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Find the Domain/Range
Linear Equations
Simplifying
Ratios/Proportions
Standard Form vs. Slope-Intercept Form
100
Given f(x) = 3x - 2, find the range value if the value of the domain is 4.
range = 10
100
Question #3 on review. Which of the following does NOT represent a linear function? Be sure to explain why this is NOT a linear function for points.
D. slope changes
100
50 - 3(5x + 3) - 12x
-27 x +41
100
The sum of three numbers is 12. The ratios of the numbers is 1:2:3. What are the 3 numbers?
2, 4 ,6
100
Write the equation y= -6x - 2 in standard form.
6x+y = -2
200
Given f(x) = 3x - 2, find the domain value if the value of the range is 4.
Domain = 2
200
Rudy's Paint & Body shop charges a clean up fee of $45, plus $25 for each quarter hour of work. Jawaskie wrote an equation using t, the total cost of getting his car repaired, as a function of h, the number of hours the repair took and the clean up fee. Write an equation to represent this. What is the value of the slope in this equation and what does it represent?
t=100h +45 m= 100; Every hour of repair cost $100.
200
Simplify and solve the equation: 4x + 3 = 2(12 - 3x)
x=2.1
200
The sum of three consecutive numbers is 153. What are the 3 numbers?
50, 51, 52
200
Write the equation 5x - 2y = 14 in slope-intercept form.
y= 5/2 x -7
300
Given f(x) = 2x +8, find the range value if the value of the domain is 0.
Range = 8
300
Jennifer rented a helium tank to fill balloons for Alberto's surprise birthday party. The rental company charged a one-time rental fee of $10, and $2 per balloon filled. Write a function for this situation. How much will it cost to rent the truck and fill 100 balloons?
y=2x +10 $210 - that's a lot of money for some balloons...
300
Solve for x: 7x - 2(x-7) = 49
x = 7
300
The sum of three consecutive even numbers is 246. What are the three numbers?
80, 82, 84
300
If (x, -5) is a solution to the equation 2x +4y = 26, what is the value of x?
x = 13
400
Question #4
-5 <= y <= 7
400
Vanessa charges $60 per hour to fix laptop computers, plus a $30 service call fee. What is the y-intercept of a graph of this function?
y-intercept (0,60)
400
Solve: 2x – 2(3x – 2) = 2(x –2) + 20
x = -2
400
The sum of three consecutive odd numbers is 81. What are the three numbers?
25,27,29
400
Write the equation 3x - 2y = 16 in slope intercept form.
y= 3/2 x - 8
500
Given f(x) = 2x +8, find the domain value if the value of the range is 0.
Domain = -4
500
#12 on Test Review Write the new equation.
y=100x - 105
500
Solve: 3(2x + 5) = 3
x = -2
500
The sum of three consecutive odd numbers is 219. What are the three numbers?
71, 73, 75
500
Write the equation y = 1/3 x - 5 in Standard Form
x - 3y = 15