a, b, and c are real numbers and a \ne 0 .

a)

Linear Function

b)

Quadratic Function

c)

Cubic Function

d)

Constant Function

51.

In a quadratic function in the form f(x)=ax2+bx+cf\left(x\right)=ax^2+bx+c , if a > 0, then the parabola opens ________.

a)

upward

b)

downward

c)

to the left

d)

to the right

52.

The parabola has a turning point called the _______ which is either the lowest point or the highest point of the graph.

a)

axis of symmetry

b)

vertex

c)

domain

d)

range

53.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
54.
a)
Function
b)
Not a Function
55.
a)
Function
b)
Not a Function
56.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
57.
In the picture, what does the coordinate (0, -2), where the parabola crosses over the y-axis, represent?
a)
the x-intercept
b)
the minimum
c)
the axis of symmetry
d)
the y-intercept
58.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
59.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
60.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
61.

The standard form of a quadratic equation is

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

62.
Determine the values of
a, b, and c for
the quadratic equation: 
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
63.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
64.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
65.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
66.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
67.
What are the zeros of the parabola? 
a)
1, 5
b)
3, -5 
c)
3, 0
d)
-6, 1
68.
Find the axis of symmetry for the graph
a)
x = -1
b)
x = 1
c)
x = 3
d)
x = -1 , 3
69.
What is the axis of symmetry?
a)
x = - 4
b)
x = - 2
c)
x = 0
d)
x = 4
70.
What is the vertex?
a)
(0, - 1)
b)
(0, 0.5)
c)
(-1, 0)
d)
(0.5, 0)
71.
Which of the following functions graphs the parabola shown?
a)
y = -x2 - 6
b)
y = -x2 + 6
c)
y = x2 - 6
d)
y = x2 + 6x
72.
Which of the following functions graphs the parabola shown?
a)
y = x2 - 4x + 1
b)
y = -2x2 - 8x - 3
c)
y = x2 - 4x + 5
d)
y = 2x2 + 6x + 1
73.
Which of the following functions graphs the parabola shown?
a)
y = x2 - 4x + 1
b)
y = -2x2 - 8x - 3
c)
y = x2 - 4x + 5
d)
y = 2x2 + 6x + 1
74.

What is the domain of the graph?

a)

x > 0

b)

y ≤ 8

c)

All real numbers

d)

No solution

75.

What is the range of the graph?

a)

x > 0

b)

y ≤ 8

c)

All real numbers

d)

y >8

76.

What is the equation of the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = −1

d)

y = 5

77.

What is the vertex (turning point) of this parabola?

a)

(−1, 3)

b)

(3, −1)

c)

(5, 0)

d)

(0, 5)

78.

What is the vertex (turning point) of this parabola?

a)

(−1, 0)

b)

(3, 0)

c)

(1, −4)

d)

(−4, 1)

79.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
80.
Which parent function matches the graph?
a)
f(x) = x
b)
f(x)= x2
c)
f(x) = |x|
d)
f(x) = abx
81.
What type of function is shown?
a)
exponential
b)
linear
c)
quadratic
d)
square root
82.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
83.

Which parent function is this?

a)

Quadratic

b)

Cubic

c)

Linear

d)

Rational

84.

Which parent function is this?

a)

Quadratic

b)

Cubic

c)

Linear

d)

Rational

85.

Which parent function is this?

a)

Quadratic

b)

Cubic

c)

Linear

d)

Rational

86.

The following symbols are used to denote inequality except _______________________.

a)

>

b)

=

c)

<

d)

\ge

87.

Which of the following is an example of quadratic inequality?

a)

2x² + 3x + 4 > 0

b)

15x ≤ 10

c)

x² - x +15 < -30

d)

x² + 4x - 5 = 0

88.

Which of the following odes not belong to the group?

a)

x2 - 3x + 4 > 0

b)

2x2 > 4

c)

x2 + 6x < 3

d)

x3 + 4x + 8 < 0

89.

Which symbol indicates "is greater than" in quadratic inequality?

a)

<

b)

c)

>

d)

90.

2x + 5 ≤ x − 3 , is

a)

Quadratic inequality

b)

Not quadratic inequality

91.

b2 − 4b + 4 = 0 , is

a)

Quadratic inequality

b)

Not quadratic inequality

92.

Which of the following is a quadratic inequality?

a)

x2 x 6x^2-\ x\ -6  

b)

3x2  4x  7 = 03x^2\ -\ 4x\ -\ 7\ =\ 0  

c)

(x 4)(x2) > 0\left(x\ -4\right)\left(x-2\right)\ >\ 0  

d)

x6x\le6  

93.

Which of the following is NOT a quadratic inequality?

a)

(x5)(x1)>0\left(x-5\right)\left(x-1\right)>0  

b)

x22x 50x^2-2x\ -5\ge0  

c)

x2 2x +5=0x^2\ -2x\ +5=0  

d)

x2  8x  16  0x^2\ -\ 8x\ -\ 16\ \le\ 0  

94.

Write the inequality.

a)

x >1x\ >-1  

b)

x < 1x\ <\ -1  

c)

x1x\le-1  

d)

x1x\ge-1  

95.

Write the inequality.

a)

x < 1x\ <\ -1  

b)

x>1x>-1  

c)

x1x\le-1  

d)

x1x\ge-1  

96.

Write the inequality.

a)

x<1x<-1  

b)

x>1x>-1  

c)

x1x\le-1  

d)

x1x\ge-1  

97.

Write the inequality.

a)

x<1x<1  

b)

x>1x>1  

c)

x1x\le1  

d)

x1x\ge1  

98.

Write the inequality.

a)

x<1x<-1  

b)

x>1x>-1  

c)

x1x\le-1  

d)

x1x\ge-1  

99.

Graph the solution set on the number line.

x>2x>2  

a)
b)
c)
d)
100.

Graph the solution set on a number line.

x3x\ge-3  

a)
b)
c)
d)
101.

Graph the solution set on a number line.

x <4x\ <-4  

a)
b)
c)
d)
102.

Write the statement in the form of equation. Use k as the constant of variation. (choose 1 equation only, use small letter and no spacing)


c is directly proportional to d

(a)  

103.

Write the statement in the form of equation. Use k as the constant of variation. (choose 1 equation only, use small letter and no spacing)


w varies directly as z

(a)  

104.

Does y varies directly as x? Type YES or NO

(a)  

105.

Does y varies directly as x? Type YES or NO (use capital letter)

(a)  

106.

Does y varies directly as x? Type YES or NO (use capital letter)

(a)  

107.

Does y varies directly as x? Type YES or NO (use capital letter)

(a)  

108.

Does y varies directly as x? Type YES or NO (use capital letter)

(a)  

109.

Solve for the unknown variable:


If y varies directly as x and y = 96 when x = 4, what is the value of y when x = 30?

(a)  

110.

Solve for the unknown variable:

If a varies directly as b and a = 12 when b = 20, what is the value of b if a = 123? (no space)

(a)  

111.

Solve for the unknown variable:


If z varies directly as r and z = 243 when r = 27. What is the value of z when r = 780? (do not use comma)

(a)  

112.

The distance covered by a moving object with a constant rate varies directly as the time it travelled. Milo walked 40 meters in 15 seconds. How long will it take him to walk 128 meters with a constant rate? (use small letter for the unit of measure, (a)   seconds)

113.

A school committee is assigned the task of selecting a DJ for their annual dance night. They were able to find a DJ who charges 5000 pesos for every 3 hours. How much will the school pay if the dance lasts for 9 hours? (use the word pesos in small letter as unit of measure, (a)   pesos)

114.

If y varies jointly with the product of x and z, and y = 105 when x = 5 and z = 7, find y when x = 9 and z = 10.

a)

270

b)

180

c)

360

d)

255

115.

If y varies jointly with the product of x and z, and y = 1000 when x = 10 and z = 20, find y when x = 8 and z = 10.

a)

100

b)

200

c)

300

d)

400

116.

The variable x is in joint variation with y and z. When the values of y and z are 4 and 6, x is 16. What is the value of x when y = 8 and z =12?

a)

32

b)

64

c)

48

d)

96

117.

A is in joint variation with B and square of C. When A = 144, B = 4 and C = 3. Then what is the value of A when B = 6 and C = 4?

a)

12

b)

24

c)

36

d)

48

118.

If a varies jointly as b and the square root of c, and a = 21 when b = 5 and c = 36, find a when b = 9 and c = 225.

a)

126

b)

196

c)

256

d)

289

119.

z varies jointly with x and y. If x = 2, y = 3 and z = 4, find z when x = -6 and y = 2.

a)

-6

b)

-8

c)

-10

d)

-12

120.

z varies jointly with x and y. If x = 5, y = -1, and z = 10. Find z when x = -1/2 and y = 7.

a)

5

b)

6

c)

7

d)

8

121.

z varies jointly with x and y. If x = 7, y = 3 and z = -14, find y when z = -8 and x = 3.

a)

3

b)

4

c)

5

d)

6

122.

z varies jointly with x and y. If x = 8, y = -3 and z = -6, find x when z = 12 and y = -16.

a)

-3

b)

-4

c)

-6

d)

-9

123.

The equation for a Joint Variation is represented as:

a)

y = kx

b)

y = k/x

c)

y = kxz

d)

y = kx/z

124.

Write the mathematical equation of the given statement: (no spacing, use / for fraction bar)


f is directly proportional to b and inversely proportional to e

(a)  

125.

Write the mathematical equation of the given statement: (no spacing, use / for fraction bar)


The time (t) needed to answer a set of problems is directly proportional to the number (N) of problems, and inversely proportional to the number of students (P) working on the solutions.

(a)  

126.

Solve for the constant of variation, k.


A varies directly as D and inversely as F. A=10.5, when D=2 and F=4

(a)  

127.

Solve for the constant of variation, k.


D is directly proportional to e2 and inversely proportional to f. D=12, when e=2 and f=7.

(a)  

128.

Given that z varies directly with y and inversely with x when x = 12, y=36 and z=15, find the value of z when x= -8 and y=24.

(a)  

129.

If a varies jointly as b and c, and inversely as d when a=140, b=5, c=4, and d=3, find a when b=10, c=8, and d=12.

(a)  

130.

The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 180 cu cm when the temperature is 270 K and the pressure is 15 lbs/sq cm, what is the volume when the temperature is 220 K and the pressure is 25 lbs/sq cm? (Write your final answer in this form: _ cu cm )

(a)  

131.

The resistance of a wire varies directly as its length and inversely as the square of the diameter. If a 15-ft long wire and a diameter of 1/2 inch has a resistance of 3 ohms, what is the resistance of a wire with a length of 25 ft and a diameter of 2 inches? (Write your final answer in fraction and of the form: _ ohms )

(a)  

132.

222^{-2}  

a)

14\frac{1}{4}  

b)

14-\frac{1}{4}  

133.

323^{-2}  

a)

19\frac{1}{9}  

b)

16\frac{1}{6}  

134.

434^{-3}  

a)

164\frac{1}{64}  

b)

146\frac{1}{46}  

135.

515^{-1}  

a)

55  

b)

15\frac{1}{5}  

136.

343^{-4}  

a)

19\frac{1}{9}  

b)

181\frac{1}{81}  

137.

Simplify

11111^{-1}  


a)

111\frac{1}{11}  

b)

11-11  

c)

1111  

d)

12

138.

142=\frac{1}{4^{-2}}=  

a)

14\frac{1}{4}  

b)

116\frac{1}{16}  

c)

4

d)

16

139.

Simplify

3x5y93x^5y^{-9}  

a)

13x5y9\frac{1}{3x^5y^9}  

b)

3x5y93x^5y^9  

c)

3x5y9\frac{3x^5}{y^9}  

d)

3y9x5\frac{3y^9}{x^5}  

140.

r2s3t5\frac{r^{-2}s^3}{t^{-5}}  

a)

r2s3t5r^2s^3t^5  

b)

s3t5r2\frac{s^3t^5}{r^2}  

c)

t5r2s3\frac{t^5}{r^2s^3}  

d)

1r2s3t5\frac{1}{r^2s^3t^5}  

141.

Simplify

(3m3n2)2\left(3m^{-3}n^2\right)^2  


a)

3m6n43m^6n^4  

b)

9m6n49m^6n^4  

c)

3n4m5\frac{3n^4}{m^5}  

d)

9n4m6\frac{9n^4}{m^6}  

142.
a)
72
b)
71/2
c)
7-2
d)
7-1/2
143.
a)
44/3
b)
43/4
c)
24/3
d)
23/4
144.
a)
23/5
b)
-23/5
c)
25/3
d)
85
145.
a)
73
b)
7
c)
73/4
d)
74/3
146.
a)
216
b)
61/2
c)
62
d)
63/2
147.
a)
21/6
b)
64
c)
61/2
d)
26
148.
a)
(5x)-2/1
b)
(5x)2/1
c)
(5x)-1/2
d)
(5x)1/2
149.
a)
m- 2
b)
m- 0.5
c)
m1/2
d)
m0.5
150.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
151.
Write the following expression in exponential form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
152.

Rewrite using a positive exponent.
7107^{-10}  

a)

1710\frac{1}{7^{10}}  

b)

7107^{10}  

c)

1710\frac{1}{7^{-10}}  

d)

-70

153.

Simplify

a)

116-\frac{1}{16}

b)

116\frac{1}{16}

c)

-16

d)

16

154.

212^{-1}  

a)

12\frac{1}{2}  

b)

11\frac{1}{1}  

c)

-1

d)

-2

155.
What is 10equivalent to?
a)
1
b)
10
c)
0
d)
100
156.

Evaluate.

a)

0

b)

1

c)

7

d)

70

157.

Rewrite as a positive exponent:  323^{-2}  

a)

-2

b)

-6

c)

19\frac{1}{9}  

d)

12\frac{1}{2}  

158.

Rewrite as a positive exponent:  626^{-2}  

a)

136\frac{1}{36}  

b)

12-12  

c)

16\frac{1}{6}  

d)

112\frac{1}{12}  

159.

Which is the same as  525^{-2}  

a)

25

b)

110\frac{1}{10}  

c)

125\frac{1}{25}  

d)

-25

160.

9129^{\frac{1}{2}}   is the same as

a)

9 \sqrt{9}\ so the value is 3

b)

9 × 12  9\ \times\ \frac{1}{2\ }\ so the value is 4.5

161.

2512 25^{\frac{1}{2}\ }   is the same as

a)

25 ÷ 2 25\ \div\ 2\   so the answer is 12.5

b)

25 \sqrt{25}\   so the answer is 5

162.

100 \sqrt{100}\   is the same as

a)

10013100^{\frac{1}{3}}  

b)

10012100^{\frac{1}{2}}  

c)

10×1010\times10  

d)

 3100\ ^3\sqrt{100}  

163.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
164.

4626\frac{4^6}{2^6}  

a)

262^6  

b)

666^6  

c)

868^6  

165.

903303\frac{90^3}{30^3}  

a)

333^3  

b)

1203120^3  

c)

60360^3  

d)

30330^3  

166.

16282\frac{16^2}{8^2}  

a)

222^2  

b)

424^2  

c)

828^2  

d)

24224^2