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Functions
Domain & Range
Linear Equations
Word Problems
Inequalities
Solving Equations
With Fractions
or Decimals
100
Does the following relation represent a function? (-4, 2), (3, 4), (2, 9), (-3, 3), (4, -10)
Yes
100
The following set of ordered pairs represents a relation. {(-9, -10), (-12, -11), (-25, -15), (-50, -60)} What is the domain of the relation?
The domain is: {-9, -12, -25, -50}
100
During her algebra class, Ms. McDonald displays the following equation. 15 (y - 3) = 2 (5y + 10) What is the solution to this equation?
y = 13
100
What does the graph of -3 > n look like?
-3 is greater than n. Graph is an OPEN circle on -3 and the arrow points to the left of -3.
100
Solve the equation, 1.6x - 3 = -2(4.2x - 6) for x.
x = 1.5
200
For the function f(x) = 3x + 2, find x such that f(x) = 14.
x = 4
200
What are the elements of the domain in the following relation? {(2,0), (6, 2), (8, -4), (-10, 5)}
The range is: {0, 2, -4, 5}.
200
The length of a rectangular garden is one more than twice its width. The perimeter of the garden is 80 feet. Find the length of the garden given the equation for the perimeter below. 2(1+2w) + 2w = 80
The width is 13, so the length is 27.
200
What is the solution of 4x - 4 > 12?
x > 4
200
Solve for x: 2/3 (x - 6) + 5/3x = -2/3x + 2
x = 2
300
A cell phone company charges $60 per month for unlimited phone calls and $0.15 per text message. Joe's total bill for October was $90.45. The function f(m) = 60 + 0.15m represents the total cost per month, where m represents the number of text messages. Find the number of text messages Joe sent in October.
Joe sent 203 text messages in October because m = 203.
300
The set of ordered pairs shown below defines a relation. {(0, 4), (1, 8), (2, 12), (3, 16), (4, 20)} What is the value of the greatest element in the domain of this relation?
The domain of the relation is: {0, 1, 2, 3, 4}. The greatest element is 4.
300
The high school student government is selling T-shirts as a fundraiser. They purchase $500 in screen printing supplies and spend $3.50 per T-shirt. They sell the shirts for $7.50 each. The equation below can be used to model this situation where t represents the number of T-shirts. How many T-shirts do they need to sell to break even? 500 + 3.50t = 7.50t
They need to sell 125 t-shirts.
300
The sum of 7 and 2x is less than or equal to 19. Write as an inequality and solve.
** Show correct answer on the board: 7 + 2x < 19 x < 6
300
Eli needs to cut three pieces of pipe from a PVC pipe that is 1.4 meters long. The second pipe is 16 centimeters longer than twice the length of the first pipe. The third pipe is 6 centimeters longer than the first pipe. The equation below represents this situation, where is the length of the first pipe in meters. x + (2x + 0.16) + (x + 0.06) = 1.4 What is the length, in meters, of the first pipe?
The length of the first pipe is 0.295 meters.
400
For one child, the South Florida Fair charges $12.75 for admission and $1.25 for each ride the child takes. The function below can be used to determine , the money spent for a child’s admission and rides, where represents the number of rides taken at the fair. f(r) = 12.75 + 1.25r If the total cost for one child at the fair for the day was $22.75, how many rides did the child take?
The child rode 8 rides. r = 8
400
The set of ordered pairs shown below defines a relation. {(0, 2), (1, 4), (2, 6), (3, 8), (4, 10)} What is the value of the greatest element in the range of this relation?
The relation is: {2, 4, 6, 8, 10}. The greatest element is 10.
400
5. A delivery person uses a service elevator to deliver boxes to an office on the 5th floor of a building. The delivery person weighs 180 pounds and each box weighs 60 pounds. The maximum capacity of the elevator is 1200 pounds. The equation below can be used to determine the maximum weight the elevator can hold, where b represents the number of boxes the delivery person can bring onto the elevator. 180 + 60b = 1200 How many boxes can the delivery person bring up in the elevator at one time?
He can bring 17 boxes at one time.
400
Solve the compound inequality: -3< -2x + 1 < 11
2 > x > -5
400
A bookstore sold 18,000 paperbacks one month. This was 10% less than the number of paperbacks the store sold the previous month. The following equation represents this situation, where x represents the number of paperbacks sold the previous month. x - 0.1x = 18,000 How many paperbacks did the store sell in both the months combined?
They sold 20,000 paperbacks the first month, which means they sold 38,000 paperbacks in both months combined.
500
For one child, a summer camp charges $140 per week and $5.50 per hour for each hour a child spends in extended camp time. The function below can be used to determine , the weekly charge for summer camp and any extended camp hours, where represents the number of hours spent in extended camp time. f(h) = 140 + 5.5h If the weekly charges for one child totaled $195.00, what was the total number of hours the child spent in extended camp?
The child spent 10 hours in extended camp. h = 10
500
3. The set of ordered pairs shown below defines a relation. {(-4, 2), (3, 4), (2, 9), (-3, 3), (4, -10)} What is the value of the greatest element in the range of this relation?
4 is the greatest element in the range.
500
4. Ken is driving from his house to Dolphins Stadium for a Monday Night football game. His arrival time depends on the traffic. If traffic is light, he will travel at an average speed of 60 miles per hour and arrive 2 hours early. If traffic is heavy, he will travel at an average speed of 30 miles per hour and arrive at kickoff. The equation below can be used to model this situation, where represents Ken’s driving time, in hours. 60 (t - 2) = 30t What is the distance, in miles, from Ken’s house to Dolphin Stadium?
It is 120 miles from Ken's house to Dolphins Stadium.
500
Solve the compound inequality: 2 - 3x > 14 or 3 + 5x > 18 Explain how the graph would look.
x < -4 or x > 3 The graph will point in opposite directions with open circles on the -4 and the 3.
500
Ms. Kern is cutting three pieces of string from one piece of string that is 4.6 meters long. The second piece of string is 22 centimeters longer than three times the length of the first piece. The third piece is 12 centimeters shorter than the first piece. The equation below represents this situation, where is the length of the first piece of string in meters. s + (3s + 0.22) + (s - 0.12) = 4.6 What is the length, in meters, of the first piece of string?
The length of the first piece of string is 0.9 meters.