Writing Equations of Lines
Graphing Linear Equations
Graphing Exponential Functions
Constant Rate of Change and Constant Ratio
Equivalent Equations
100
Write the equation of the line that passes through the point (4, 3) and has a slope of 9.
y=9(x-4)+3
100
What 2 pieces of information can you use to graph the line below:
y=5x+2
slope = 5 and y-intercept is (0, 2)
100
Given the equation
y=3*2^x
fill in the table of values below:
100
Determine if there is a constant rate of change, constant ratio, or neither. State the constant rate of change or constant ratio.
f(x)=3x+2
Constant rate of change = 3
100
Are the following equations equivalent? Show your work.
y=3x+2
y=3(x+2)
No. The second equation simplifies to
y=3x+6
200
Write the equation of the line that passes through the point (-2, 5) and has a slope of -4.
y=-4(x+2)+5
200
What 2 pieces of information can you use to graph the line below:
y=2/3(x-6)+1
A point on the graph is (6, 1)
Slope = 2/3
200
True or False? The graph below is
y=4*2^x
False. It is actually
y=4(1/2)^x
200
Determine if there is a constant rate of change, constant ratio, or neither. State the constant rate of change or constant ratio.
f(0)=8, f(x)=f(x-1)*2
Constant Ratio=2
200
Are the following equations equivalent?
y=2x+4
y=2(x-3)+10
Yes. See work below:
y=2x-6+10
y=2x+4
300
Write the equation of the line shown in the graph above.
y=4(x+1)-1
or
y=4x+3
300
Is the following the graph of
y=2(x-1)+4?
Yes
300
True or False? The graph below is
y=3*2^x
True.
300
Determine if there is a constant rate of change, constant ratio, or neither. State the constant rate of change or constant ratio.
g(n)=5(4)^n
Constant Ratio = 4
300
Are the following equations equivalent?
y=-4x+2
y=-4(x-3)+10
No. See work below:
y=-4x+12+10
y=-4x+22
400
Write the equation of the line in the graph below.
y=-1/2(x+6)-1
y=-1/2(x+2)-3
y=-1/2(x-2)-5
y=-1/2(x+4)-2
y=-1/2x-4
400
Is the above a graph of:
y=-1/3(x+3)-2
No, it would be:
y=-1/3(x-3)-2
400
Fill in the table of values below for
y=2(1/4)^x
400
Jack had 3 quarters in his piggy bank. Each week Jack's dad gives him 4 more quarters to put in his piggy bank. Is there a constant rate of change or constant ratio? Interpret it in the context of the problem.
There is a constant rate of change of 4. Jack adds 4 quarters a week.
400
Are the following equations equivalent? Show your work.
y=(1/2)x-3
y=1/2(x-8)+7
No. See work below:
y=1/2x-4+7
y=1/2x+3
500
Write the equation of the line that passes through the points (-3, 4) and (6, 5).
y=1/9(x-6)+5
y=1/9(x+3)+4
500
Is this the graph of
y=1/2x-4
No, the slope is positive, but the graph is going down. The correct equation for this graph is:
y=-1/2x-4
500
Is this the graph of
y=3(3/4)^x?
No, this is the graph of
y=3(1/2)^x
500
Carl has $90 in his savings account and now that he has a good job he thinks at the end of each month he'll triple the amount he had the month before. Is there a constant rate of change or constant ratio? Interpret it in the context of the problem.
There is a constant ratio of 3. The amount of money in Carl's account is being multiplied by 3 each month.
500
Are the following equivalent? Show your work.
y=5(x-2)+8
y=5(x+3)-17
Yes. See work below:
y=5x-10+8
y=5x+15-17
y=5x-2