Free Printable Math 3 Midterm Review

1.

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

2.

2x³ - 5x² + 3x + 7
÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

3.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

4.

What is the end behavior for
f(x)=2x²+x

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

Simplify.

a)

A.

b)

B.

c)

C.

d)

D.

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

a

b)

b

c)

c

d)

d

11.

Divide the Rational Expression

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

12.

$Which\ fraction\ is\ equivalent\ to\ \frac{4a}{8b^4}\div\frac{8a^5}{3b^2}$

a)

$\frac{3}{16a^4b^2}$

b)

$\frac{4a^6}{3b^6}$

c)

$\frac{3a^4b^2}{16}$

d)

$\frac{32a^6}{24b^6}$

13.

Which expression is equivalent to $\left(\frac{x^2+5x+4}{x^2-5x+4}\right)\left(\frac{4x-16}{2x+2}\right)$

a)

2

b)

$\frac{4\left(x+4\right)}{2\left(x-1\right)}$

c)

$\frac{2\left(x+4\right)}{x-1}$

d)

$\frac{\left(x+1\right)\left(x+4\right)}{\left(x-4\right)\left(x-1\right)}$

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

b)

c)

d)

16.

Bob has factored the denominators and made sure there is a common denominator. He must be...

a)

Adding or Subtracting Rational Expressions

b)

Multiplying Rational Expressions

c)

Dividing Rational Expressions

17.

Julie has factored the numerators and denominators and multiplied by the reciprocal (keep it, flip it, multiply it). She must be…

a)

Adding or Subtracting Rational Expressions

b)

Multiplying Rational Expressions

c)

Dividing Rational Expressions

18.

a)

b)

c)

d)

19.

Simplify $\frac{x+3}{6}-\frac{x-5}{12}$

a)

$\frac{11}{12}$

b)

$\frac{x-2}{12}$

c)

$\frac{x}{6}$

d)

$\frac{x+11}{12}$

20.

Tina wants to save $200. She saves $0.01 on day 1, $0.03 on day 2, and $0.09 on day 3. If the amount of money that Tina saves each day continues to follow this pattern, on what day will she first have saved $200.00 or more?

a)

8

b)

11

c)

10

d)

12

21.

Change 6.75% to a decimal.

a)

67.5

b)

.675

c)

675

d)

.0675

22.

What is the initial value for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

23.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

24.

The population of seagulls in Miami Beach is changing according to the equation
$y=95\left(0.91\right)^t$ where y = population in billions and t = time in years. Which statement describes how the seagulls population is changing?

a)

The population is decreasing at a rate of 9%

b)

The population is increasing at a rate of 91%

c)

The population is decreasing at a rate of 91%

d)

The population is increasing at a rate of 9%

25.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

26.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

27.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

28.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

29.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

30.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

31.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

32.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

33.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

c)

x →∞, y→∞

d)

x →∞, y→∞

34.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

35.

Find the inverse of the function $f\left(x\right)=\frac{-3x+2}{4}$

a)

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

b)

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

c)

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

d)

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

36.

What is the equation of the graph below?

a)

f(x) = I x I -1

b)

f(x) = I x I +1

c)

f(x) = - I x I -1

d)

f(x) = -I x I +1

Math 3 Midterm Review

Total questions: 36

Worksheet time: 1hrs 21mins

Similar Resources on Wayground