Free Printable 10.19.22 Alg Review 2 - Functions and Exponents

1.

Evaluate f(x)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

2.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

3.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

4.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

5.

Find f(0)

a)

6

b)

8

c)

10

d)

12

6.

Find f(2)

a)

8

b)

10

c)

12

d)

14

7.

Find x if f(x) = 6

a)

-2

b)

-1

c)

0

d)

1

8.

Find x if f(x) = 12

a)

-2

b)

-1

c)

0

d)

1

9.

Find h(-1)

a)

-3

b)

15

c)

4

d)

3

10.

Find x if h(x) = 23

a)

-1

b)

-2

c)

23

d)

17

11.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

12.

Evaluate for f(1)

a)

0

b)

-3

c)

3

d)

2

13.

complete the function notation below
f(____) = 214

a)

1990

b)

1991

c)

1989

d)

1994

14.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

15.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

16.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

17.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

18.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

19.

What is the RANGE of this graph?

a)

y < -3

b)

y ≤ -3

c)

y > 1

d)

y ≥ 1

20.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

21.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

22.

What is the range?

a)

{-2,2,5}

b)

{1,3,5,6}

c)

all real numbers

d)

-2<y<5

23.

What is the RANGE?

a)

0 ≤ x < 3

b)

0 < y ≤ 3

c)

-2 ≤ y < 1

d)

-2 ≤ y ≤ 1

24.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

25.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

26.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

27.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

28.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

29.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

30.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

31.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

32.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

33.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

34.

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

a)

add

b)

subtract

c)

multiply

d)

divide

35.

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

a)

$mn^7$

b)

$m^6n^4$

c)

$m^5n^4$

d)

$mn$

36.

Simplify

(v⁵)(v⁵)

a)

v¹⁰

b)

v²⁵

c)

2v¹⁰

d)

2v²⁵

37.

According to the law of exponents, when we multiply the same base, we _________ the exponents.

a)

divide

b)

multiply

c)

subtract

d)

add

38.

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

39.

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

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

40.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

41.

Simplify: $\frac{x^8y^7z^6}{x^5y^4z^3}$

a)

$x^3y^3z^3$

b)

$x^{13}y^{11}z^9$

c)

$\frac{1}{x^3y^3z^3}$

d)

$x^{40}y^{28}z^{18}$

42.

Write as a radical

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

a)

b)

c)

d)

43.

Write as a radical expression
$y^{\frac{2}{3}}$

a)

2y³

b)

$\sqrt{y^3}$

c)

$∛y^2$

d)

3y²

44.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

45.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

46.

Write using a rational exponent: $\sqrt[5]{x^3}$

a)

$x^{\frac{5}{3}}$

b)

$x^{\frac{3}{5}}$

c)

$x^2$

d)

$x^8$

47.

a)

9a⁸/4b²

b)

9b²/4a⁸

c)

9a⁴b⁶/4

d)

9a⁴/4b²

48.

Simplify using the 9 Laws of Exponents:

a)

b)

c)

d)

10.19.22 Alg Review 2 - Functions and Exponents

Total questions: 48

Worksheet time: 1hrs 29mins

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