College Algebra Test

Instructions:

• Answer 50 questions in 15 minutes.
• If you are not ready to take this test, you can study here.
• Match each statement with the correct term.
• Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What are the algebra of functions?
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
Identity


2. How do you graph Ax+By+C=0?
The minimum or maximum points
Piecewise
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Set the x and y to zero and get the intercepts and then plot the points


3. What are two examples of composit functions?
F of g and g of f
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
Only one


4. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
F(x)=IxI
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant


5. What is slope?
Negative slope
A line passing through two distinct points
Even
The single number y=


6. Is the square root function odd - even or neither?
The slope of a line containing two points
Function notation
Neither
Cannot be drawn in quizlet


7. What are the four steps for solving a linear equation?
M
Inconsitent
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Even


8. Of the seven of algebra's common graph's how many are neither?
The minimum or maximum points
Square Root
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x


9. What is the domain and range of a constant function?
Neither
The slope of a line containing two points
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x


10. What does linear equation mean?
Equation of a line
Y=b
(-infinity - +infinity)
F of g and g of f


11. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X is the hours to repair the boat. $1603-532=anwser/63 = x
4 -6 -9
No because you cannot have one domain pointing at two y's or ranges
F(x)=x^3


12. Is a constant function even - odd or neither?
The first set of components of an ordered pair
F(x2)-f(x1) / x2-x1
Even
Horizontal right


13. What does the absolute value function look like?
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
A V


14. What is the standard quadratic function?
Horizontal
(-infinity - +infinity)
X^2
Even


15. 4(x-7)=4x-28 is what type of an equation?
45 degree angle
Identity
Parabola
(-infinity - +infinity)


16. A flat line underlining one vertical line is a symbol for...
As equations
Undefined
Perpendicular line
F(x)=IxI


17. What is the range of an identity function?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y=10
The minimum or maximum points


18. What is the domain of a square root function?
Math 4 x - graph
[0 -+infinity)
The secant line
Piecewise


19. What is a constant function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
X math 3 graph
Inconsistant


20. What type of slope do vertical lines have?
Horizontal
Undefined
As equations
Math 4 x - graph


21. What are the calculator instructions for the cube root function?
Math 4 x - graph
Undefined
Neither
F(x+c) and f(x-c)


22. What is the slope of a perpendicular line?
Negative inverse
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040


23. What equation does every line have? Discuss the variables.
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
(-infinity - +infinity)
Horizontal left
F(x)=suare root of x


24. What are the calculator instructions for the standard cubic function?
Horizontal
Odd
F(x) = x
X math 3 graph


25. Draw or discuss an increasing function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
[0 -+infinity)
As equations


26. What is the range for an absolute value function?
Up
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


27. What type of function would you use to calculate the most advantageous cell phone plan?
As many as you like
Piecewise
X math 3 graph
Horizontal


28. Is a constant function even - odd or neither?
F(x)=3 square root x
Square Root
Horizontal
Even


29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x)=+c and f(x)-c
The secant line
Down
Conditional


30. x=no real numbers is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Y
45 degree angle
Inconsistant


31. y=f(cx) - What does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
45 degree angle
Piecewise


32. f(x) = x^2+3x+5 - what type of formula is this?
Negative inverse
Down
Function notation
The first set of components of an ordered pair


33. What is the formula for the square root function?
Equation of a line
(-infinity - 0]you[0 - +infinity)
F(x)=suare root of x
When does a graph not define y as a function of x?


34. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The opposite coordinates
Postiive slope
F(x)=IxI
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base


35. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Math 4 x - graph


36. What is the range of the constant function?
Y=x - identity function
Three odd - cube root - identity - standard cubic
Neither
The single number y=


37. Which direction does f(x-c) move
Horizontal right
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse
As equations


38. What is another way to write f(x)=x - what type of function is this?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant
Y=x - identity function


39. What does the average rate of change formula solve?
The slope of a line containing two points
Math 4 x - graph
Postiive slope
Cannot be drawn in quizlet


40. What are two examples of composit functions?
F of g and g of f
The slope of a line containing two points
Postiive slope
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base


41. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000


42. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Perpendicular line
No because you cannot have one domain pointing at two y's or ranges
20+.05x=5+.10x x=minutes
Horizontal left


43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking
X = the original sale price and the formula is x - .40x =$276
1 -2 -3


44. What type of line is a constant function?
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
X^2


45. What is the range for the standard cubic function?
The single number y=
Negative slope
Y=b
(-infinity - +infinity)


46. Is the standard cubic function odd - even or neither?
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
F(x)=+c and f(x)-c
Odd


47. What shape is the standard quadratic function?
Identity
Parabola
(-infinity - +infinity)
When does a graph not define y as a function of x?


48. How are functions normally written?
4 -6 -9
As equations
Y= then enter the number then press graph
Negative inverse


49. What is the formula for an absolute value function?
Inconsistant
F(x)=x^3
Horizontal left
F(x)=IxI


50. What type of slope do horizontal lines have?
Three odd - cube root - identity - standard cubic
Same
Postiive slope
(-infinity - +infinity)