Unit 1
Simplify the expression
3r - 4 + 5r
8r - 4
Is the following a function?
{(-2,1), (1,0), (5,4), (2,6), (1,7)}
No
State the formula for slope
(y2 - y1) / (x2 - x1)
State the transformation(s) that occurs in the following equation
y = -x + 3
Reflected and shifted up
Define slope
The steepness of a line
Simplify the expression
2g - (g + 4) + 7
g + 3
f(x) = - 3x + 1. Find the value of f(3).
- 8
Given the equation y = 1/2x + 7, state the slope and the y-intercept. Then state what we start with to graph the equation.
Slope: 1/2
Y-intercept: 7
We start graphing with the y-intercept.
State the transformation(s) that occur in the given equation
y = 1/3x
Horizontal stretch
Define parallel lines
Two lines that have the same slope
A yard has a width of 3g2 + 6g + 2 and a length of 4g2 - 2g + 10. Find the perimeter of the yard.
14g2 + 8g + 24
G(x) = 1/4(x - 2)2 + 2
Find G(-4)
11
Given the inequality y > 2x - 4, state whether we would use a solid or broken line and whether we would shade above or below the line.
Broken line/shade above
Write the equation of a line that is perpendicular to y = 2/5x + 3 and goes through the point (-2, 3)
y - 3 = -5/2(x + 2)
Define perpendicular lines
Two lines that have opposite reciprocal slopes
Fill in the blank
4x + 12 = __ (x + 3)
4
State the domain and range. State whether it is continuous or discrete.
{(-2,1), (-1,0), (0,2), (2, 4)}
Domain: {-2, -1, 0, 2}
Range: {1, 0, 2, 4}
Discrete
Put the following equation into slope-intercept form.
3y + 4x = 12
y = - 4/3x + 4
Write the equation of a line parallel to y = 2x + 3 and goes through point (0,4)
y - 4 = 2(x - 0)
Define causation
A relationship between two variables where one directly causes change in the other
Solve the following inequality
- 4s - 7 > 1
s < -2
Give an example of a continuous domain and range, with the boundaries of the domain being between but not equal to -1 and 7, and the boundaries of the range being between but not equal to 8 and 2.
Domain: -1 < x < 7
Range: 2 < y < 8
What is the definition of zero (root) and what is it the same as?
X value that makes the function equal to zero.
It is the same as the x value of the x-intercept.
The basketball team is buying new uniforms and is using the equation y = 3x + 15, where x is the number of players. State the domain and range if the basketball team has between 8 and 12 players.
Domain: {8, 9, 10, 11, 12}
Range: {39, 42, 45, 48, 51}
Define correlation coefficient
A measure of the relationship between two variables that is represented by r