2. a retail sales associate’s daily commission during 1 week was $30 on monday and tuesday and $70 on wednesday, thursday, and friday. what was the associate’s average daily commission for these 5 days?
f. $50
g. $51
h. $54
j. $55
k. $56

3. what is the greatest common factor of 45, 50, and 84 ?
a. 0
b. 1
c. 2
d. 3
e. 5

4. for what value of x is the equation 2(x − 12) + x = 36 true?
f. 4
g. 8
h. 16
j. 20
k. 30

5. a bag contains exactly 22 solid - colored buttons: 4 red, 6 blue, and 12 white. what is the probability of randomly selecting 1 button that is not white?
a. $\frac{5}{11}$
b. $\frac{5}{6}$
c. $\frac{5}{22}$
d. $\frac{1}{2}$
e. $\frac{1}{10}$

6. on a map, $\frac{1}{2}$ inch represents 12 actual miles. two towns that are 5 inches apart on this map are how many actual miles apart?
f. 120
g. 60
h. 30
j. 24
k. 12

7. caden had exactly 45 plants to sell. after day 1 of his sale, he had exactly 42 plants left. after day 2, caden had exactly 39 plants left. after day 3, he had exactly 36 plants left. assuming caden will continue to sell plants at that daily rate, how many of these plants will he have left at the end of day 6?
a. 33
b. 27
c. 24
d. 6
e. 3

8. an on - demand movie service charges $5 per month, plus $2 for each movie rented. which of the following equations models the relationship between m, the number of movies rented per month, and t, the total monthly cost, in dollars, for the service?
f. $m = 5 + 2t$
g. $m = 2 + 5t$
h. $t = 2 + 5m$
i. $t = 5 + 2m$
k. $t = (5 + 2)m$

9. what are the solutions to the quadratic equation $(2x + 5)(3x - 4)=0$?
a. $-5$ and $4$
b. $-\frac{5}{2}$ and $\frac{4}{3}$

go on to the next page.

2 2
do your figuring here.

Question

2. a retail sales associate’s daily commission during 1 week was $30 on monday and tuesday and $70 on wednesday, thursday, and friday. what was the associate’s average daily commission for these 5 days?
f. $50
g. $51
h. $54
j. $55
k. $56

3. what is the greatest common factor of 45, 50, and 84 ?
a. 0
b. 1
c. 2
d. 3
e. 5

4. for what value of x is the equation 2(x − 12) + x = 36 true?
f. 4
g. 8
h. 16
j. 20
k. 30

5. a bag contains exactly 22 solid - colored buttons: 4 red, 6 blue, and 12 white. what is the probability of randomly selecting 1 button that is not white?
a. $\frac{5}{11}$
b. $\frac{5}{6}$
c. $\frac{5}{22}$
d. $\frac{1}{2}$
e. $\frac{1}{10}$

6. on a map, $\frac{1}{2}$ inch represents 12 actual miles. two towns that are 5 inches apart on this map are how many actual miles apart?
f. 120
g. 60
h. 30
j. 24
k. 12

7. caden had exactly 45 plants to sell. after day 1 of his sale, he had exactly 42 plants left. after day 2, caden had exactly 39 plants left. after day 3, he had exactly 36 plants left. assuming caden will continue to sell plants at that daily rate, how many of these plants will he have left at the end of day 6?
a. 33
b. 27
c. 24
d. 6
e. 3

8. an on - demand movie service charges $5 per month, plus $2 for each movie rented. which of the following equations models the relationship between m, the number of movies rented per month, and t, the total monthly cost, in dollars, for the service?
f. $m = 5 + 2t$
g. $m = 2 + 5t$
h. $t = 2 + 5m$
i. $t = 5 + 2m$
k. $t = (5 + 2)m$

9. what are the solutions to the quadratic equation $(2x + 5)(3x - 4)=0$?
a. $-5$ and $4$
b. $-\frac{5}{2}$ and $\frac{4}{3}$

go on to the next page.

2								2
				do your figuring here.

Accepted Answer

### Question 2
# Answer:
$ \$54 $
# Explanation:
## Step1: Calculate total commission
Monday and Tuesday: $ 2\times\$30 = \$60 $
Wednesday - Friday: $ 3\times\$70 = \$210 $
Total: $ \$60 + \$210 = \$270 $
## Step2: Calculate average
Average = $ \frac{\$270}{5} = \$54 $

### Question 3
# Answer:
$ 1 $
# Explanation:
## Step1: Factor each number
$ 45 = 3\times3\times5 $
$ 50 = 2\times5\times5 $
$ 84 = 2\times2\times3\times7 $
## Step2: Find common factors
Common factors: Only $ 1 $

### Question 4
# Answer:
$ 20 $
# Explanation:
## Step1: Expand the equation
$ 2(x - 12) + x = 36 $
$ 2x - 24 + x = 36 $
## Step2: Combine like terms
$ 3x - 24 = 36 $
## Step3: Solve for $ x $
$ 3x = 36 + 24 $
$ 3x = 60 $
$ x = \frac{60}{3} = 20 $

### Question 5
# Answer:
$ \frac{5}{11} $
# Explanation:
## Step1: Calculate non - white buttons
Red + Blue = $ 4 + 6 = 10 $
## Step2: Calculate probability
Total buttons = $ 22 $
Probability = $ \frac{10}{22} = \frac{5}{11} $

### Question 6
# Answer:
$ 120 $
# Explanation:
## Step1: Find miles per inch
$ \frac{1}{2} $ inch = $ 12 $ miles, so $ 1 $ inch = $ 24 $ miles
## Step2: Calculate total miles
$ 5 $ inches: $ 5\times24 = 120 $ miles

### Question 7
# Answer:
$ 24 $
# Explanation:
## Step1: Find daily sales rate
Day 1: $ 45 - 42 = 3 $ plants sold
Day 2: $ 42 - 39 = 3 $ plants sold
Rate: $ 3 $ plants per day
## Step2: Calculate plants sold in 6 days
$ 6\times3 = 18 $ plants sold
## Step3: Calculate plants left
$ 45 - 18 = 27 $? Wait, no, wait. Wait, Day 1: 45 - 42 = 3, Day 2: 42 - 39 = 3, Day 3: 39 - 36 = 3. So rate is 3 per day. After 6 days, total sold: 6*3 = 18. Wait, but 45 - 18 = 27? But the options have 24. Wait, maybe I misread. Wait, the problem says "After Day 1...42 left, After Day 2...39 left, After Day 3...36 left". So from Day 1 to Day 3, 3 days, sold 9 plants (45 - 36 = 9), so rate is 3 per day. Then Day 4: 36 - 3 = 33, Day 5: 33 - 3 = 30, Day 6: 30 - 3 = 27? But the options have B:27, C:24. Wait, maybe I made a mistake. Wait, the question is "how many of these plants will he have left at the end of Day 6?". Wait, initial is 45. Day 1: 45 - 3 = 42, Day 2: 42 - 3 = 39, Day 3: 39 - 3 = 36, Day 4: 36 - 3 = 33, Day 5: 33 - 3 = 30, Day 6: 30 - 3 = 27. So answer is 27 (Option B).

### Question 8
# Answer:
$ T = 5 + 2M $
# Explanation:
## Step1: Identify fixed and variable costs
Fixed cost: $ \$5 $ per month
Variable cost: $ \$2 $ per movie, so for $ M $ movies, $ 2M $
## Step2: Formulate total cost
Total cost $ T = 5 + 2M $

### Question 9
# Answer:
$ -\frac{5}{2} $ and $ \frac{4}{3} $
# Explanation:
## Step1: Set each factor to zero
$ 2x + 5 = 0 $ or $ 3x - 4 = 0 $
## Step2: Solve for $ x $
For $ 2x + 5 = 0 $: $ 2x = - 5 $, $ x = -\frac{5}{2} $
For $ 3x - 4 = 0 $: $ 3x = 4 $, $ x = \frac{4}{3} $

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 2

Step1: Calculate total commission

Step2: Calculate average

Question 3

Step1: Factor each number

Step2: Find common factors

Question 4

Step1: Expand the equation

Step2: Combine like terms

Step3: Solve for \( x \)

Question 5

Answer: