2014-2015 Algebra 1 A Review Answers - Montgomery County Public Schools

ALGEBRA 1 A

Semester Exam Review ANSWERS

Unit 1, Topic 1

1.

W

P 2L 2

or

1 2

P

2L

or

P 2

L

or

1 2

P

L

2.

A.

C

5F

160 9

3. B. The equation is always true, because both sides are identical.

4. A. There is one solution, and it is x 30 .

5. C. The equation is never true, because solving gives the statement 27 15 .

6. a. H 400

b. The total amount of money earned by selling sodas in a day was at least $1,000.

c.

H S F

d.

S C

e.

H PH F PF 2000

f. 200 orders of fries were sold.

1500 F 3F 700 800 4F 200 F

7. Distributive Property

Addition Property of Equality

Multiplication Property of Equality

8. Subtraction Property of Equality (Addition Property is ok)

Multiplication Property of Equality

Distributive Property

MCPS ? 2014?2015

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ALGEBRA 1 A 9. a. His score was 69.

Semester Exam Review ANSWERS

S

2

36

12 4

69.

b. She got 20 questions wrong.

53

2

29

W 4

53

58

W 4

5

W 4

20 W

c. He got 41 questions correct.

80

2C

8 4

80 2C 2

C 41

Unit 1, Topic 2

10. B. 20.00 3.75b 41.25

11.

Statement

True or Justification (Note: It is ok to pick two numbers for a and b and show False? that the statements are true or false based on those numbers)

a8b8

True

Adding the same number to both sides of an inequality does not change the direction of the inequality.

a7 b7

True

Subtracting the same number to both sides of an inequality does not change the direction of the inequality.

7a 7b

False

Multiplying the same side of the inequality by a negative number means that the direction of the inequality must be changed.

a 10

b 10

True

Dividing both sides of an inequality by a negative number means that the direction of the inequality must be changed.

MCPS ? 2014?2015

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ALGEBRA 1 A

Semester Exam Review ANSWERS

12. a. b. c. d.

$320 50 100h 600 h 5.5

0

1

2

3

4

5

6

7

e. In order for Mr. Flood to pay at most $600, the plumber can spend at most 5.5 hours fixing the leak.

13. B. 4x 9 17

14. a. 88 53.75 $69.25

b.

88 3.75w 25

3.75w 63

w 16.8

Kendall can buy Young Teen magazine for 16 weeks.

MCPS ? 2014?2015

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ALGEBRA 1 A

Semester Exam Review ANSWERS

Unit 1, Topic 3

15. A. 25x

16. C. 17. a.

164x 16x7

Month

0 1 2 3 4 5 6 7 8 9 10

Number of Comic Books that Jared has 1 3 9 27 81 243 729 2187 6561 19683 59049

Number of Comic Books that Sally has

1 9 81

b. 12 months after Jared started collecting, or 4 months after Sally started collecting

c.

3m

d.

9m8

e. 16 months (solution below)

3m 9m8 3m 32m8 3m 32m16 m 2m 16 m 16

MCPS ? 2014?2015

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ALGEBRA 1 A

Semester Exam Review ANSWERS

18. a. b. c. d.

e. f.

84 4096

322 1024

The number of Cranicus bacteria h hours after on cell of Cranicus bacteria was put in the dish.

The number of Bevus bacteria h hours after one cell of Cranicus bacteria was put in its dish. The exponent is h 4 because the first Bevus bacteria was put in its dish 4 hours after the first Cranicus bacteria was put in.

8 2 3, 32 2 5

10 hours (solution below)

8h 32h4 23h 25h4 3h 5h 20 2h 20 h 10

19. a.

3x2 37 x27 x5

9x2 27x

c.

32 x2 33x

2x 4 3x

x4

25x1 5x3

b.

52 x1 5x3

2x 2 x 3

x 5

1x 4

8x3

22x 23 x3

d. 2x 3x 9

9 5x

9 5

x

MCPS ? 2014?2015

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