Test your basic knowledge |

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. How many ranges can you have for each domain?
Horizontal left
Piecewise
Only one
Absolute Value - Constant and Standard Quadratic

2. How many ranges can you have for each domain?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
Only one
F(x)=IxI

3. Of the seven of algebra's common graph's how many are odd?
Zero slope
Three odd - cube root - identity - standard cubic
X^2
Odd

4. Which direction does f(x+c) move
Horizontal left
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
Perpendicular line

5. What type of function would you use to calculate the most advantageous cell phone plan?
Y=IxI
Piecewise
Y=x - identity function
Parabola

6. Is the standard cubic function odd - even or neither?
F(x)=x^3
Odd
(-infinity - 0]you[0 - +infinity)
45 degree angle

7. What does the absolute value function look like?
A V
No because you cannot have one domain pointing at two y's or ranges
As equations
(-infinity - +infinity)

8. What is the horizontal line formula?
Postiive slope
Y=b
C>1 - horizontal shrinking
F(x) = x

9. Which direction does f(x-c) move
F(x2)-f(x1) / x2-x1
Horizontal right
Y=b
Even

10. What can never equal zero in the slope formula and why?
Same
X2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range
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

11. x=no real numbers is what type of an equation?
Inconsistant
The secant line
Odd
Horizontal

12. f(x) = x^2+3x+5 - what type of formula is this?
Y
(-infinity - +infinity)
Y=b
Function notation

13. Which direction does f(x)=+c move in standard absolute value formula?
45 degree angle
The opposite coordinates
Odd
Up

14. What does the square root function look like on a graph?
F(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually
The slope of a line containing two points
Yes - all the domains points to one range

15. What is an identity function?
Function notation
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
Neither
45 degree angle

16. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
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
(-infinity - +infinity)
Only one

17. What shape is the standard quadratic function?
Parabola
Neither
Yes because two x's or domains can point to one y
Horizontal

18. Is the standard cubic function odd - even or neither?
Approach neg toward x through zero and above positive close to x
Inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd

19. What is a relation?
(-infinity - +infinity)
Horizontal
Any set of ordered pairs
In a quotient

20. What is a constant function?
F(x^1)=f(x^2)
Zero slope
Even
Cannot be drawn in quizlet

21. Is the square root function odd - even or neither?
Identity
Neither
Yes - all the domains points to one range
Down

22. What is the formula for the standard cubic function?
Yes because two x's or domains can point to one y
Horizontal right
F(x)=x^3
The opposite coordinates

23. What are the calculator instructions for a square root function?
Equation of a line
Function notation
2nd key - x^2 - graph
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

24. What type of slope do you have when a line falls left to right and m<0?
Negative slope
(-infinity - +infinity)
As equations
In a quotient

25. What are the steps for solving a word problem?
F(x)=+c and f(x)-c
Horizontal
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
Absolute Value - Constant and Standard Quadratic

26. y=f(cx) What does this formula represent?
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Because the demintor of a quotient can never equal zero
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Postiive slope
Yes - all the domains points to one range

29. What is the vertical line formula?
Zero slope
Y=IxI
X=a
(-infinity - +infinity)

30. Of the seven of algebra's common graph's how many are neither?
Square Root
Conditional
Zero slope
Y=x - identity function

31. Is the square root function odd - even or neither?
Any set of ordered pairs
F(x+h)-f(x)/h h cannot equal zero
Neither
Odd

32. What points do you use to plot the inverse on a graph?
Horizontal left
(-infinity - +infinity)
The opposite coordinates
(-infinity - +infinity)

33. What is the range for a standard quadratic function?
Conditional
As many as you like
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points

34. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
Square Root
Perpendicular line
Horizontal

35. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
Mirror image neg quadrant to that of the positive quandrant

36. What direction does f(x)-c move in standard absolute value formula?
Y
Horizontal left
The second set of components of an ordered pair
Down

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y
Y
Even
1 -2 -3

38. What is the range of the constant function?
The single number y=
F(x)=IxI
Equation of a line
Postiive slope

39. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
In a quotient
(-infinity - +infinity)
Odd

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

41. What is the domain for the standard cubic function?
(-infinity - +infinity)
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

42. x= a real number is what type of equation?
Y
Absolute Value - Constant and Standard Quadratic
Y=10
Conditional

43. What is the letter used to represent slope?
1 -2 -3
(-infinity - +infinity)
M
The single number y=

44. What is the range of a square root function?
F(x)=x^3
Horizontal
F(x2)-f(x1) / x2-x1
[0 -+infinity)

45. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes
Y= then enter the number then press graph
(-infinity - +infinity)

46. What is slope?
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges
A line passing through two distinct points
Down

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

48. What is the vertex?
The minimum or maximum points
Only one
Zero slope
Odd

49. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
Any set of ordered pairs
20+.05x=5+.10x x=minutes

50. What is the formula for 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
F(x^1)=f(x^2)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional