100% ALG Finals

Mastery Checks, Quiz, Test questions

4x+3(-2x+3)-9

-2x

-2/3 + 5 = 1/4m + 1/3

m=16

2.5g + 0.45 = 0.95

g = 0.2

-3(3 + 4x) + 4x = -41

x = 4

-1 -7x = -8(11 - 10x)

x=1

-8x + 42 = 6 +2(12 -4x)

no solution

Belle and her friends are planning a weekend trip to Isle of Palms, South Carolina! They can rent either a sedan or a fuel efficient SUV for the trip. The sedan will cost $180 to rent, while the SUV will cost $200. Belle estimates that the sedan will cost $0.11 per mile in fuel, while the SUV will cost about $0.06 per mile. To fine how many miles it would take Bell and her friends for the total cost of the vehicle to be the same, what equation would you use?

180 + .11m = 200 = 0.06m

1/2(5-2h) = h/2

h = 5/3

x - 1 + 5 ≤ -16 + 6x

2/3 (6x - 9) + 4x > 5x + 3

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make profit of no less than 5225 on natural dog good, how many bags of dog food does it need to sell?

951 bags of dog food

Determine if the set of numbers are a function:

[(3,7),(5,-9),(-1,4),(3,7),(7,3)]

Yes

If f(x) = 2x -4 and g(x) = x² - 4x, then find the value of, [f(2) +3] - g(-4).

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Aiden works part-time editing articles for school newspaper, He earns $9.50 per hour and receives a $24 weekly technology allowance for using his own computer. The newspaper publishes 5 issues each month, and Aiden usually edits about 12 articles per week. One week, Aiden’s total pay was $176. Use a function to determine how many hours Aiden worked that week.

16 hours

Is this a function?

Yes

Graph: -3x + 6y = 3

Graph: y = 3/4x - 5

Solve for A:

3A/2 = -4a - 2A

A= -8/7a

There’s roughly a linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula, T = 39 + 0.26c, where T represents the temperature in degrees Fahrenheit and C represents the number of times the cricket chirps in one minute. What will the meaning be of the C-value when T= 78?

When it is 78 degrees, a cricket will chirp roughly 150 times.

Find the linear equation:

h(x) = 7x + 12

A rock climbing gym charges each member a one time registration fee of $30 and an additional $7 for every visit to the gym. If x represents the number of visits and y represents the total amount paid, write the equation and graph the charge for membership.

y = 7x +30

Maya works a salesperson at a furniture store and earns a guaranteed base pay of $105 each day. In addition, she earns a $12 commission for every dining table she sells. Her shift lasts 8 hours, and each dining table has an average price of $650. Last Saturday, the store sold 27 pieces of furniture, and Maya took a 30-minute lunch break during her shift. Let P9t) represent Maya’s total daily pay when she sells t dining tables. Write a function that represents Maya’s total pay and how much she make if she sells 7 dining tables.

-P(t) = 12t +105
-She will make $189

During a soccer tournament, a team brings a 15-gallon water cooler to the field. The players use water from the cooler at a constant rate of 2.5 gallons per hour, so the cooler will be empty after 6 hours. The team has 18 players, each game lasts 90 minutes, and the coach brings 24 water bottles as backups. The function w(h) represents the amount of water, in gallons, remaining in the cooler after h hours. What is the range of W(h), write algebraically and also in everyday language.

-Range = 0 ≤ W(h) ≤ 15

-The cooler will have 0-15 gallons of water remaining at all times.

B

C

B

C

C

C

C

A+C+E

16 Kwanzan Cherry Saplings

No solution

x = -5

A

C

2 Pounds

C

B

A

B

A

A

B

C

A+B+C+E+F

n = 12

x = 3.9

17 Paychecks

C

A

B

B

B

E

A+C

23

A

A

B

A

B

C

C

A

B+C+D

A+D+E

y ≥ -2x + 5

y=-3x-5

$5,550

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