Evaluate the expression and explain each step in words.
If x is 4, what is the value of 2/3x-16/
Set up the equation or it is easier to solve
2/3x-16/when x =4
Then substitute x with 4
Next solve the multiplication portion of the equation
If x = 4, what is the value of 2|3x-16|
The first step would be to plug in the value of x into the equation: 2|3(4)-16|
Next would be to apply the order of operations by solving the equation for the absolute value:
First you would multiply 3x4 because mul
If you are looking at the horizon, you can determine the distance you are from the horizon in
miles, D, from a height, h, in feet by the equation of D =
. If you are standing on a
mountain top that is 12,000 feet in elevation, how far are you from the hor
The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets
and 2 children's tickets for a total of $80. The second day she received $145 for 5 senior citizen
tickets and 7 children's tickets. What is the price of
Equation: V = 20,000 2,000y
Value after 7 years: 20,000 2,000(7) = 20,000 14,000 = 6,000
I arrived at my answer because every year the car depreciates by $2,000. So, 1 year after
purchase at $20,000, the cars value depreciates to $18,000. 2 years after pu
Y = 35,000 + 0.45x
What is Toms base salary? $35,000
What percent commission does he earn? 45%
Would you be able to use this equation for Tom next year?
Yes. He will still be earning a base salary plus a percentage for the amount he sells for the
First simplify the equation by putting it together in an equation that is easier to understand.
2|3X-16| when X=4
Then substitute X with number 4.
Solve the multiplication portion of the equation using order of operations PEMDAS: 3(4) =12
x= the amount of dollars worth of jobs
So if x = 0, then y = $35,000 + 0.45(0) = $35,000
So that's Tom's base salary (the smallest amount he earns, even if no jobs are performed).
Tom's commission is his percentage of $ from each job
If x = the amount of
x= cost of senior citizens tickets
y= cost of children tickets
Multiply (1) by -7
Multiply (2) by 2
Add the two equations
plug value of x in (1)
First turn it around from left to right:
Divide by 1.2
Then square both sides:
Or you can square the denominator on the right:
From here, read = as approximately equal to:
Discuss the importance of constructing confidence intervals for the population mean.
What are confidence intervals?
Confidence interval are range of value, which describes the probability of occurring a point
estimate. In statistics we often try to deduce
Creating linear Equations
First I looked at the graph and saw after 5 years the car had been devalued $10,000.
That means that the car lost $2,000 in value every year. That had me set up this
equation: V= 20,000 2,000Y
Then I just plug in the numbers:
First I look at what the perimeter equals, which this problem says is 51. Then I plug
in the number, 51= 2w+2l . Then I extend the problem even further and plug in the
numbers we are working with. 51= 2w+2w+11.8 . I then subtract 11.8 on both
In order to solve this problem you need to find the area of both the shaded rectangle
and the white rectangle you do that by multiplying length times the width.
Now that I have both of the areas we can
System of Equation
So I first to start to look what Im dealing with here, and then I start with two
4x+2y = 80
5x+7y = 145
Then I set up those two equations so I can use the substitution method.
First you would find the area of the big, shaded rectangle by multiplying 6y and 14y 5.
6y(14y 5) = 84y - 30y
Next you would find the area of the smaller white rectangle by multiplying 3y and 3y + 5.
3y(3y + 5) = 9y + 15y
Then you would take the area of t