Functions
Linear and Nonlinear Functions
No Solution or Solution
Word Problems
Solving system of Equations
100
A _______________ is a rule or formula that assigns to each input exactly one output
What is a function
100
Solve the linear equation 29 − 3
What is 3
100
Determine the nature of the solution to each system of linear equation. 3x + 4y =5 y = -3/4x + 1
What is no solution
100
The sum of two numbers is 361, and the difference between the two numbers is 173. What are the two numbers?
What is (267, 94)
100
Solve using substitution 2x + 5y = 9 y= -3
What is (12, -3)
200
A function is a ______________ relationship describe by a formula
What is predictive
200
Define a linear equation and nonlinear equation
What is no variable raised to a power greater than 1 is a linear equation and non linear is a variable raise to a power greater than one
200
Determine the nature of the solution to each system of linear equation. 7x + 2y = -4 x -y =5
What is a solution
200
Small boxes contain DVDs and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVD's weighs 48 pounds. Three boxes of gaming machine and five boxes of DVD's weigh 72 pounds. How much does each box weigh?
What is (14,6).
200
Solve using Elimination -5x + 8y = -4 6x - 8y = -12
What is (-16, -10.5)
300
Input stands for what values
What is x
300
To determine whether a graph represents a function, you can use the _____________
what is vertical line test
300
Determine the nature of the solution to each system of linear equation. 9x + 6y = 3 3x + 2y = 1
What is infinite solutions
300
Small boxes contain DVDs and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVD's weighs 48 pounds. Three boxes of gaming machine and five boxes of DVD's weigh 72 pounds. How much does each box weigh?
What is (14,6).
300
Solve using substitution 3x + 6y =18 y =5
What is (4, -5)
400
It take Semaj 34 minutes to complete his homework assignment of 10 problems. If we assume that he works at a constant rate, we can describe the situation using a function. Write a two-variable linear equation to represent Semaj's constant rate of work.
What is y= 5/17 x
400
The rate of change is also known as the ________of the graph
What is slope
400
Convert x + 2y = 18 in slope intercept form Hint: y = mx + b
What is y = 1/2 x + 9
400
A family member has some five-dollar bills and one-dollar bills in her wallet. Altogether she has 18 bills and a total of $62. How many of each bill does she have.
What is (11, 7)
400
Solve by using substitution y= 6x - 11 -2x - 3y = -7
What is (2,1)
500
Can the table shown below represent values of a function? Explain. Input (x) 1 3 5 5 9 Output (y) 7 16 19 20 28
What is no the table cannot represent a function because the input of 5 has two different outputs for each input.
500
You can find the rate of change by using any two points on the line by using these formulas
What is y2-y1/ x2-x1 or output1 -output2 / input1 -input 2
500
Convert 3x - 2y = -14 in slope intercept form Hint y = mx + b
What is y = 3/2x +7
500
A friend brought 2 boxes of pencils and 8 notebooks for school, and it cost him $11. He went back to the store the same day to buy school supplies for his younger brother. He spent $11.25 on 3 boxes of pencils and 5 notebooks. how much would 7 notebooks cost?
What is $5.25
500
Solve by using elimination x - 4y =7 5x + 9y =6
What is (3, -1)