Equations & Inequalities
Solve the compound Inequality
5 < 3x - 4 < 8
3 < x < 4
What is the name of the form of a line below?
Ax + By = C
Standard Form
|x | = 9
What are the possible values of x?
9, -9
What does the "a" stand for in the equation for an exponential function?
initial or starting value
4(2 - x) > 24
x<-4
Write an equation parallel to y=3/4 x -3 and contains the point ( 0,5)
y = 3/4 x + 5
Find the solution to the system.
2x - y = 3
y = x - 3
(0, -3)
An exponential function that decreases over time is called _______________.
Exponential Decay
Solve for x.
|x - 2| = 5
7, -3
If the y value of a function triples each time the x value increases by 1, what is the "b" value?
3
4x + 3( x-2) = 5x - 20
x = -7
Write the y-intercept of the equation 2x -5y = 6
What is -6/5
Solve for x.
3x - 1 < -7 or -4x - 9 < -13
x < -2 OR x > 1
In the equation below, what is the vocabulary word for the "3"?
5x + 3y = - 2
coefficient
Express your answer as a compound inequality.
|x - 2| < 4
-2 < x < 6
Amanda wants to increase her photography business by 18% each year. She currently serves 50 clients per year. How many clients will she serve 3 years from now if she meets her goal?
82 clients
Identify the slope of the line through the points (1,6) and (3,-3)?
-9/2
Betty has $15 dollars to spend on fruit. Apples are $2 per pound and bananas are $3 per pound. She needs at least 6 pounds of fruit total.
If she buys 6 pounds of apples, what is the greatest amount of bananas she can buy?
1 pound
What is the word for all possible x-values of a function?
domain
Solve for x.
3|x + 3| = 12
x = 1, -7
The population of Whoville is decreasing by 3% per year. Their population this year is 10,000. How many people will live in Whoville in 5 years?
8,587 people
A business purchases a computer for $2000. The value of the computer depreciates $400 per year. Write a linear equation gives the value y of the computer after x years?
y = - 400 x + 2,000
Find the solution to the system.
3x + 7y = 105
14y = 49 - 6x
No Solution
A relation in which each input is assigned only one output.
A function
-5|x - 3| = 15
no solution
Juan invests $3,000 into an account that pays 2% interest, compounded monthly. If he never withdraws money from the account, how much money will he have in 10 years?
$3,663.60