Unit 1a
True or False: The equation x + y = 12 is an example of a linear function.
True
True or False: Absolute value is defined as the distance from one unit to another.
False
Linear or Non-Linear:
Input Output
1 3
2 9
3 27
4 81
Non-Linear
True or False: The rate of change is how a quantity is changing with respect to a change in another quantity.
True
What is the other word for rate of change?
slope
Solve the linear equation:
12 = x - 3
x = 15
A thermometer is accurate to ±2°F. Which absolute value equation can be used to find the greatest and least possible temperatures if the thermometer is reading 17°F?
A. | t - 17 | = 2
B. | t + 17 | = 2
C. | t - 2 | = 17
A. | t - 17 | = 2
Given f(x) = 3x + 2, solve for f(-2).
A. -4
B. 4
C. 8
What is the form of the equation given?
2x - 3y = 7
A. Standard Form
B. Slope-Intercept Form
C. Point-Slope Form
A. Standard Form
What is the form of the equation given?
y = 2x + 1
A. Standard Form
B. Slope-Intercept Form
C. Point-Slope Form
B. Slope-Intercept Form
Solve the linear equation:
2x - 5 = 13
x = 9
Solve the linear equation:
5x + 12 = 32
x = 4
Given g(x) = x2 - x, solve for g(1).
A. 1
B. 0
C. -1
B. 0
Identify the y-intercept of the equation y = 3x + 8.
A. (3, 0)
B. (3, 8)
C. (0, 8)
C. (0, 8)
Determine the rate of change:
x y
1 -5
2 -3
3 -1
4 1
m = -2
The freshman spirit club took a trip to the state fair. There were 59 students (x) and 6 chaperones and the total admission cost for the group was $508. Each student ticket cost $2 more than each chaperone ticket. Write a one variable equation to find the cost of a student ticket.
A. 59 + 6(2x) = 508
B. 59x + 6y = 508
C. 59x + 6(x-2) = 508
C. 59x + 6(x-2) = 508
Houston has $65 in his savings account, and his sister has $140 in his savings account. Houston is depositing $15 per week to his account, and his sister is depositing $10 per week to her account. Write a one variable equation to determine how many weeks it will take for Houston and his sister to have the same amount of money.
A. 80w = 150w
B. 65 + 15w = 140 + 10w
C. 75w = 155w
B. 65 + 15w = 140 + 10w
The cost of a gym membership is $80 up front with a $50 monthly charge. The function that represents the relation is f(x)=80+50x, where x is the number of months and f(x) is the cost. Find f(12).
f(12) = 680
Connor and Pilar are in a rock climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute.
What is Connor's initial value?
200 feet
Given the equation 2x - 6y = 12.
Solve for the y-intercept.
y-intercept: (0, -2)
Anissa and Audrey work in telemarketing. Anissa earns $76 per week, plus $16 for each sale she makes. Audrey earns $60 per week, plus $20 for each sale she makes. How many sales do Anissa and Audrey each have to make in a week for their weekly salaries to be equal?
Audrey and Anissa have to each make _____ sales in order for their weekly salaries to be equal.
4
Select all the values of x that are solutions on
|3x - 6| = 12. Choose 2 answers.
-18, -6, -2, 2, 6, 18
-2 and 6
Evaluate the function f(x) = -2x2 + 18x + 36.
Find f(2).
f(2) = 64
Find the slope given the two points: (-3, 4) and (1, 7)
m = 3/4
A boat is located at sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface. A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver. What is the slope between the scuba diver and fish?
m = 3