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College Algebra Test

Subjects : math, algebra

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. Which direction does f(x-c) move
The first set of components of an ordered pair
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
Cannot be drawn in quizlet
Horizontal right

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
45 degree angle
Parraelle line
Inconsitent

3. What direction does f(x)-c move in standard absolute value formula?
Undefined
Down
F(x)=x^3
X = the original sale price and the formula is x - .40x =$276

4. What is the domain for the standard cubic function?
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Parabola - up one and right three

5. Is the square root function odd - even or neither?
Neither
Piecewise
No because you cannot have one domain pointing at two y's or ranges
When does a graph not define y as a function of x?

6. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Up

7. What are two examples of composit functions?
Horizontal
F of g and g of f
Y
Y=IxI

8. What does the graph of the cube root function look like on the graph?
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
Parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The secant line
45 degree angle
Horizontal right

10. What type of line is an identity function?
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.
No because you cannot have one domain pointing at two y's or ranges
45 degree angle
Negative slope

11. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola
Identity
Piecewise

12. What does linear equation mean?
Y= then enter the number then press graph
Conditional
As equations
Equation of a line

13. What type of slope do you have when a line rises from left to right and m>0?
Inconsistant
Postiive slope
45 degree angle
(-infinity - +infinity)

14. What is the range of an identity function?
X = the original sale price and the formula is x - .40x =$276
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
(-infinity - +infinity)

15. How do you graph Ax+By+C=0?
(-infinity - +infinity)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Piecewise

16. 4x+5x=8x is what type of an equation?
Even
Set the x and y to zero and get the intercepts and then plot the points
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.
Conditional

17. 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
[0 -+infinity)
Even

18. Draw or discuss an increasing function
Cannot be drawn in quizlet
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope

19. Which direction does f(x+c) move
F(x)=IxI
Horizontal left
Even
As equations

20. What is the formula for slope?
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal left
F(x)=+c and f(x)-c

21. What are the calculator instructions for a square root function?
Postiive slope
2nd key - x^2 - graph
F(x)=3 square root x
(-infinity - +infinity)

22. What is the vertical line test?
Y=IxI
Undefined
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
When does a graph not define y as a function of x?

23. What is the formula for an identity function?
Even
F(x) = x
Y=IxI
(-infinity - +infinity)

24. What is the vertex?
As equations
(-infinity - +infinity)
The minimum or maximum points
F(x+c) and f(x-c)

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y
Zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

26. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
Negative slope
Odd
Perpendicular line

27. Which direction does f(x-c) move
Horizontal right
The slope of a line containing two points
Y=IxI
Horizontal

28. Draw or discuss a constant function
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
X^2
Horizontal
Cannot be drawn in quizlet

29. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Parabola
When does a graph not define y as a function of x?
Even

30. f(x) = x^2+3x+5 - what type of formula is this?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function notation
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

31. What is the formula for to calculate the difference of a quotient function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+h)-f(x)/h h cannot equal zero
Down
Approach neg toward x through zero and above positive close to x

32. How many domains can you have pointing to one range?
As many as you like
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
Yes - all the domains points to one range
(-infinity - +infinity)

33. How many ranges can you have for each domain?
No because you cannot have one domain pointing at two y's or ranges
Square Root
Y=10
Only one

34. What can we substitute for f(x)?
Odd
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph
Y

35. What is the letter used to represent slope?
Inconsistant
Undefined
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
M

36. What are the calculator instructions for the cube root function?
Math 4 x - graph
F(x^1)=f(x^2)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
1 -2 -3

37. What does the graph of the cube root function look like on the graph?
F(x)=suare root of x
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
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

38. y^2+x=4 is this a function? Why?

39. What is the range of an identity function?
(-infinity - +infinity)
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.
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
Conditional

40. What is the slope of a perpendicular line?
Odd
Mirror image neg quadrant to that of the positive quandrant
Negative inverse
Negative slope

41. How are functions normally written?
(-infinity - +infinity)
As equations
(-infinity - +infinity)
Identity

42. What is a domain?
Piecewise
X=a
The first set of components of an ordered pair
Equation of a line

43. What type of slope do vertical lines have?
Undefined
Y=b
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

44. What are the steps for solving a word problem?
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Square Root
Even
No because you cannot have one domain pointing at two y's or ranges

45. What does the average rate of change formula solve?
The slope of a line containing two points
F(x)=x^3
The single number y=
Horizontal

46. Of the seven of algebra's common graph's how many are even?
Even
Negative slope
Y=IxI
Absolute Value - Constant and Standard Quadratic

47. What is the domain and range of a constant function?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

48. What is a relation?
Any set of ordered pairs
Equation of a line
Mirror image neg quadrant to that of the positive quandrant
Parabola - up one and right three

49. Why can h not equal zero in the difference of a quotient function formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Same
Because the demintor of a quotient can never equal zero
Even

50. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
Y=x - identity function