# Algebra 1a Final Exam--january 2012

48 Questions  Settings  Related Topics
• 1.
A man packed ten boxes, each of which had five dots on one end and twice as many dots on the other end.  How many dots were on the boxes, altogether?
• A.

80

• B.

100

• C.

120

• D.

150

• 2.
Which property is shown in the following problem?  (2 + 3) + 4 = 2 + (3 + 4)
• A.

Associative

• B.

Commutative

• C.

Distributive

• D.

Identity

• 3.
Which property is shown in the following problem?  4 (2c – a) = 8c – 4a
• A.

Associative

• B.

Commutative

• C.

Distributive

• D.

Identity

• 4.
Which property is shown in the following problem? 22 + 23 = 23 + 22
• A.

Associative

• B.

Commutative

• C.

Distributive

• D.

Identity

• 5.
(8a3/125a6)1/3 = ?
• 6.
Distribute and simplify the following problem: 2 (2c - 4a)
• 7.
Evaluate and simplify the expression: a = -2; b = 3; c = -5 b + 2c
• A.

-12

• B.

8

• C.

-7

• D.

2

• 8.
Evaluate and simplify the expression: a = -2; b = 3; c = -5 ba / c = ?
• A.

-9/5

• B.

-9/45

• C.

-1/45

• D.

-1/5

• 9.
(3) ((-2)2 + 1) = ?
• A.

-9

• B.

12

• C.

15

• D.

18

• 10.
[9210 + 1 * 2] / 3  = ?
• A.

2

• B.

1

• C.

0

• D.

-1

• 11.
Express the following phrase algebraically:  The product of a number and 6
• A.

6 / x

• B.

6 (x)

• C.

6

• D.

X

• 12.
The number of flowers in a vase is an infinite number.
• A.

True

• B.

False

• 13.
Solve and simplify: [2 (-5) (-3)] / [2 (-3) – 3 (-3)] -1 =
• A.

7

• B.

8

• C.

9

• D.

10

• 14.
Solve and simplify: 42 + 8 (-3) / -4 =
• A.

16

• B.

18

• C.

20

• D.

22

• 15.
• A.

-11

• B.

11

• C.

-9

• D.

9

• 16.
• A.

3

• B.

1

• C.

-1

• D.

-3

• 17.
• A.

1/9

• B.

1/6

• C.

1/5

• D.

1

• 18.
[(34)3 (32)4] / [(-3)15 (3)4] = ?
• A.

-9

• B.

-3

• C.

3

• D.

9

• 19.
38 / 35 – 42 (24) / 26 = ?
• A.

27

• B.

-16

• C.

23

• D.

-12

• 20.
12x + 3y + 16z – 9x +2z – 3y = ?
• A.

0

• B.

3x + 6y + 18z

• C.

3x -6y + 18z

• D.

3x + 18z

• 21.
What will the denominator be after   is rationalized?
• A.

4

• B.

7

• C.

21

• D.

28

• 22.
• 23.
What will the denominator be after   is rationalized?
• A.

3

• B.

5

• C.

10

• D.

15

• 24.
• A.

5ab

• B.

10ab

• C.

20a

• D.

20b

• 25.
What will the numerator be after   is rationalized?
• A.

27/8 a

• B.

3a

• C.

3

• D.

2a

• 26.
• 27.
• 28.
What will the denominator be after   is rationalized?
• A.

2b

• B.

6b

• C.

8b

• D.

6

• 29.
• A.

4

• B.

8

• C.

12

• D.

16

• 30.
112 + 8 (-3) / -6 = ?
• 31.
• A.

B

• B.

C

• C.

A

• D.

Abc

• 32.
• 33.
• A.

4

• B.

8

• C.

0

• D.

-2

• 34.
32 – 32 [43 (6 + 2) -32]0 = ?
• 35.
• 36.
Choose the inequality equation, below, that describes the following statement: The number of dogs in the pound was less than 10.
• A.

X > 10

• B.

X < = 10

• C.

X < 10

• D.

X = 10

• 37.
9 = [(½ ) x] + 3 x = ?
• 38.
[(-1/4) x] + 6 = 2 x = ?
• 39.
Solve for y, in the following system of equations: 2y – x = 1 2x + y = 8
• 40.
A car travels 51 miles in 3 hours.  How far would it travel in 5 hours?
• A.

20 miles

• B.

40 miles

• C.

60 miles

• D.

85 miles

• 41.
A dragon ran 3 miles in 8 seconds.  How many miles could the dragon run in 24 seconds?
• A.

4 miles

• B.

8 miles

• C.

9 miles

• D.

10 miles

• 42.
• A.

0

• B.

1

• C.

2

• D.

3

• 43.
Solve for x, in the following system of equations: 2y – x = 1 2x + y = 8
• 44.
Suppose that the monthly expenses of a factory are given by: E = pm + R.  Use this formula to solve the following problem: E = monthly expenses p = number of items made each month m = cost of the raw materials to make one item R = Monthly Rent Suppose the rent on a factory is \$300 per month and it makes 50 items each month.  If the raw materials to produce one item cost \$10, what are the total monthly expenses?
• 45.
8x / 4x = x1/2 x = ?
• A.

0

• B.

1

• C.

2

• D.

4

• 46.
Use the formula I = prt to solve the following problem: I = Interest p = principal r = rate t = time Find the simple interest for a loan of \$1,000 with an interest rate of 11.5% for a period of 2 years.  (When you enter the interest rate into the formula, enter it as a decimal, not a percent.)
• 47.
(1,000,000)1/2 – 999 = x3 x= ?
• A.

0

• B.

1

• C.

2

• D.

4

• 48.
• A.

0

• B.

1

• C.

2

• D.

3