Exponent Rules
Simplify z4/z2.
z2
What is the slope of a line that runs through points (1, 2) and (3, 4)?
m=1
In the linear equation formula y=mx+b, give the meanings of ALL variables in the equation.
(x,y)- coordinate, m- slope, and b- y-intercept
What is the domain of the function y = 2x + 1?
All real numbers
Infinitely many solutions. 0=0.
Simplify (x6y7) x (y-2)
x6/y14
The slope of a line is 1/2, what another slope that is equivalent to 1/2?
2/4, 3/6, 4/8, 5/10, etc..
Ali deposited $1600 into her account. She recently subscribed to Netflix and now has $20 being deducted every month. Show the following as a linear equation.
y = -20x + 1600
Give the domain and range of {(2,3), (3, 6), (4, 9)}.
Domain- {2, 3, 4}
Range- {3, 6, 9}
Two cell phone companies offer different packages. Company A charges a monthly service fee of $34 plus $0.05/min talk-time. Company B charges a monthly service fee of $40 plus $.04/min talk-time. Write an equation that would show how many minutes of talk-time would yield equal monthly statements from both companies?
34 + 0.05x = 40 + 0.04x
Simplify (2a2b4)2
4a4b8
A car travels 40 miles per 30 minutes, what is the rate of change in miles per 1 hour?
80 miles per 1 hour
Jack earns $10 per hour plus a $40 bonus everyday. How much does he earn for working up to 2 hours?
$60
Given the function f(3), evaluate f(x) = 2x2 + 2x +1
25
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Write an inequality to describe the situation.
500 - 25w >= 200
8x8/y4
A table contains the points (1, 10), (2, 5), and (4, -5). What is the slope?
m= -5
Car hire cost includes a deposit of $50 plus an hourly rate of $20. How much does it cost to hire the car for up to 2 hours?
$90
What are the different ways of representing functions and relations? (Think about what all functions and relations consist of)
Table, graph, equation, set of ordered pairs, and mapping diagram
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. Write an inequality, then solve.
0.65m + 1.75 <= 10, m<= 12.69
Simplify (a-1b3)-3/ab
a2/b10
John opened an account with $300. By the end of the 12 months, John had $1500. What was the rate of change per month?
$100 per month
Given the points (-1, -4) and (2, 5), give an equation in the form y = mx + b
y=3x - 1
Zack drives a car that holds 20 gallons of gas, and the car gets 32 miles per gallon. Describe the maximum number of miles Zack could drive in one tank. What would the range be?
Maximum 640 miles, range 0 to 640.
Solve 4(y − 3) + 19 = 8(2y + 3) + 7
y = -2