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

2. $ 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

3. 2. If r = 9, b = 5, and g = −6, what does
(r + b − g)(b + g) equal?

4. 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

5. 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”.

6. 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

7. 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

8. 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”.

9. $ 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

10. 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?

11. 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).

12. 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

13. 7. If 9(x − 9) = −11, then x = ?

14. $ / 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

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

16. 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

17. 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

18. 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.

19. 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:

20. 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

21. 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 `

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

23. 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