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**I’ll have more problems up this weekend.**

MATH Problems 1-15 I’ll have more problems up this weekend.

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**$ how many total $ vehicles $20 v 20v people $10 p 10p total**

1. The weekly fee for staying at the Pleasant Lake Campground is $20 per vehicle and $10 per person. Last year, weekly fees were paid for v vehicles and p persons. Which of the following expressions gives the total amount, in dollars, collected for weekly fees last year? $ how many total $ vehicles $20 v 20v people $10 p 10p total t = 20v+10p

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**2. If r = 9, b = 5, and g = −6, what does**

(r + b − g)(b + g) equal?

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**3. A copy machine makes 60 copies per minute**

3. A copy machine makes 60 copies per minute. A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes after the first machine starts. Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines made how many copies? 1 2 3 4 5 6 7 8 Total 1st: 60 60 60 80 60 80 60 80 60 80 60 80 60 80 480 2nd: 480 960

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**3b. A copy machine makes 60 copies per minute**

3b. A copy machine makes 60 copies per minute. A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes after the first machine starts. Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines made how many copies? A Quicker Way (maybe) I like the first method many times because it helps me “get the feel of the problem”.

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4. Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game? Games Pins Avg 1 - 5 1,200 240

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**Games Pins Avg 1 - 5 1,200 240 6 300 ? 6-game total 1,500 250**

4b. Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to average 250, what must Marlon score on his last game? Games Pins Avg 1 - 5 1,200 240 6 300 ? 6-game total 1,500 250

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4b. Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to average 250, what must Marlon score on his last game? A Quicker Way (maybe) I like the first method many times because it helps me “get the feel of the problem”.

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**$ amt hours total regular OT total**

5. Joelle earns her regular pay of $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Joelle is paid 1½ times her regular pay. How much does Joelle earn for a week in which she works 42 hours? $ amt hours total regular 7.50 40 $300.00 OT 2 $22.50 total 42 $322.50

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**5b. Joelle earns her regular pay of $7**

5b. Joelle earns her regular pay of $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Joelle is paid 1½ times her regular pay. How much does Joelle earn for a week in which she works 42 hours?

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**5c. Joelle earns her regular pay of $7**

5c. Joelle earns her regular pay of $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Joelle is paid 1½ times her regular pay. She owes her Dad $400. If she works 40 hours during the week, how long does she have to work on Saturday to repay her Dad? (assume she must work complete hours).

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**is a number, x, squared 39 more than the product of 10 and x**

6. Which of the following mathematical expressions is equivalent to the verbal expression “A number, x, squared is 39 more than the product of 10 and x” ? a number, x, squared 39 more than the product of 10 and x is

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7. If 9(x − 9) = −11, then x = ?

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**$ / ticket tickets paid: $60.00 $4.00 15 discount: $37.50 regular:**

8. Discount tickets to a basketball tournament sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. What was the regular ticket price? $ / ticket tickets paid: $60.00 $4.00 15 discount: $37.50 regular: $97.50 $6.50 15

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**9. The expression (3x − 4y2)(3x + 4y2) is equivalent to:**

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**6 8 6 A = 32 4 P = 24 length width P Area 24 6 6 36 24 8 4 32**

10. A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle? 6 8 6 A = 32 4 P = 24 length width P Area 24 6 6 36 24 8 4 32

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**11. In ΔABC, the sum of the measures of ∠A and ∠B is 47°**

11. In ΔABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ? A B C 47° C

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**I start EVERY "combination problem" with a simple example like this:**

12. In the school cafeteria, students choose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. How many different lunches are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink? I start EVERY "combination problem" with a simple example like this: Suppose you just had two items: Item A has 2 choices (large or small) Item B has 3 choices: (hats, coats, gloves) Item A 2 choices Item B 3 choices The General Rule multiply the number of objects in the sets. 3 sandwiches, 3 soups, 4 salads, and 2 drinks a 1 a,1 b,1 b 2 a,2 b,2 3 a,3 b,3 ` Combinations: THEREFORE: When there are 2 and 3 choices, there are 6 combinations.

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**This happens very quick, once you get use to it!**

12b. In the school cafeteria, students choose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. How many different lunches are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink? This happens very quick, once you get use to it! A B a 1 b 2 3 The problem has 3, 3, 2, and 4 items. with 2 & 3 in a set, I get 6. Therefore, I multiply ... ` Combinations:

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**Sometimes, it helps to start with the answers:**

13. For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the 2 integers? A. 18, 19 B. 19, 20 C. 20, 21 D. 26, 27 E. 39, 40 Sometimes, it helps to start with the answers: smaller = s bigger = b 3 × b s + (3 × b) almost 18 19 57 75 19 20 60 79 yes

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**Suppose the two integers are**

13. For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the 2 integers? A. 18, 19 B. 19, 20 C. 20, 21 D. 26, 27 E. 39, 40 Suppose the two integers are n and n+1 smaller + (3 × bigger) = Also, smaller + (3 × bigger) = 79 `

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**14. A function f(x) is defined as f(x) = −8x2. What is f(−3) ?**

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**54 15. If 3x = 54, then which of the following must be true?**

A. 1 < x < 2 B. 2 < x < 3 C. 3 < x < 4 D. 4 < x < 5 E. 5 < x 54

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