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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. What is a constant function?
F(x^1)=f(x^2)
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
X=a

2. What is the letter used to represent slope?
Equation of a line
X=a
(-infinity - +infinity)
M

3. How many domains can you have pointing to one range?
As many as you like
A V
[0 -+infinity)
X=a

4. What is the domain of a square root function?
Even
[0 -+infinity)
The single number y=
As many as you like

5. What are the algebra of functions?
Horizontal
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+c) and f(x-c)

6. What is the range for the standard cubic function?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x) = x
Three odd - cube root - identity - standard cubic

7. Of the seven of algebra's common graph's how many are even?
Parabola
Parabola
Absolute Value - Constant and Standard Quadratic
20+.05x=5+.10x x=minutes

8. What is the formula for the standard cubic function?
A line passing through two distinct points
Y=x^2 - graph
F(x)=x^3
When does a graph not define y as a function of x?

9. x=no real numbers is what type of an equation?
X^2
The opposite coordinates
Y=x - identity function
Inconsistant

10. How many ranges can you have for each domain?
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
M
(f+g) - (f-g) - (fg) - (f/g) all of x
Only one

11. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
Up
Function notation
2nd catalog (zero key -) abs(x) - graph

12. x=all real numbers is what type of an equation?
Horizontal
Perpendicular line
Identity
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

13. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Zero slope
Approach neg toward x through zero and above positive close to x
Conditional

14. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
C>1 - horizontal shrinking
Y

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=b
Yes - all the domains points to one range
(-infinity - +infinity)
X^2

16. What is the vertical line test?
Horizontal left
Odd
Only one
When does a graph not define y as a function of x?

17. What is the domain of an identity function?
Parraelle line
(-infinity - +infinity)
Postiive slope
(-infinity - 0]you[0 - +infinity)

18. What is slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b
A line passing through two distinct points
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.

19. What are the calculator instructions for the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
Math 4 x - graph

20. What can we substitute for f(x)?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
Y

21. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
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
No because you cannot have one domain pointing at two y's or ranges
Horizontal left

22. 4(x-7)=4x-28 is what type of an equation?
Inconsitent
F of g and g of f
Identity
The secant line

23. What is the point slope formula and when do you use it?
Y=b
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined

24. What equation does every line have? Discuss the variables.
Conditional
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.
Perpendicular line
Cannot be drawn in quizlet

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Math 4 x - graph
X^2
1 -2 -3
[0 -+infinity)

26. What is another way of writing the absolute value function?
C>1 - horizontal shrinking
Y=x - identity function
Line ascending to the right gradually
Y=IxI

27. 4x+5x=8x is what type of an equation?
Undefined slope
Line ascending to the right gradually
Y= then enter the number then press graph
Conditional

28. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
Y
Horizontal
Y=10

29. What type of slope do you have when m=? and the line is vertical?
Undefined slope
45 degree angle
Math 4 x - graph
45 degree angle

30. What is the formula for the cube root function?
Equation of a line
Identity
The slope of a line containing two points
F(x)=3 square root x

31. What is the formula for the square root function?
As many as you like
F(x)=suare root of x
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.
Identity

32. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Function notation
Zero slope
F(x^1)=f(x^2)

33. What is the slope of a perpendicular line?
Negative inverse
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

34. What can never equal zero in the slope formula and why?
F(x2)-f(x1) / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero
Down
Horizontal right

35. What is the vertical line formula?
X=a
2nd key - x^2 - graph
Even
Undefined slope

36. What is the formula for the square root function?
F(x)=suare root of x
Yes because two x's or domains can point to one y
(-infinity - +infinity)
(-infinity - +infinity)

37. What type of line is a constant function?
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
Horizontal
C>1 - horizontal shrinking

38. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
Equation of a line
Perpendicular line
2nd catalog (zero key -) abs(x) - graph

39. What does linear equation mean?
The secant line
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)
Equation of a line

40. What is the formula for an identity function?
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Any set of ordered pairs
F(x) = x

41. What is the domain and range of a constant function?
No because you cannot have one domain pointing at two y's or ranges
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
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.
(-infinity - +infinity)

42. What is the range of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Even

43. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

44. Is an identity function even - odd or neither?
The slope of a line containing two points
Cannot be drawn in quizlet
Odd
The secant line

45. What is the point slope formula and when do you use it?
X^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=3 square root x
Piecewise

46. What is the range of the cube root function?
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
F of g and g of f
(-infinity - +infinity)
Only one

47. What is the range of a square root function?
0<c<1 - horizontal stretching
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Equation of a line

48. What is the range for an absolute value function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
(-infinity - 0]you[0 - +infinity)
Identity

49. What shape is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
Parabola
(-infinity - 0]you[0 - +infinity)

50. Why can h not equal zero in the difference of a quotient function formula?
The second set of components of an ordered pair
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
Zero slope