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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 the domain of a square root function?
F(x)=x^3
When does a graph not define y as a function of x?
[0 -+infinity)
Y=x^2 - graph

2. What is the point slope formula and when do you use it?
Y=x - identity function
F(x2)-f(x1) / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line

3. What is slope?
1 -2 -3
Even
As equations
A line passing through two distinct points

4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b

5. What is the letter used to represent slope?
The opposite coordinates
M
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=10

6. What is a range?
Parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
4 -6 -9
The second set of components of an ordered pair

7. What can we substitute for f(x)?
F(x)=IxI
Y
Even
Undefined slope

8. What is the range of the constant function?
The single number y=
Undefined
0<c<1 - horizontal stretching
(-infinity - +infinity)

9. Which direction does f(x-c) move
(-infinity - +infinity)
Horizontal right
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(f+g) - (f-g) - (fg) - (f/g) all of x

10. What is a relation?
Cannot be drawn in quizlet
Odd
Y=b
Any set of ordered pairs

11. What is the standard quadratic function?
Y=10
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
X^2
Cannot be drawn in quizlet

12. What is the letter used to represent slope?
Y=b
M
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

13. What type of slope do you have when the line is horizontal and m=0?
Parabola
Zero slope
Only one
Inconsitent

14. In an identity function if f(10)=x than What is y?
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
Identity
4 -6 -9
Y=10

15. What are the algebra of functions?
F of g and g of f
Function notation
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x

16. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
1 -2 -3
Negative inverse
45 degree angle

17. What is the formula for an identity function?
Same
F(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

18. What type of slope do you have when a line falls left to right and m<0?
Square Root
Negative slope
M
Cannot be drawn in quizlet

19. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
F of g and g of f
Even
(-infinity - +infinity)

20. What are the calculator instructions for the cube root function?
Math 4 x - graph
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points
Only one

21. What is the slope of a perpendicular line?
F(x2)-f(x1) / x2-x1
Odd
F(x^1)=f(x^2)
Negative inverse

22. $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?
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 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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

23. What is the domain for the standard cubic function?
M
(-infinity - +infinity)
Same
[0 -+infinity)

24. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
C>1 - horizontal shrinking
(-infinity - +infinity)

25. Is an absolute value function even - odd or neither?
As many as you like
Set the x and y to zero and get the intercepts and then plot the points
Even
The first set of components of an ordered pair

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X math 3 graph
1 -2 -3
(-infinity - +infinity)
F(x)=x^3

27. What can never equal zero in the slope formula and why?
Piecewise
X2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
F(x)=+c and f(x)-c

28. What does the absolute value function look like?
Conditional
A V
The second set of components of an ordered pair
(-infinity - +infinity)

29. A flat line underlining one vertical line is a symbol for...
Perpendicular line
(-infinity - +infinity)
Piecewise
(-infinity - +infinity)

30. How would this formula move f(x)=(x+1)^2-3
Y=10
Any set of ordered pairs
Parabola - up one and right three
When does a graph not define y as a function of x?

31. What is the domain for a standard quadratic function?
Piecewise
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

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

33. What is an identity function?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
45 degree angle
Cannot be drawn in quizlet

34. What is another way to write f(x)=x - what type of function is this?
X=a
Negative inverse
Neither
Y=x - identity function

35. What are the calculator instructions for a square root function?
Approach neg toward x through zero and above positive close to x
Perpendicular line
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph

36. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Negative inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

37. How are functions normally written?
Parabola
Up
F(x)=+c and f(x)-c
As equations

38. What is the slope intercept formula? Define all the variables.
Square Root
Neither
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. What is a domain?
Parabola
The secant line
The first set of components of an ordered pair
(-infinity - +infinity)

40. What does the square root function look like on a graph?
The second set of components of an ordered pair
Square Root
Line ascending to the right gradually
Yes because two x's or domains can point to one y

41. Is an absolute value function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
F(x)=suare root of x
The first set of components of an ordered pair
Even

42. What is the formula for to calculate the difference of a quotient function?
Cannot be drawn in quizlet
A V
F(x+h)-f(x)/h h cannot equal zero
Y=10

43. What type of slope do you have when the line is horizontal and m=0?
Zero slope
No because you cannot have one domain pointing at two y's or ranges
Y= then enter the number then press graph
Parabola

44. What is the domain of an identity function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Perpendicular line
F(x)=IxI

45. When is the only time (-infinity - +infinity) is not the domain?
Only one
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?

46. x= a real number is what type of equation?
Conditional
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
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range

47. What are the calculator instructions for absolute value?
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd catalog (zero key -) abs(x) - graph
As many as you like

48. What is the domain and range of a constant function?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line
(-infinity - +infinity)

49. Is an identity function even - odd or neither?
[0 -+infinity)
(-infinity - +infinity)
Odd
2nd catalog (zero key -) abs(x) - graph

50. What is the domain for an absolute value function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Math 4 x - graph
Absolute Value - Constant and Standard Quadratic