Solving Linear Equations
A taxi company charges a flat rate of $20 for the first ten miles. Any number of miles after the initial ten are billed at $1.25 per mile. How many miles were driven if the total fare was $65?
46 miles
A 10,000 gallon pool has a leak. It is losing 2.5 gallons per day. Create an equation that shows the remaining gallons (y) after x days.
y=10,000 - 2.5x
What is the name of this equation format: y=mx+b?
Slope-Intercept Form
What are needed in order to add or subtract fractions?
A common denominator.
What is the room number for this classroom?
124
Tickets to a play cost $8 for children and $12 for adults. If the theater earned $604 in one evening, and 35 adults attended the play, how many children attended?
23 children
3 more than 8 times a number x is equal to 83. Write an equation to represent this situation.
8x + 3 = 83
What is the slope of a horizontal line?
Zero (0).
What is the method called we use when dividing by fractions?
Keep Switch Flip
If g(x) = 3x - 1 and f(x) = g(x) + 6, what is f(4)?
f(4) = 17
Which two numbers should be placed in the blanks below so that the sequence is arithmetic?
26, ___, ___, 53.
A) 28,46
b) 38,48
c) 35,44
C) 35, 44
A two hour bike rental costs $30. A five hour bike rental costs $45.
Write an equation that could model the bike rental fees, where C is the total cost and h is the number of hours.
C = 20 + 5h
The function f(x) = 206(1.03)x models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where x is the number of years after 1957. Which is the best interpretation of "f(5) is approximately equal to 243” in this context?
A) The value of the bank account is estimated to be approximately 5 dollars greater in 1962 than in 1957.
B) The value of the bank account is estimated to be approximately 243 dollars in 1962.
C) The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.
D) The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972.
B) The value of the bank account is estimated to be approximately 243 dollars in 1962.
Simplify 2/3 x - 1/5 x.
7/15 x
What country does Mr. Conway's wife teach in?
South Korea
What is the solution (x,y) to the given system of equations?
x + y = 18
5y = x
Elijah is buying lumber for a project. 8-foot pieces cost $10 each, and 12-foot pieces cost $12 each.
Write an equation you could use to solve for the number of 12-foot pieces he bought (y) if he bought x 8-foot pieces and spends a total of $100.
y = (100 - 10x) / 12
The function f is defined by f(x) = 270(0.1)x. What is the value of f(0) ?
270
Solve the following equation:
5 (1/2 - y) = 5/9 + 25y
y= 7/108
What city does Mr. Conway live in?
Torrington
Brianna needs $11.25 in quarters. She has 15 quarters and her father has given her 8 more quarters. How many more quarters does Brianna need?
22 quarters
What is the equation of a linear function with a slope of 1/2 and that passes through the point (-2, 4)?
f(x) = 1/2 x + 5
Find the slope of a line containing the points (-3, 6) and (8, y).
(y - 6)/11
Determine the solution to: 2/3 x = 5/4. Give your answer as a decimal.
1.875
Solve the system and use the solution to find the value of 2x - 3y.
y = -2x - 4
y = 3x + 6
You may use your whiteboards to graph.
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