Quiz about Review 5.1-5.4

Question 1

Question 1.

Accepted Answer

71/2

Answer

72

Answer

7-2

Answer

7-1/2

Question 2

Question 2.

Accepted Answer

44/3

Answer

43/4

Answer

24/3

Answer

23/4

Question 3

Question 3.

Accepted Answer

25/3

Answer

23/5

Answer

-23/5

Answer

85

Question 4

Question 4.

Accepted Answer

(5x)-5/4

Answer

5x5/4

Answer

5x-5/4

Answer

(5x)-4/5

Question 5

Question 5.

Accepted Answer

(5x)-1/2

Answer

(5x)-2/1

Answer

(5x)2/1

Answer

(5x)1/2

Question 6

Question 6.

Accepted Answer

(6v)3/2

Answer

(6v)3

Answer

6v3/2

Answer

(6v)2/3

Question 7

The number under the radical sign or square root sign  is called the ______.

Accepted Answer

radicand

Answer

radical sign

Answer

factor

Answer

exponent

Question 8

Simplify $$y^{\frac{3}{7}}\cdot y^{\frac{1}{4}}$$

Accepted Answer

$$y^{\frac{19}{28}}$$

Answer

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

Answer

$$y^{\frac{3}{28}}$$

Answer

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

Question 9

$$\sqrt[6]{729b^{18}c^{36}}$$

Accepted Answer

$$3b^3c^6$$

Answer

$$121.5b^3c^6$$

Answer

$$729b^3c^6$$

Answer

$$3b^{18}c^{36}$$

Question 10

$$\sqrt[3]{343x^{27}y^{12}}$$

Accepted Answer

$$7x^9y^4$$

Answer

$$3x^9y^4$$

Answer

$$114x^{27}y^{12}$$

Answer

$$343x^9y^4$$

Question 11

Simplify $$a^{-\frac{5}{9}}$$

Accepted Answer

$$\frac{a^{\frac{4}{9}}}{a}$$

Answer

$$\frac{1}{a^{\frac{5}{9}}}$$

Answer

$$\frac{a^{\frac{5}{9}}}{a}$$

Answer

$$a^{\frac{4}{9}}$$

Question 12

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

Accepted Answer

add

Answer

subtract

Answer

multiply

Answer

divide

Question 13

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

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 14

Question 14.

Accepted Answer

y5

Answer

y15

Answer

y50

Answer

y2

Question 15

Simplify the exponential expression:

Accepted Answer

2x2

Answer

10x-2

Answer

2x12

Answer

10x12

Question 16

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

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 17

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 18

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 19

Examine the radical expression. What is the index?

Accepted Answer

5

Answer

108

Answer

36

Question 20

Examine the radical expression. What is the radicand?

Accepted Answer

108

Answer

3

Answer

36

Question 21

Examine the radical expression. Which question best represents this expression?

Accepted Answer

What value can be multiplied by itself 5 times to obtain 108?

Answer

What value can be multiplied by itself 108 times to obtain 5?

Answer

What is the value of 108 divided by 5?

Answer

What is the value of 5 divided by 108?

Question 22

Simplify the radical expression.

Accepted Answer

$$6c$$

Answer

$$6c^2$$

Answer

$$36c^2$$

Answer

$$\sqrt{6c}$$

Question 23

Simplify $$3x\sqrt[]{2}-x\sqrt[]{8}+x\sqrt[]{32}$$ .

Accepted Answer

$$5x\sqrt[]{2}$$

Answer

$$4x\sqrt[]{2}$$

Answer

$$3x\sqrt[]{2}$$

Answer

$$2x\sqrt[]{2}$$

Question 24

$$\left(\sqrt[]{2x}\right)\left(\sqrt[]{50x}-\sqrt[]{2x}\right)$$

Accepted Answer

8x

Answer

100x

Answer

4x

Answer

104x

Question 25

What is the conjugate of $$\left(\sqrt[]{7x}+\sqrt[]{3x}\right)$$

Accepted Answer

$$\left(\sqrt[]{7x}-\sqrt[]{3x}\right)$$

Answer

$$\left(\sqrt[]{7x}+\sqrt[]{3x}\right)$$

Answer

$$\left(\sqrt[]{3x}+\sqrt[]{7x}\right)$$

Answer

$$\left(\sqrt[]{3x}-\sqrt[]{7x}\right)$$

Question 26

Rationalize $$\frac{\sqrt[]{32}}{\sqrt[]{2}}$$ and simplify.

Accepted Answer

4

Answer

32

Answer

2

Answer

16

Question 27

In the picture, the symbol represents the

Accepted Answer

cube root of a number

Answer

the radical sign

Answer

cubing a number

Answer

square cube root

Question 28

$$\sqrt[3]{-250}$$

Accepted Answer

$$-5\sqrt[3]{2}$$

Answer

$$5\sqrt[3]{2}$$

Answer

$$25\sqrt[3]{2}$$

Answer

no solution

Question 29

$$\sqrt[]{32x^4y^9}$$

Accepted Answer

$$4x^2y^4\sqrt[]{2y}$$

Answer

$$4\sqrt[]{x^4y^9}$$

Answer

$$2x^2y^4\sqrt[]{8}$$

Answer

$$6x^2y^4\sqrt[]{y}$$

Question 30

What are the transformations of this functions compared to the parent function?

Accepted Answer

Shifted left 2

Answer

Shifted down 2

Answer

Shifted up 2

Answer

Shifted right 2

Question 31

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 32

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 33

What kind of function is represented by the graph?

Accepted Answer

Cubic Root Function

Answer

Cubic Function

Answer

Polynomial Function

Answer

Square Root Function

Question 34

What does (h,k) stand for in the standard circle equation?

Accepted Answer

(h,k) is the center of the circle

Answer

(h,k) is a point on the circle.

Answer

(h,k) is a point that we guess and find

Answer

(h,k) is the distance of the circle

Question 35

What is the equation of a circle with radius 2 and center (3, 4)?

Accepted Answer

(x-3)² + (y-4)² = 4

Answer

(x+3)² + (y+4)² = 2

Answer

(x-3)² + (y-4)² = 2

Answer

(x+3)² + (y+4)² = 4

Question 36

What is the equation of the circle?

Accepted Answer

(x+1)² + (y +1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x-1)² + (y -1)² = 9

Question 37

Which graph corresponds to

x²+ (y-6)²=9

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 38

Question 38.

Accepted Answer

36

Answer

18

Answer

-18

Answer

27

Question 39

Solve and check your solution(s).

Accepted Answer

x = -2, -3

Answer

x = -2

Answer

x = -2, 3

Answer

x = -3

Question 40

Solve and check your solution(s).

Accepted Answer

x = 9

Answer

x = 1

Answer

x = all real solutions

Answer

x = 9, 1

Question 41

Solve. (3x-5)^1/4+3=4

Accepted Answer

2

Answer

4/3

Answer

-2

Answer

-4/3

Question 42

Solve. (2x-8)^2/3= 4

Accepted Answer

x = 8, x= 0

Answer

x = 8

Answer

x = 7, x = -2

Answer

no solution

Question 43

How do you isolate a variable raised to the (2/3) power?

Accepted Answer

raise both sides to the (3/2) power

Answer

cube it

Answer

square it

Answer

raise both sides to the (2/3) power

Question 44

Solve for x:
(x + 2)^1/2 - 5 = -2

Accepted Answer

7

Answer

1

Answer

5

Answer

9

Question 45

Solve for y

$$2\left(3y\right)^{\frac{1}{2}}=6$$

Accepted Answer

3

Answer

-3

Answer

9

Answer

-9

Question 46

Question 46.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 47

Simplify: $$-\sqrt[3]{6b^2}\cdot\sqrt[3]{36b^3}$$

Accepted Answer

$$-6b\sqrt[3]{b^2}$$

Answer

$$6b$$

Answer

$$\sqrt[3]{42}$$

Answer

$$216b^2$$

Question 48

Multiply and simplify: $$\sqrt[4]{6b^5}\cdot-5\sqrt[4]{108b^5}$$

Accepted Answer

$$-15b^2\sqrt[4]{8b^2}$$

Answer

$$3\sqrt[4]{8b^3}$$

Answer

$$b^{ }\sqrt[4]{114b}$$

Answer

$$648b^3$$

Review 5.1-5.4

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