Ch 1 Linear Equations
Solve the equation
x - 8 = 12
What is x =20
Solve the inequality x - 6 > 3
What is x > 9
Do the following ordered pairs represent a linear or nonlinear function?
(1, 0), (3, 8), (5, 24), (7, 48)
What is a nonlinear function
Find the slope of the line that passes through the points (2, 8) and (5, 14) in simplest form.
What is 2
Describe the solution set of an inequality
What are all of the numbers that make the inequality true. For example, any number greater than six is part of the solution set of x > 6
Solve -2x - 7 = 3
What is x = -5
Write the word sentence as an inequality.
"A number x plus 5 is less than 16."
What is x + 5 < 16
Why is the following set of ordered pairs NOT a function?
(0, 1), (8, 5), (0, 2), (3, 4)
Why can a function not have a repeating x-value
Write an equation of a line that passes through the point (8, 8) and has a slope of 7/4
y - 8 = 7/4 (x - 8)
or
y = 7/4x - 6
The set of a x-values of a function is called the ___ ?
What is the Domain
Solve the equation 4(x - 3) - 8 = 4
What is x = 6
Solve the inequality.
8x > 4x + 32
What is x > 8
A movie theater charges $7 per person. You bring a maximum of eight friends. Does this situation represent a function? If so, describe the domain.
What is yes and the domain could be integers (whole numbers) from 0 to 9 because it represents the number of tickets you buy for you and up to 8 friends.
Write an equation in point-slope form of the line that passes through the point (6,3) and has a slope of 2/3.
y - y1 = m (x - x1)
y - 3 = 2/3 (x - 6)
What is an absolute value equation and what makes evaluating them different than linear equations?
What is an equation with absolute value bars, such as |x| = 3 and you must evaluate the positive and the inverse version of the equation
The difference of 5 times a number and 10 is -30. Write and solve an equation to find the number.
What is 5x - 10 = -30
x = -4
Solve the inequality.
-5 < 2x - 7 < 7
What is 1 < x < 7
Use intercepts to graph the equation x - 4y = -4
What is (-4, 0) & (0, 1)
Write the following equation in slope-intercept form.
y - 3 = 1/2(x - 4)
y = 1/2 x + 1
What is a continuous domain? Give an example.
A set of input values for a function that consist of all numbers in an interval, including fractions and decimals. Time and weight are examples of continuous variables.
You have 160 meters of fencing to enclose a rectangular pen for your dog. To provide sufficient running space for your dog to exercise, the pen should be three times as long as it is wide. Find the dimensions of the pen.
What are 20 meters by 60 meters.
Solve the inequality.
2(2x - 12) - 8 < 4(3x - 18)
What is x > 6
Graph the function f(x) = 2x - 2 and provide the x-intercept.
What is (1, 0)
Write an equation in slope-intercept form of the line that passes through the points (2, 2) and (5, 11).
y = mx + b
What is y = 3x - 4
What is a function notation? How do we represent the output?
A form of writing an equation in f(x) = y