Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10.

Unit 2 Test Review

1. Solve:

A. 13

B. 7

C. 5 ½

D. 10

3 10 2 1

2 1

Answer to #1

3 10 2 1 3 5 1 8 1 77

2 1 1 1 1

Which is B

2. Solve: (16 ÷ 4) + 4 • (22 – 2)

A. 16

B. 20

C. 12

D. 48

Answer to #2

(16 ÷ 4) + 4 • (22 – 2)4 + 4 • (4 – 2)4 + 4 • 24 + 812

Which is C

3. Solve: 6 • 7 – 3 • 4 + 1

A. 157

B. 28

C. 195

D. 31

Answer to #3:

6 • 7 – 3 • 4 + 142 – 12 + 130 + 131

Which is D

4. Which property is represented? 16 + 47 + 14 = 47 + 16 + 14

A. Commutative of addition

B. Commutative of multiplication

C. Associative of addition

D. Associative of multiplication

Answer to #4:

16 + 47 + 14 = 47 + 16 + 14

This is commutative property of addition since the 16 and 47 moved. (order changed)

Which is A

5. Which property is represented?(45 + 39) + 25 = (39 + 45 ) + 25

A. Commutative of addition

B. Commutative of multiplication

C. Associative of addition

D. Associative of multiplication

Answer to #5:

(45 + 39) + 25 = (39 + 45 ) + 25

This is commutative property of addition. It is not associative even though it has parentheses because the numbers moved not the grouping symbols.

Which is A

6. Which property is represented?

A. Commutative of addition

B. Commutative of multiplication

C. Associative of addition

D. Associative of multiplication

3 (6 4) (3 6) 4

Answer to #6:3 (6 4) (3 6) 4

This is associative property of multiplication because the grouping symbols move but the order of the numbers stays the same.

Which is D

7. Which property is represented?

A. Commutative of addition

B. Commutative of multiplication

C. Associative of addition

D. Associative of multiplication

3 (6 4) 3 (4 6)

Answer to #7

3 (6 4) 3 (4 6)

This is commutative property of addition because the order of the numbers changes but not the grouping symbols.

Which is A

8. Combine Like Termsh2 + 4h + 4h2 – h + 4 + h2 + 7h

A. 6h2 + 10h + 4

B. 16h2 + 4

C. 6h2 + 7h + 8

D. 5h2 + 11h + 4

Answer to #8:

h2 + 4h + 4h2 – h + 4 + h2 + 7hh2 + 4h2 + h2 + 4h – h + 7h + 4 6h2 + 10h + 4

Which is A

9. Which one of these simplifies to

3x2 + 3x – 6?

A. 6x2 + 3x + 6 – 3x2

B. 6x2 + x – 6 – 2x2 + 2x - x2

C. 6x2 + 3x – 6 + 3x2

D. 6x2 – 3x – 6 – 3x2

Answer to # 9:

Problem: 3x2 + 3x – 6

A. 6x2 + 3x + 6 – 3x2 = 3x2 + 3x + 6

B. 6x2 + x – 6 – 2x2 + 2x – x2 = 3x2 + 3x - 6

C. 6x2 + 3x – 6 + 3x2 = 9x2 + 3x - 6

D. 6x2 – 3x – 6 – 3x2 = 3x2 - 3x – 6

The answer is B

10. Simplify:

A. 74

B. 100

C. 64

D. 1324

6(8 2) 14 2

Answer to #10:

6(6) 14 2

36 28

64

6(8 2) 14 2

Which is C

11. Translate: three more than two times a number

A. 2x + 3

B. 2(3+x)

C. 2x – 3

D. 3 – 2x

Answer to #11:

three more than two times a number

More than means add

Times means multiply

So the answer is: 2x + 3 Which is A

12. Translate: five times the difference of six and a number

A. 5(6 – x)

B. 5x – 6

C. 5 (x – 6)

D. 5●6 - x

Answer to #12:

five times the difference of six and a number

Times means multiplyDifference means subtract

So the answer is 5(6 – x).Which is A

13.

Simplify: 3(2x + 2) + 4(3x + 2)

A. 18x + 4

B. 5x + 14

C. 5x + 4

D. 18x + 14

Answer to # 13:

3(2x + 2) + 4(3x + 2)

3 ● 2x + 3 ● 2 + 4 ● 3x + 4 ● 2

6x + 6 + 12x + 8

6x + 12x + 6 + 8

18x + 14

Which is D

14. Simplify: 6(2x + 3y) + 2(x + y)

A. 3x + 4y

B. 34xy

C. 14x + 20y

D. 30x + 4y

Answer to # 14:

6(2x + 3y) + 2(x + y)

6 ● 2x + 6 ● 3y + 2 ● x + 2 ● y

12x + 18y + 2x + 2y

12x + 2x + 18y + 2y

14x + 20y

Which is C

15. Simplify: 4(3x + 7)

A. 40x

B. 12x + 28

C. 12x + 7

D. 3x + 28

Answer to # 15:

4(3x + 7)

4 ● 3x + 4 ● 7

12x + 28

Which is B

16. Solve: 3x + 5 = 11

A. x = 6

B. x = 2

C. x = 5 1/3

D. x = 4

Answer to #16

3x + 5 = 11

-5 -5

3x = 6

3 3

X = 2 which is B

17. 2(3x + 4) = 32

A. X = 4 2/3

B. X = 6 ½

C. X = 4

D. X = 2

Answer to #17:

2(3x + 4) = 32

6x + 8 = 32

-8 -8

6x = 24

6 6

x = 4 which is C

19.

A. h = 68

B. h = 53

C. h = 43

D. h = 28

5 124

h

Answer to #19:

5 124

5 5 12 54

174

4 17 4468

h

h

h

h

h

Which is A

20. solve: 4x – 4 = 12

A. x = 7

B. x = 2

C. x = 4

D. x = 3

Answer to #20:

4x – 4 = 12

+4 = +4

4x = 16

4 4

x = 4

Which is C

A used mountain bike costs $79.95. This is $120 less than the cost of a new one. Write an algebraic equation to find the cost of a new bike. How much is it?

Let c be your variable.

C-120 = 79.95

The cost of a new bike is $120 + $79.95, which is $199.95.

In 2005, the largest bank in the world was UBS, Switzerland, with $1,533 billion in assets. This was $49 billion more than the largest bank in the U.S., Citigroup. Write and solve an equation to find Citigroup’s assets.

Let a = Citigroup’s assets

a + 49 = 1,533

A = $1,484 billion

Rodney had 53 baseball cards. Then he started to buy cards each week. After 1 week, Rodney had 73 cards. After 2 weeks, he had 93 cards. After 3 weeks, he had 113 cards. Write and solve a linear equation that will show how many cards Rodney will have after 5 weeks.

Since this is a linear equation, we know that we must have an x and y variable.

Let Y = how many cards Rodney has in total

Let X = how many weeks of card buying Rodney has done

Let 20 = how many cards he buys per week

Let 53 = how many cards he started with

Y = 20X + 53

Y = 20x5 + 53

Y = 153 cards