Linear Equations and Functions
In the equation y = mx + b, what does the "b" represent on a graph?
The y-intercept
What is the product of (x + 3)(x - 2)?
x2+ x - 6
If the function f(x) = 2(3)x is shifted down 5 units, what is the new equation?
f(x)=2(3)x-5
When graphing y > 2x + 1, do you use a solid or dashed line?
Dashed
What is the "middle" value of a data set called when arranged in order?
Median
If a line passes through the points (2, 5) and (4, 9), what is its slope?
2
What are the zeros of the function f(x) = (x - 5)(x + 1)?
x=5 and x=-1
In the exponential growth model y = 150(1.04)x, what is the percentage rate of growth?
4%
If a system of two linear equations has the same slope, how many solutions does it have?
Zero (they are parallel)
If the correlation coefficient (r) is -0.95, is the relationship strong or weak?
Strong (negative)
A rental car costs $25 plus $0.10 per mile. Write an equation for the total cost C for m miles.
C = 0.10m + 25
What is the vertex of the parabola y = (x - 3)2 + 4?
(3, 4)
If a car's value is modeled by v(t) = 25,000(0.85)t, what is the annual rate of depreciation?
15%
A system of inequalities is shaded in a region. If a point (2, 3) is on a dashed boundary line, is it a solution?
No
What is the term for a data point that is significantly different from the rest of the set?
Outlier
Solve for x: 3(x - 4) = 2x + 5
x = 17
Solve x2+12x+32=0
x=-4 and x=-8
A sequence is defined by an = 5(2)n-1. What is the 4th term of this sequence?
40
Solve the system for x:
x+y=10 and 2x-y=2
4
What is the Interquartile Range (IQR) of a data set where Q1=15, Median=20, and Q3=35?
20
What is the x-intercept of the function f(x) = 1/2x - 8
16
Solve 4x2+12x=40
x=-5 and x=2
A scientist starts with 80 grams of a radioactive substance that decays by 12% each year. Write a function to model the amount remaining after t years.
f(t) = 80(0.88)t
Solve for x and y:
2x+y=20 and y=3x-5
(5,10)
In a box plot, what is the value at the 25th percentile called?
Lower Quartile (Q1)