Free Printable Algebra 2nd Semester Exam Review

1.

Factor the expression: 10v² + 11v - 8

a)

(5v + 8)(2v + 1)

b)

(v + 8)(v - 1)

c)

(5v + 8)(2v - 1)

d)

(10v - 8)(v + 1)

2.

Factor the expression: w² - 15w - 54

a)

(w + 6)(w - 9)

b)

(w + 3)(w - 18)

c)

(w + 2)(w - 27)

d)

(w - 6)(w + 9)

3.

Factor: 49x² - 100

a)

(49x + 100)(x - 1)

b)

(7x - 10)(7x + 10)

c)

(49x - 10)(x + 10)

d)

(7x -10)(7x - 10)

4.

Factor: x² - 36

a)

(x + 6)(x - 6)

b)

(2x - 6)(2x + 6)

c)

(x - 18)(x + 18)

d)

(x + 18)(x + 18)

5.

Simplify √50

a)

2√5

b)

25√2

c)

5√2

d)

10√2

6.

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1- 1

a)

14

b)

13

c)

17

d)

16

7.

√108

a)

3√12

b)

4√27

c)

8√2

d)

6√3

8.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

9.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

10.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

11.

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

12.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

13.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

a)

$800

b)

$8367.70

c)

$6600

d)

$25,707.36

14.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

e)

None of these

15.

Simplify the radical - 3√44

a)

6√11

b)

11√6

c)

2√11

d)

8√3

16.

Multiply and Simplify.

\left(3x+2\right)\left(2x-7\right)

a)

$6x^2-14$

b)

$5x^2-5$

c)

$6x^2-17x-14$

d)

$6x^2+25x-14$

17.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

18.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

19.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

20.

solve:
4x²+16x+15=0

a)

-5/2,-3/2

b)

(2x+5)(2x+3)

c)

-10,-6

d)

5/2, 3/2

21.

Multiply and Simplify.

\left(x+3\right)\left(x-5\right)

a)

$x^2-2x-15$

b)

$x^2+3x-15$

c)

$x^2-15$

d)

$x^2+15$

22.

Express the area of the rectangle above in terms of x. _{^{(click on the image to enlarge)}}

a)

8x²+28x+11

b)

8x²-4x+11

c)

8x²+4x-24

d)

8x²+28x+24

23.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

24.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

25.

Solve:
X² - 3 =6X + 10

a)

X = 7, -1

b)

X = -7, 1

c)

X = -7, -1

d)

No Solution

26.

A graph of $f\left(x\right)=6x^2-11x+3$ is shown on the grid.

What are the zeros of f?

a)

$3$

b)

$2$ and $9$

c)

$\frac{11}{12}$

d)

$\frac{1}{3}$ and $\frac{3}{2}$

27.

A graph of a quadratic function is shown on the grid.

Which coordinates best represent the vertex of the graph?

a)

$\left(2.4,0\right)$

b)

$\left(0,-1\right)$

c)

$\left(-0.4,0\right)$

d)

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

28.

Quadratic function $h$ can be used to model the height in feet of a rocket from the ground $t$ seconds after it was launched. The graph of the function is shown.

Which of the following statements is true?

a)

The minimum value of the graph is $0$

b)

The graph has exactly one zero

c)

The axis of symmetry is $x=144$

d)

The maximum value of the graph is $225$

29.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

30.

√5 + √20

a)

5

b)

25

c)

3√5

d)

2√3

31.

What are the zeros (x-intercepts, roots, solutions)?

a)

(0,0) and (2,0)

b)

(-4,0) and (0,0)

c)

(0,0) and (0,4)

d)

(0,0) and (4,0)

32.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

33.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

34.

What is the equation of this table?

a)

y=512(1/4)^x

b)

y=32(4)^x

c)

y=32(1/4)^x

d)

y=512(4)^x

35.

Which of the following quadratic equations best represents the following data?

a)

y = 4x² + 1

b)

y = 3x² + 8x - 3

c)

y = 4x²

d)

y = 3x² + 3x - 1

Algebra 2nd Semester Exam Review

Total questions: 35

Worksheet time: 2hrs 41mins

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