Solve for x:
3x+8=-13
x=-7
(17-6-:2)+4xx3
26
Write the equation for the table shown below:
y=4x+5
Sequences that grow by adding a common difference each time.
Arithmetic Sequences
There are 3 algebraic methods to solve a system of equations, what are they?
Equal Values, Substitution, Elimination
What is the form of an exponential function? (y=...) and what does each part represent?
y=a(b)^x where a represents the starting value and b represents the multiplier.
State the exact translation.
Translation down 3 units and to the right 2 units.
Solve the equation below for x:
No Solution
12-:4*3
9
Write the equation for the tile pattern shown below:
y=2x+4
Sequences that grow by multiplying a common ratio each time.
Geometric Sequences
What is the solution to the system of equations show below?
(2, -1)
Write the exponential equation for the table shown below:
y=20(1/2)^x
Name the transformation
Reflection (across the y-axis)
Solve for x:
2(7x-5) = 6x-4
x=3/4
Or x=0.75
If
f(x)=-3x+2
, find f(5).
f(5)=-13
Find the equation that represents the tile pattern.
y=2x+3
Label the sequence as either Arithmetic or Geometric AND find the next term in the sequence:
1, -3, -7, -11,...
Arithmetic ; -15
Solve the system of equations below:
y=3x+4
y=2x-1
(-5, -11)
Write the equation of an exponential function shown below:
y=2(4)^x
Find the area of the rectangle as a sum in simplest form.
6x^2-7x-5
Solve for k:
k=-40
Find f(-4)
f(x)=x^2 -2
Write the equation of the line that passes through the points (-4, -1) and (0,-9)
y=-2x-9
Label the sequence as arithmetic or geometric AND write the equation of the sequence:
16, 8, 0, -8,...
Arithmetic ; y=-8x+24
Solve the system of equations below:
No Solution
Write the equation of the exponential function that goes through (0,3) and (1,6).
y=3(2)^x
Multiply the following.
(2x+5)(x-3)
2x^2-x-15
Solve for x:
(x-3)(2x+7)=2x^2-3x-13
x=2
If f(x) = 14, find x.
f(x)=x^2 -2
x=+-4
A room is 52 degrees before the heater is switched on. The heater increases the temperature in the room by 0.4 degrees per minute. What is the equation that represents the situation?
How long will it take to reach 68 degrees?
y=0.4x+52; 40 minutes
x=time in minutes
y=temperature
Label the sequence as arithmetic or geometric AND write the equation of the sequence:
16, 8, 4, 2,...
Geometric ;
y=32(1/2)^x
Solve the system of equations below:
x+y = -4
-x+2y=13
(-7,3)
Write the equation that represents the value of a car that was purchased for $30,000 and depreciates at a rate of 12% each year.
y=30,000(0.88)^x
What are the solutions to the inequality:
-2x+7<11
x>-2