Unit 1
-3(x+9)=-3
10
−15x > 120
x < −8
Graph
What is domain and range?
Domain: x values
Range: y values
Evaluate the function for the given value.
f(x) = −x
2 − 6x − 2; Find f(−4)
38
Determine the type and strength of the relationship for a correlation coefficient of r = −0.85.
Strong negative
−7n + 7n = 3
No solution
Solve and graph.
6x + 8x ≤ 0
x ≤ 0
Graph
The following table represents a relation. Determine the domain/range and if the relation is a function.
x: −7, −6, −5, −4, 7
y: 7, 2, 1, −5, −2
Domain: {−7, −6, −5, −4, 7}
Range: {−5, −2, 1, 2, 7}
The relation is a function.
Write the equation of the line with the given slope and y-intercept in slope-intercept form.
Slope = 4, y-intercept = −4
y = 4x − 4
The following equation models the growth of a tree in inches based on the amount of rainfall in inches per year. y = 0.27x + 87
What is the interpretation of the slope?
A tree grows 0.27 inches per inch of rainfall.
−165 = −8(−3 + 7v) − 7v
{3}
Solve and Graph
3x − 2x < 3x − 2
x > 1
Graph
Determine if the following representation models a linear or nonlinear scenario.
x: −2, −1, 0, 1, 2
y: 20, 12, 6, 2, 0
Nonlinear
Write the equation of the line with the given slope and point in slope-intercept form.
through: (−5, 1), slope = −2/5
y = −2/5x − 1
The following equation models the growth of a tree in inches based on the amount of rainfall in inches per year. y = 0.27x + 87
What is the interpretation of the y-intercept?
The height of a tree is 87 inches if it does not rain.
−6(n − 6) = 30 − 7n
{−6}
Solve and Graph
−5(7 − 3x) ≥ 34 − 8x
x ≥ 3
Graph
Determine if the following representation models a linear or nonlinear scenario.
y − 4 = 3(x + 5)
Linear
Find the slope and y-intercept of the line with the following equation.
−5x + 10y = 50
Slope = 1⁄2
y-intercept = 5
All the students in class measured their foot length (x) and height (y) in centimeters.
Foot Length: 24, 22, 23, 20, 28, 25, 17, 26, 21
Height: 155, 145, 150, 135, 175, 160, 120, 165, 140
Use a calculator to find the regression equation.
y = 5x + 35
The wrestling team is traveling to a tournament during Winter Break. The travel expenses are $2360 for hotels and car rental. Meals are going to cost $35 for each of the wrestlers that attend. Write an equation that represents the total cost, C, based on the number of wrestlers, w.
C = 35w + 2360
To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
n ≥ 500
Identify all the key features of the line y= -4/5x +3.
slope, y-intercept, x-intercept, domain, range, increasing interval, decreasing interval, End behavior
slope: -4/5 Inc.: N/A
y-int: 3 dec: (-inf, inf)
x-int: 4 EB: as x- - inf, y - +inf
D: (-inf, inf) x - +inf, y- -inf
R: (-inf, inf)
State the transformations that occurred from y = −1/2x + 2 to the function y = 2x + 6.
Reflection across the x-axis
Vertical stretch by a factor of 2
Vertical Translation Up 4 units
All the students in class measured their foot length (x) and height (y) in centimeters.
Foot Length: 24, 22, 23, 20, 28, 25, 17, 26, 21
Height: 155, 145, 150, 135, 175, 160, 120, 165, 140
Find the length of a student’s foot whose height is 120 cm.
17 cm