unit 2 test review. 1. solve: a. 13 b. 7 c. 5 ½ d. 10
TRANSCRIPT
![Page 1: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/1.jpg)
Unit 2 Test Review
![Page 2: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/2.jpg)
![Page 3: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/3.jpg)
1. Solve:
A. 13
B. 7
C. 5 ½
D. 10
3 10 2 1
2 1
![Page 4: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/4.jpg)
Answer to #1
3 10 2 1 3 5 1 8 1 77
2 1 1 1 1
Which is B
![Page 5: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/5.jpg)
2. Solve: (16 ÷ 4) + 4 • (22 – 2)
A. 16
B. 20
C. 12
D. 48
![Page 6: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/6.jpg)
Answer to #2
(16 ÷ 4) + 4 • (22 – 2)4 + 4 • (4 – 2)4 + 4 • 24 + 812
Which is C
![Page 7: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/7.jpg)
3. Solve: 6 • 7 – 3 • 4 + 1
A. 157
B. 28
C. 195
D. 31
![Page 8: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/8.jpg)
Answer to #3:
6 • 7 – 3 • 4 + 142 – 12 + 130 + 131
Which is D
![Page 9: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/9.jpg)
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
![Page 10: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/10.jpg)
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
![Page 11: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/11.jpg)
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
![Page 12: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/12.jpg)
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
![Page 13: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/13.jpg)
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
![Page 14: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/14.jpg)
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
![Page 15: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/15.jpg)
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)
![Page 16: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/16.jpg)
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
![Page 17: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/17.jpg)
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
![Page 18: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/18.jpg)
Answer to #8:
h2 + 4h + 4h2 – h + 4 + h2 + 7hh2 + 4h2 + h2 + 4h – h + 7h + 4 6h2 + 10h + 4
Which is A
![Page 19: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/19.jpg)
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
![Page 20: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/20.jpg)
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
![Page 21: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/21.jpg)
10. Simplify:
A. 74
B. 100
C. 64
D. 1324
6(8 2) 14 2
![Page 22: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/22.jpg)
Answer to #10:
6(6) 14 2
36 28
64
6(8 2) 14 2
Which is C
![Page 23: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/23.jpg)
11. Translate: three more than two times a number
A. 2x + 3
B. 2(3+x)
C. 2x – 3
D. 3 – 2x
![Page 24: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/24.jpg)
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
![Page 25: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/25.jpg)
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
![Page 26: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/26.jpg)
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
![Page 27: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/27.jpg)
13.
Simplify: 3(2x + 2) + 4(3x + 2)
A. 18x + 4
B. 5x + 14
C. 5x + 4
D. 18x + 14
![Page 28: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/28.jpg)
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
![Page 29: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/29.jpg)
14. Simplify: 6(2x + 3y) + 2(x + y)
A. 3x + 4y
B. 34xy
C. 14x + 20y
D. 30x + 4y
![Page 30: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/30.jpg)
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
![Page 31: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/31.jpg)
15. Simplify: 4(3x + 7)
A. 40x
B. 12x + 28
C. 12x + 7
D. 3x + 28
![Page 32: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/32.jpg)
Answer to # 15:
4(3x + 7)
4 ● 3x + 4 ● 7
12x + 28
Which is B
![Page 33: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/33.jpg)
16. Solve: 3x + 5 = 11
A. x = 6
B. x = 2
C. x = 5 1/3
D. x = 4
![Page 34: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/34.jpg)
Answer to #16
3x + 5 = 11
-5 -5
3x = 6
3 3
X = 2 which is B
![Page 35: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/35.jpg)
17. 2(3x + 4) = 32
A. X = 4 2/3
B. X = 6 ½
C. X = 4
D. X = 2
![Page 36: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/36.jpg)
Answer to #17:
2(3x + 4) = 32
6x + 8 = 32
-8 -8
6x = 24
6 6
x = 4 which is C
![Page 37: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/37.jpg)
19.
A. h = 68
B. h = 53
C. h = 43
D. h = 28
5 124
h
![Page 38: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/38.jpg)
Answer to #19:
5 124
5 5 12 54
174
4 17 4468
h
h
h
h
h
Which is A
![Page 39: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/39.jpg)
20. solve: 4x – 4 = 12
A. x = 7
B. x = 2
C. x = 4
D. x = 3
![Page 40: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/40.jpg)
Answer to #20:
4x – 4 = 12
+4 = +4
4x = 16
4 4
x = 4
Which is C
![Page 41: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/41.jpg)
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.
![Page 42: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/42.jpg)
C-120 = 79.95
The cost of a new bike is $120 + $79.95, which is $199.95.
![Page 43: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/43.jpg)
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.
![Page 44: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/44.jpg)
Let a = Citigroup’s assets
a + 49 = 1,533
A = $1,484 billion
![Page 45: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/45.jpg)
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.
![Page 46: Unit 2 Test Review. 1. Solve: A. 13 B. 7 C. 5 ½ D. 10](https://reader031.vdocuments.site/reader031/viewer/2022020720/5514476b550346494e8b4c74/html5/thumbnails/46.jpg)
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