Linear Equations
What is the slope in the linear equation y = 1.5x + 4?
1.5
In the exponential equation y = 5x, what is the "5" called?
The base
Put the following quadratic expression in standard form:
2x2 - 9 + 5x + x2 - 3x
3x2 + 2x - 9
What number should replace the ??? to make the set of ordered pairs a function?
(0, 2) , (1, 9) , (2, 8) , (3, 18) , (1, ???)
9
Janie has 7 more toys than Todd. If Todd has x toys, how many toys does Janie have?
x + 7
What is the y-intercept of the linear equation below?
3y - 6x = 18
6
(Rewrite the equation as y = 2x + 6)
What is the y-intercept of the exponential equation below?
y = 2*7x + 4
6
What are the roots of the quadratic equation below?
(x - 5)(x + 6.5) = 0
x = 5 and x = -6.5
What is the name of the test you can use to decide whether a graph is a function or not?
The vertical line test
Alma has 3 fewer pencils than Tony. Ava has twice as many pencils as Alma. If Tony has x pencils, how many pencils does Ava have?
2(x - 3)
Sketch a graph that has a positive slope and a negative y-intercept.
(Answers will vary)
What is the value of y = 2*4x when x = 3?
128
Factor the quadratic expression x2 + 8x - 20
(x + 10)(x - 2)
Find f(2) for the function f(x) = 3x + 8
f(2) = 17
Jenny has a dogwalking business. She charges a $10 travel fee to come to your house and $3 an hour to walk your dog. Write an equation that gives the total cost, y, of having Jenny walk your dog for x hours.
y = 3x + 10
A linear equation has a positive x-intercept and a negative slope. Does the equation have a positive or negative y-intercept?
Positive
An exponential growth model representing the amount of money in a bank account after x years (including interest) is shown below.
y = 200*1.032x
How much interest (as a percentage) does the account gain per year?
3.2%
What are the values of a, b, and c you should plug into the quadratic formula to solve the equation below?
7 + 6x2 = -5x + 3
a = 6, b = 5, c = 4
OR
a = -6, b = -5, c = -4
The domain of the function f(x) = 9x + 1 is {0, 1}. What is the range of the function?
{1, 10}
DCHS is planning a college trip for its students. The bus company charges a certain amount per day plus an initial reservation fee. The total cost for a trip lasting x days can be found with the equation y = 250 + 300x. What does 300 represent in this equation?
The amount the bus company charges per day.
Write the equation of the line that goes through the points (0, 5) and (1, 7).
y = 2x + 5
(CHALLENGE) A population of mice starts at 600 and grows at 12% per year. Write an equation that gives the total number of mice, y, after x years.
y = 600*1.12x
Solve the quadratic equation 4x2 + 8 = 44
x = 3 and x = -3
Is (3, 8) a solution to the function below? (Must show work to get the points!)
f(x) = x2 - 5x - 2
No.
f(3) = -8
Marin and Ajay took road trips with their families. When Marin still had 60 miles left, she had already traveled twice as far as Ajay. If Ajay traveled x miles, how many miles did Marin travel?
(BONUS) If Marin traveled y miles, how many miles did Ajay travel?
2x + 60
(BONUS) (y - 60)/2