Transcript Unit 2 Test Review

Unit 2 Test
Review
3

10

2

1
1. Solve:
2 1
A. 13
B. 7
C. 5 ½
D. 10
Answer to #1
3  10  2  1 3  5  1 8  1 7


 7
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 • 2
4 + 8
 12
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 + 1
 42 – 12 + 1
 30 + 1
 31
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?
3  (6  4)  (3  6)  4
A. Commutative of addition
B. Commutative of multiplication
C. Associative of addition
D. Associative of multiplication
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?
3  (6  4)  3  (4  6)
A. Commutative of addition
B. Commutative of multiplication
C. Associative of addition
D. Associative of multiplication
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 Terms
h2 + 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 + 7h
 h2 + 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: 6(8  2)  14  2
A. 74
B. 100
C. 64
D. 1324
Answer to #10:
6(8  2)  14  2
6(6)  14  2
36  28
64
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 multiply
 Difference 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.
h
 5  12
4
A. h = 68
B. h = 53
C. h = 43
D. h = 28
Answer to #19:
h
 5  12
4
h
 5  5  12  5
4
h
 17
4
h
4   17  4
4
h  68
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