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1) In an...

1) In an interview of 50 math majors;

12 liked calculus and geometry

18 liked calculus but not algebra

4 liked calculus, algebra, and geometry

25 liked calculus

15 liked geometry

10 liked algebra but neither calculus nor geometry

2 liked geometry and algebra but not calculus

Of those surveyed, how many liked calculus and algebra?

2) For each of the following, identify the whole-number properties that are illustrated.

(a) 2(3 + 4) = 2(4 + 3)

(b) 5 + 7 = 7 + 5

(c) 1 • 14 = 14 = 14 • 1

(d) 5(9 + 3) = 5 • 9 + 5 • 3

(e) 2 + (3 + 2) = (2 + 3) + 2

(f) 5(3 • 4) = (5 • 3)4

3) Jim was paid $800 a month for his first 6 months of work and then received a $20 per month raise for his next 6 months. How much money did he make for the year?

4) Given the following function rules and domains, find the associated ranges.

(a) f(x) = 5x + 3 Domain = {0, 1, 2, 3, 4} Range =

2

(b) f(x) = x - 1 Domain = {1, 9, 4} Range =

2

(c) f(x) = 2x + x Domain = {1, 0, 2} Range =

5) Use the distributive property of multiplication over addition, along with addition and subtraction facts, to rename each of the following, if possible.

(a) 2x + 4x + 7x + 5x

3 3

(b) 6x + 7x

(c) a(b + c + d)

12 liked calculus and geometry

18 liked calculus but not algebra

4 liked calculus, algebra, and geometry

25 liked calculus

15 liked geometry

10 liked algebra but neither calculus nor geometry

2 liked geometry and algebra but not calculus

Of those surveyed, how many liked calculus and algebra?

2) For each of the following, identify the whole-number properties that are illustrated.

(a) 2(3 + 4) = 2(4 + 3)

(b) 5 + 7 = 7 + 5

(c) 1 • 14 = 14 = 14 • 1

(d) 5(9 + 3) = 5 • 9 + 5 • 3

(e) 2 + (3 + 2) = (2 + 3) + 2

(f) 5(3 • 4) = (5 • 3)4

3) Jim was paid $800 a month for his first 6 months of work and then received a $20 per month raise for his next 6 months. How much money did he make for the year?

4) Given the following function rules and domains, find the associated ranges.

(a) f(x) = 5x + 3 Domain = {0, 1, 2, 3, 4} Range =

2

(b) f(x) = x - 1 Domain = {1, 9, 4} Range =

2

(c) f(x) = 2x + x Domain = {1, 0, 2} Range =

5) Use the distributive property of multiplication over addition, along with addition and subtraction facts, to rename each of the following, if possible.

(a) 2x + 4x + 7x + 5x

3 3

(b) 6x + 7x

(c) a(b + c + d)

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