EQUATION STATION
Model This
Function Junction
Read that graph
Mixed up Math
100
Simplify 7x+4-2x+9
5x+13
100
A membership costs $30 plus $5 per visit. What is the initial value?
$30
100
Find the domain: {(-2,5),(0,7),(4,9)}
{-2,0,4}
100
Identify the y-intercept
(0,2)
100
What does the point (-3,0) tell you about a graph?
the x intercept is -3
200
Solve 4x-9=19
x=7
200
A membership costs $30 plus $5 per visit. Write an equation for that situation using x= visits and y=total cost.
y = 5x +30
200
Is {(2,5),(3,7),(2,9)} a function? Explain.
No. It has repeating x's
200
What is the x-intercept?
(4,0)
200
y=5x-7 Identify the initial value and slope
slope = 5
initial value = -7
300
Solve 5(x-2) = 3x+8
x=9
300
You have $80 and save $15 each week. Write an equation for your total money after x weeks.
y = 15x + 80
300
f(-2)=11. or (-2,11)
300
What is the domain and range?
domain: all real numbers
range: y>= -4
300
y=-2x+8. Find both intercepts.
(0,8),(4,0)
400
Solve: 4x + 7 = 2x - 11
x = -9
400
A taxi charges $4 initially plus $2.50/mile. Your ride costs $19. Write and solve an equation.
2.5x + 4 = 19
400
A table has y-values 3, 7, 11, 15 as x increases by 1. Is it linear? Explain.
Yes, constant rate of change 4.
400
Identify where the function is increasing
when x is greater than 1 or from 1 to infinity
400
Points (0,-3),(2,5),(4,13) Find rate of change and write the equation.
m=4, y=4x-3
500
x = -3, 6
500
Plan A costs $20 plus $8/month. Plan B costs $44 plus $4/month. When do they cost the same?
@ 6 months they are both $68
500
A graph is continuous, decreasing, crosses the y-axis at 8 and the x-axis at 4. Name four things you know about it. Draw a possible graph.
Answers include: continuous, decreasing, y-intercept (0,8), x-intercept (4,0)
500
Tell me everything you know $100 points for each fact:
answers vary
500
A company charges $25 plus $6/item. Write the equation, identify rate and initial value, give three points, and explain the y-intercept.
y=6x+25; rate 6; initial value 25; y-intercept means $25 before any items are purchased.