Free Printable Algebra 2 Final

1.

Which expression represents "the product of a number g and 8"?

a)

8 ÷ g

b)

8g

c)

g + 8

d)

g - 8

2.

In the expression $x^2 + 6x + 9$ , which is the coefficient?

a)

2

b)

6

c)

x

d)

9

3.

In the expression 5y + r + 6 + 7, how many terms are there?

a)

3

b)

1

c)

4

d)

2

4.

Which expression represents "the difference of a number y and 6"?

a)

y - 6

b)

6 + y

c)

6 - y

d)

y/6

5.

Which expression is equivalent to 12x + 20y?

a)

12(x + 8y)

b)

4(3x + 5y)

c)

6(2x + 3y)

d)

3(4x + 7y)

6.

What is the value of the expression $xy - y^3$ when x = 6 and y = 2?

a)

54

b)

4

c)

15

d)

1000

7.

Evaluate $2a^2 + 3b - 4a$ when a = 6 and b = 4

a)

12

b)

48

c)

60

d)

20

8.

Evaluate $c^2 · 2c ÷ d^3 + 10$ when c = 8 and d = 4

a)

4106

b)

656

c)

26

d)

14

9.

Evaluate 2ef - f^2 + 4e when e = 10 and f = 6

a)

13,036

b)

148

c)

144

d)

124

10.

Evaluate $g^2 ÷ (4·h)$ when g = 12 and h = 4

a)

9

b)

1.5

c)

12

d)

144

11.

Solve: |5x + 10| = 30

a)

x = 7 and x = -8

b)

x = 4 and x = -8

c)

x = 7 or x = -8

d)

x = 4 or x = -8

12.

What is the solution to the equation 2|3x - 1| - 1 = -5?

a)

x = -1/3

b)

no solution

c)

x = -1/3 and x = 1

d)

x = 1

13.

3. |2x + 1| + 5 = 1

a)

{-5, 3}

b)

All Real Numbers

c)

No Solution

d)

{-3, 5}

14.

Which of the following equations would have NO SOLUTION?

a)

|-2a + 1| = 17

b)

|2x + 3| = -5

c)

|b - 11| = 15

d)

|5x + 9| = 11

15.

Which of the following equations will have a solution of x = -6 or x = 5?

a)

|3x + 4| = 13

b)

|-x + 4| = -12

c)

|2x - 4| = 22

d)

|-2x - 1| = 11

16.

Solve, |3x - 2| - 10 = 0

a)

4

b)

8/3

c)

-4

d)

-8/3

17.

Solve: |5x - 10| = 20

a)

x = -6, 2

b)

x = -2

c)

x = -2, 6

d)

x = 6

18.

Solve the absolute value equation: |6x - 4| = 12.

a)

x = 8/3, -4/3

b)

x = 12/3, -6/3

c)

x = 4/3, -8/3

d)

x = 2/3, -2/3

19.

Identify the solutions to |x - 2| = 10

a)

x = ±12

b)

x = -12, x = 8

c)

x = 12, x = -8

d)

x = ±10

20.

Do the following lengths form a right triangle?

a)

True

b)

False

21.

Do the following lengths form a right triangle?

a)

True

b)

False

22.

Do the following lengths form a right triangle? Triangle with sides 8, 10, 6

a)

True

b)

False

23.

Do the following lengths form a right triangle? Triangle with sides 3, 4, 5

a)

True

b)

False

24.

Do the following lengths form a right triangle? 5) a = 6.4, b = 12, c = 12.2

a)

True

b)

False

25.

Do the following lengths form a right triangle? 6) a = 2.1, b = 7.2, c = 7.5

a)

True

b)

False

26.

p^2 + m; use m = 1, and p = 5

a)

17

b)

-14

c)

-12

d)

26

27.

2. z(x + y); use x = 6, y = 8, and z = 6

a)

73

b)

46

c)

84

d)

81

28.

12k - h^2; use h = 2, and k = 3

a)

61

b)

43

c)

54

d)

32

29.

y^2 - x; use $x = 7$ , and $y = 7$

a)

52

b)

42

c)

34

d)

24

30.

Simplify the following: $-2 \cdot (3 + 8 + 4)^2$

a)

4

b)

1,375

c)

-50

d)

-16

31.

Evaluate 5|3-x| - 15 when x = 5

a)

5

b)

30

c)

-25

d)

-5

32.

The length of a rectangle is 20 inches. The width is 10 inches. Use the formula P=2L+2W to find the length.

a)

420 inches

b)

80 inch

c)

42 inches

d)

60 inches

33.

Evaluate the expression: $2x(3x - y)^2$ when x=3 and y=5.

a)

32

b)

16

c)

96

d)

576

34.

√(8t + 4) - 2 when t = 4

a)

7

b)

4

c)

34

d)

6

35.

3√x - 5 + 10, when x = 54. Evaluate below.

a)

62

b)

20

c)

177

d)

31

36.

9a - ab + 5b if a = 2 and b = 7

a)

32

b)

39

c)

37

d)

67

37.

$r^3 + 2s^2$ if r = -3 and s = 4

a)

37

b)

5

c)

59

d)

91

38.

$\frac{2s + 9}{3r \div s}$ - |1 - s| if r = -14 and s = 6

a)

-8

b)

8

c)

-2

d)

-4

39.

Solve the following: -12 ÷ 6 (-3) + 8

a)

3

b)

-22

c)

2

d)

-14

40.

Evaluate when a = 15: 2(a - 5) + 2

a)

22

b)

14

c)

7

d)

27

41.

How many degrees is a Right triangle

(a)

42.

What is a hypotenuse?

4 lines

43.

Show the formula of the Pythagorean theorem .

4 lines

44.

π means how much?

a)

4.2

b)

3

c)

3.14159265

d)

5.14

45.

The radius is what part of the circle?

(a)

Algebra 2 Final

Total questions: 45

Worksheet time: 29mins

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