Free Printable Fall 2019 Algebra 2 Midterm review

1.

Solve:

6x+10>5x-12

a)

(2,inf)

b)

(-inf,2)

c)

(-inf,-22)

d)

(-22,inf)

2.

54x + 64 ≥ 49x + 59

a)

[-1,inf)

b)

(-inf,-1]

c)

(9,inf)

d)

(-inf,3)

3.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

4.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

5.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

6.

If h(a) = 3 - 2x², find h(-3).

a)

33

b)

21

c)

39

d)

-15

7.

For $f\left(x\right)=\left|x\right|-16$ , find $f\left(0\right)$

a)

16

b)

-16

c)

0

d)

-17

8.

For $f\left(x\right)=\left|x-2\right|-4$ , find $f\left(2\right)$

a)

-4

b)

4

c)

0

d)

-5

9.

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

a)

n²+3n-5

b)

-n³+2n-7

c)

n³+3n-3n

d)

n²-3n-5

10.

Given
f(x)=3x²+7x and g(x)=2x²-x-1, find (f+g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

11.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

12.

a)

y = -(x + 1)² - 4

b)

y = -(x + 1)² + 4

c)

y = -(x - 1)² - 4

d)

y = (x + 1)² + 4

13.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

14.

a)

b)

c)

d)

15.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

16.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

17.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

18.

Factor
x² + 4x + 3

a)

(x - 1)(x - 3)

b)

(x + 1)(x + 3)

c)

(x - 1)(x + 3)

d)

(x + 1)(x - 3)

19.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

20.

Factor
2x² - 13x - 70

a)

(2x-7)(x+10)

b)

(7x+5)(x+2)

c)

(2x+7)(x-10)

d)

2(x+7)(x+10)

21.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

22.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

23.

How many roots does this quadratic have?

a)

Two Real Roots

b)

One Real Root

c)

No Real Roots

d)

Four Real Roots

24.

How many roots does this parabola have?

a)

3

b)

2

c)

0

d)

1

25.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

26.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t² + 64t + 80.
What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

27.

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the maximum height occur?

a)

6 seconds

b)

3 seconds

c)

145 seconds

d)

160 seconds

28.

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

a)

10 seconds

b)

64 seconds

c)

960 seconds

d)

2 seconds

29.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

30.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

31.

Solve the system:

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

32.

Solve the system

x - 2y = 2

3x + 4y = 3

a)

(1.4, -0.3)

b)

(3.1, 5)

c)

(-2.5, 3.5)

d)

(6.9, 1.02)

33.

What is the equation to this graph?

a)

f(x)= Ix+2I +1

b)

f(x)= Ix-2I +1

c)

f(x)= Ix+2I -1

d)

f(x)= Ix-2I -1

34.

a)

y = (x - 2)² + 2

b)

y = (x + 2)² + 2

c)

y = (x - 2)² - 2

d)

y = -(x - 2)² + 2

35.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

36.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

37.

Describe the transformation that occurred

f(x - 4)

a)

down 4

b)

left 4

c)

right 4

d)

up 4

38.

Describe the transformation that occurred

f(x) - 7

a)

up 7

b)

down 7

c)

left 7

d)

right 7

39.

Describe the change, g(x), in terms of f(x) for the transformation described. Vertical translation 4 units down.

a)

g(x) = f(x + 4)

b)

g(x) = f(x - 4)

c)

g(x) = f(x) + 4

d)

g(x) = f(x) - 4

40.

Describe the change, g(x) in terms of f(x) for the transformation described. Horizontal translation 4 units left.

a)

g(x) = f(x) + 4

b)

g(x) = f(x - 4)

c)

g(x) = f(x) - 4

d)

g(x) = f(x + 4)

41.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

42.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

43.

a)

A

b)

B

c)

C

d)

D

44.

Determine the solutions to the given linear-quadratic system.

a)

1

b)

0 and 1

c)

-0.5 and 1.5

d)

-1 and 2

45.

What are the zeros of the function?

a)

-6 and 0

b)

0 and 6

c)

0, 3, and 6

d)

none

46.

what is the domain and range of the function?

a)

Domain: [0,6]; Range [-9,0]

b)

Domain: R; Range $\left[-9,\infty\right)$

c)

Domain: R; Range R

d)

Domain: $\left[-9,\infty\right)$ ; Range R

47.

the function is decreasing over the interval:

a)

$\left(0,6\right)$

b)

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

c)

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

d)

$\left(3,\infty\right)$

48.

find f(3)

a)

4

b)

-5

c)

0

d)

-9

49.

for what value(s) of x does f(x)=-5?

a)

x = 6 and x = 0

b)

x = 0

c)

x = 1 and x = 5

d)

x = 2 and x = 3

50.

what is the average rate of change from x=0 to x=3?

a)

-3

b)

3

c)

-1

d)

1/3

51.

What are the zeros of the function?

a)

-10, 0, and 2

b)

0 and 2

c)

-10 and 2

d)

none

52.

what is the domain and range of the function?

a)

Domain: [0,-10]; Range [-1,0]

b)

Domain: R; Range $\left[-1,\infty\right)$

c)

Domain: R; Range R

d)

Domain: $\left[-1,\infty\right)$ ; Range R

53.

the function is decreasing over the interval:

a)

$\left(9,-1\right)$

b)

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

c)

$\left(-\infty,-2\right)\cup\left(1,\infty\right)$

d)

$\left(-2,1\right)$

54.

find f(-2)

a)

5

b)

8

c)

0

d)

-1

55.

for what value(s) of x does f(x)=3?

a)

x = -7 and x = 3

b)

x = -7, x=-1, and x=3

c)

x = -1 and x = 3

d)

x = -7 and x = -1

56.

what is the average rate of change from x=-8 to x=3?

a)

-2

b)

1/2

c)

-1

d)

1

57.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

58.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

59.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

60.

Determine which graph is a function

a)

b)

c)

d)

Fall 2019 Algebra 2 Midterm review

Total questions: 60

Worksheet time: 6hrs 46mins

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