UNIT 1-2
f(x)= 3x - 7 is a function. What is the value of this function when the value of x is 5?
The answer is x=4
If you add 3 and the square root of two, is the sum going to be rational or irrational?
Irrational
Does the equation y=3(2)x represent a linear function, a quadratic function, or an exponential function?
exponential function
A student tracks the number of hours they study (x) and their test score (y). They notice that as the number of hours increases, the test score generally increases as well.
From this correlation, is it positive, negative, or no correlation
A positive correlation
Find the distance between the two points A(3,4) and B(7,1).
5 units
Find the slope of the line that passes through the points (2,−5) and (6,3).
Slope is 2
Rewrite the expression (x+4)(x−2) in standard form (ax^2+bx+c).
x2+2x-8
Is the function y=5(0.8)^x an example of exponential growth or exponential decay?
exponential decay
A study finds that there is a strong positive correlation between the number of ice cream cones sold in a city and the number of drowning incidents at the beach.
Is this a correlation or causation?
This is a correlation, as drowning can go up with ice cream, but they are not related to each other.
Find the midpoint of the segment with endpoints (2,5) and (8,1).
(5,3)
Consider the inequality y>−2x+4
Which of the following ordered pairs is a solution to this inequality?
A) (0,0)
B) (2,1)
C) (−1,6)
D) (3,−2)
Correct answer is B
Solve for x:
x^2−49=0
x= -7 and x= 7
V(t)=24,000(0.85)^t, where V(t) is the value in dollars and tt is the time in years.
What does the number $0.85$ tell you about the car's value each year?
0.85 is the rate of change
This is the data set of 5 test scores: 70, 85, 90, 85, 100
What is the median of this data set?
85
Line A passes through the points (1,2) and (3,6).
Line B passes through the points (0,0) and (2,4).
Are these two lines parallel, perpendicular, or neither?
Parallel, but the lines overlap,
A gym offers two membership plans.
After how many months will the total cost of Plan A be equal to the total cost of Plan B?
At the point (10,150) both memberships are the same cost
h(t)=−16t^2+64t+5
According to this model, what is the maximum height the ball reaches?
Height of 69 feet
V(t)=24,000(0.85)t, what will the car's value be after exactly 3 years?
in 3 years the car will be worth $14739
A scatter plot shows data for the age of a car (in years) vs. its value (in dollars). The line of best fit has the equation:
y=-2000x+25000
what does the -2000x mean in this expression?
-2000x means the car loses $2000 of value per year.
A triangle has vertices at the following coordinates:
A(0,0)
B(6,0)
C(0,4)
What is the area of this triangle?
12 units
You are planning a party and have a budget of $100 to buy pizza and each pizza costs $12.
Write a linear inequality that represents the number of pizzas (pp) you can buy without going over budget.
8 pizzas
h(t)=−16t2+32t+5
At what time (t) does the ball reach its maximum height?
1 second
You deposit $500 into a savings account that earns 4% annual interest compounded yearly.
Write an exponential function to model the amount of money in the account after t years.
m(t)=500(1.04)t
A teacher is looking at the distribution of test scores in her class. She notices that the mean score is significantly higher than the median score.
What does this suggest about the shape of the data distribution?
Is it skewed to the left (negatively skewed) or skewed to the right (positively skewed)?
A line passes through the points (2,3)(2,3) and (4,7)(4,7).
What is the slope of this line?
Then, determine the slope of a line that is perpendicular to this line.
-1/2