Free Printable Assessment 2 Review

1.

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

a)

add

b)

subtract

c)

multiply

d)

divide

2.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

a)

add

b)

subtract

c)

multiply

d)

divide

4.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

5.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

6.

Simplify

a)

b)

c)

d)

7.

Simplify:

a)

x⁶y⁴

b)

x²y⁴

c)

x⁸y⁴

d)

x⁸y

8.

Simplify:

a)

x⁵

b)

1/x⁵

c)

x^-5

d)

x³⁶

9.

Which expression is equivalent to $\frac{x^2y^2z^2}{4y^4}$ ?

a)

$4y^6$

b)

$y^6$

c)

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

d)

$4x^2y^6z^2$

10.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

11.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

12.

Simplify:

a)

2

b)

8

c)

16

d)

32

13.

Write the expression in exponential form.

$\sqrt[]{x}$

a)

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

b)

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

c)

$x$

d)

$x^2$

14.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

15.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

16.

√128

a)

64√2

b)

16

c)

2√8

d)

8√2

17.

∜m³ is the same as which answer?

a)

m^3/4

b)

m¹²

c)

m^4/3

d)

m⁷

18.

What is the equation that best represents the graph?

a)

y=2^y

b)

y=2^x

c)

y=2^-x

d)

y=x²

19.

What is the domain and range of the function y=2^x?
Use the graph to help!

a)

Domain: −∞<x<∞
Range: y>0

b)

Domain: −∞<x<∞
Range: y>1

c)

Domain: −2<x<∞
Range: y>0

d)

Domain: −∞<x<∞
Range: y>0

20.

Is the pictured graph exponential growth, exponential decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

21.

Given y=3^xdetermine the y-intercept

a)

(0,1)

b)

(0,3)

c)

No Y-intercept

d)

y=1

22.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

23.

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x?

a)

y=0.5

b)

y=13

c)

y=6

d)

y=0

24.

What is the horizontal asymptote for the graph of

f(x)=2(3)^x ?

a)

y=2

b)

y=0

c)

y=3

d)

x=-4

25.

What function is present?

a)

Absolute Value

b)

Exponential Decay

c)

Linear Equation

d)

Exponential Growth

26.

What type of function is present? f(x) = 2^x?

a)

Exponential Growth

b)

Linear Equation

c)

Absolute Value

d)

Exponential Decay

27.

Which graph is an exponential function?

a)

red

b)

blue

c)

green

d)

none

28.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

29.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

30.

In an exponential function, what does the 'a' represent?

a)

Input

b)

Rate of change

c)

Y-intercept/Initial value

d)

Output

31.

Is this exponential growth or decay?

a)

Growth

b)

Decay

32.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

33.

Simplify:

(2x² - 2x + 3) + (3x² + 4x - 5)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

34.

Simplify:

(4n² - 8n + 4) - (8n² + 4n + 1)

a)

-4n² - 12n + 3

b)

12n² - 4n + 5

c)

-4n²- 4n + 5

d)

-7n² - 4n + 3

35.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

36.

(2x − 3)(2x + 3)

a)

4x² − 12x + 9

b)

4x² − 9

c)

4x² + 9

d)

4x² + 6x − 9

37.

(x + 3)(x + 7)

a)

x² + 10x + 21

b)

x² + 21

c)

x² + 4x + 21

d)

x² − 10x + 21

38.

Simplify the expression.

-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

39.

Evaluate: (3x + 5)(x + 4)

a)

$3x^{2\ }+\ 17x\ +20$

b)

$3x^{2\ }+\ 7x\ +\ 20$

c)

$4x\ +\ 20$

d)

$3x^2\ +\ 12x\ +\ 20$

40.

Evaluate: (x + y)(x + y)

a)

$x^{2\ }+2xy\ +\ y^2$

b)

$2x\ +\ 2y$

c)

$x^{2\ }+\ y^2$

d)

$x^2\ _{\ }+\ 2x\ +\ 2y\ +\ y^2$

41.

Evaluate: (2x - 1)(3x + 7)

a)

$5x^{2\ }+15x\ -\ 7$

b)

$6x\ -\ 7$

c)

$6x^{2\ }+\ 11x\ -\ 7$

d)

$6x^2\ _{\ }+\ 17x-7$

42.

Evaluate: $\left(2r\ -\ 4\right)\left(7r^{2\ }-6r\ -\ 6\right)$

a)

$14r^3\ -\ 40r^{2\ }+\ 12r\ +\ 24$

b)

$14r^3\ -12r-\ 12$

c)

$-28r^{\ 2}+24r\ +\ 24$

d)

$14r^3\ -12r\ -28r^2\ +24$

43.

Classify by number of terms:

3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

e)

Constant

44.

Name and Classify the Polynomial:
x² − 4

a)

2nd degree binomial

b)

2nd degree monomial

c)

1st degree binomial

d)

1st degree monomial

45.

Name and Classify the Polynomial:

2x²+ 3x − 8

a)

2nd degree binomial

b)

2nd degree trinomial

c)

1st degree binomial

d)

1st degree monomial

46.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

47.

Solve using long division $\left(2x^2+6x-20\right)\div\left(2x-4\right)$

a)

$x+5+\frac{2}{2x-4}$

b)

$x-8$

c)

$x-5+\frac{3}{2x-4}$

d)

$x+5$

48.

Factor $x^2-10x\ +\ 21$

a)

(x + 3)(x + 7)

b)

(x - 3)(x + 7)

c)

(x - 7)(x - 3)

d)

(x - 5)(x + 2)

49.

Factor $w^2-18w\ +\ 81$

a)

(w - 9)(w + 9)

b)

$\left(w\ +\ 9\right)^2$

c)

(w + 10)(w - 1)

d)

$\left(w-9\right)^2$

50.

$Factor:\ \ x^2+x-72$

a)

(x - 9)(x + 8)

b)

(x + 6)(x - 12)

c)

(x + 36)(x + 2)

d)

(x - 8)(x + 9)

51.

Factor:
$x^2+16x\ +\ 64$

a)

$\left(x\ +\ 8\right)^2$

b)

(x - 8)(x + 8)

c)

(x + 1)(x - 16)

d)

$\left(x\ -\ 8\right)^2$

52.

$h^2-2h-80$ Factor:

a)

(h + 4)(h - 20)

b)

(h - 8)(h - 10)

c)

(h + 8)(h - 10)

d)

(h + 10)(h - 8)

53.

$p^2-22p+121$ Factor:

a)

$\left(p+11\right)^2$

b)

$\left(p\ -11\right)\left(p+11\right)$

c)

$\left(p-11\right)^2$

d)

$\left(p\ +\ 22\right)\left(p\ -1\right)$

54.

$m^2-8m\ +\ 15$ Factor:

a)

$\left(m\ -3\right)\left(m\ -5\right)$

b)

$\left(m\ +5\right)\left(m+3\right)$

c)

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

d)

$\left(m+15\right)\left(m\ -1\right)$

55.

$w^2+8w\ -\ 20$ Factor:

a)

$\left(w+5\right)\left(w-4\right)$

b)

$\left(w-2\right)\left(w+10\right)$

c)

$\left(w+20\right)\left(w-2\right)$

d)

$\left(w-1\right)\left(w+20\right)$

Assessment 2 Review

Total questions: 55

Worksheet time: 2hrs 50mins

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