Free Printable Ch 5 Review Part 1

1.

a)

7²

b)

7^1/2

c)

7^-2

d)

7^-1/2

2.

Write the expression in radical form.
x^3/4

a)

∜x³

b)

∛x⁴

c)

x^.75

d)

√x²

3.

Write the expression in exponential form:
∜x⁵

a)

x^4/5

b)

x^5/4

c)

x⁵

d)

x^1/4

4.

Write the expression in radical form.
y^1/2

a)

√y

b)

∛y

c)

√y²

d)

∛y²

5.

Simplify

a)

b)

c)

d)

6.

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

a)

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

b)

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

c)

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

d)

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

7.

$\left(\sqrt[4]{x^5}\right)^{\frac{1}{2}}$

a)

$x^5$

b)

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

c)

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

d)

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

8.

$3y^{-\frac{4}{3}}\cdot2\sqrt[3]{y}$

a)

$\frac{6}{y}$

b)

$6y^{-2}$

c)

$\frac{5}{y}$

d)

$5y^{-2}$

9.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

10.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

11.

Simplify the expression.

$\sqrt[3]{x^2}\cdot\sqrt[3]{x^4}$

a)

$\sqrt[9]{x^6}$

b)

$x^2$

c)

$x^8$

d)

$\sqrt[6]{x^8}$

12.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

13.

Simplify:

a)

2

b)

8

c)

16

d)

32

14.

Simplify:

a)

2

b)

4

c)

8

d)

16

15.

Simplify the expression:

25^{-\frac{3}{2}}

a)

125

b)

-125

c)

$\frac{1}{125}$

d)

-5

16.

What is the inverse of the function f(x) = 4x + 6?

a)

$f^{-1}\left(x\right)$ = $\frac{x\ +\ 6}{\text{4}}$

b)

$f^{-1}\left(x\right)\ =\ \frac{\text{x - 6}}{\text{4}}$

c)

y = 4x + 6

d)

$f^{-1}\left(x\right)\ =\ \frac{\text{x - 4}}{\text{6}}$

17.

Which of the following is the inverse function for ? $f\left(x\right)\ =\ \frac{x^2+\ 1}{4}$

a)

$f^{-1}\left(x\right)\ =\ \left(4x\ +\ 1\right)^2$

b)

$f^{-1}\left(x\right)\ =\ \sqrt{4x}\ +\ 1$

c)

$f^{-1}\left(x\right)\ =\ \sqrt{4x\ -\ 1}$

d)

$f^{-1}\left(x\right)\ =\ 2\sqrt{x}+\ 1$

18.

Solve the radical equation $\sqrt{3x+12}=\sqrt{x+8}$

a)

x = 2

b)

x = 10

c)

x = -2

d)

x = -4

19.

Solve the radical equation $\sqrt{2x+1}\ =\ 3$

a)

x = 4

b)

x = 3

c)

x = 1

d)

x = 5

20.

Solve for x:

\ x^{\frac{3}{2}}=125

a)

x = 25

b)

x = -25

c)

x = 5

d)

x = -5

21.

Solve for x:

26=-1+\left(27x\right)^{\frac{3}{4}}

a)

x = 27

b)

x = -3

c)

x = 81

d)

x = 3

22.

Solve for x:

\sqrt{2x-4}=\sqrt{x}

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

23.

Solve for x:
$-2\ =\ -5+\sqrt{x+7}$

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

24.

$4+\sqrt{\frac{x}{9}}=5$

Solve for x:

a)

x = -9

b)

x = 9

c)

x = 21

d)

x = -21

25.

$\sqrt{63-7x}-x=-9$

Solve for x:

a)

x = 9

b)

x = 2

c)

x = 7

d)

x = 9, x = 2

26.

Solve. $\left(6x-3\right)^{\frac{2}{3}}+6=15$

a)

x = -5, x = 4

b)

x = 5

c)

x = 5, x = -4

d)

no solution

27.

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $f\left(g\left(x\right)\right)$

a)

$-x+1$

b)

$-2x^2$

c)

$6x-1$

d)

$5x+7$

28.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left(f\circ g\right)\left(3\right)$

a)

$43$

b)

$91$

c)

$80$

d)

$26$

29.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left(g\circ f\right)\left(x\right)$

a)

$-3x+1$

b)

$4x^2-7$

c)

$-2x^2+3$

d)

$5x^2+6$

30.

If $f\left(x\right)=x^2-2,$ $g\left(x\right)=x+9$ and $h\left(x\right)=-3x,$ find $f\left(g\left(h\left(3\right)\right)\right)$

a)

$-3$

b)

$7$

c)

$-2$

d)

$-7$

31.

If $f\left(x\right)=x^2-2,$ $g\left(x\right)=x+9$ and $h\left(x\right)=-3x,$ find $h\left(f\left(g\left(-2\right)\right)\right)$

a)

$-123$

b)

$-141$

c)

$-165$

d)

$134$

32.

f(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)

* means multiply

a)

16x² + 8x - 3

b)

16x² - 8x + 3

c)

16x² - 8x - 3

d)

16x² - 16x - 3

33.

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

a)

39

b)

-27

c)

-23

d)

-19

34.

g(x)=2x+2 and f(x)=x-1 Find (g*f)(x)

* means multiplication

a)

-3x³-7x²-2x

b)

2x³-2

c)

2x²-2

d)

2x²+4x+2

35.

$f\left(n\right)=3n+2$ and $g\left(n\right)=-3n-4$ Find: $\left(f+g\right)\left(-10\right)$

a)

-2

b)

91

c)

52

d)

31

Ch 5 Review Part 1

Total questions: 35

Worksheet time: 1hrs 3mins

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