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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. $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?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
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
M

2. What is the letter used to represent slope?
F(x^1)=f(x^2)
M
Parabola - up one and right three
Function notation

3. What is another way to write f(x)=x - what type of function is this?
Because the demintor of a quotient can never equal zero
Y=x - identity function
Square Root
Only one

4. Of the seven of algebra's common graph's how many are even?
Odd
Negative slope
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x

5. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal

6. What is the formula for the cube root function?
(-infinity - +infinity)
F(x)=x^3
F(x)=3 square root x
Same

7. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Inconsitent
2nd key - x^2 - graph
Odd

8. What is the formula for the cube root function?
Undefined slope
F(x)=3 square root x
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. When is the only time (-infinity - +infinity) is not the domain?
Postiive slope
Any set of ordered pairs
[0 -+infinity)
In a quotient

10. What is the slope of a perpendicular line?
Negative inverse
X math 3 graph
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.
Cannot be drawn in quizlet

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
X^2
[0 -+infinity)
Cannot be drawn in quizlet

12. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
X=a
(-infinity - +infinity)
Negative slope

13. What is the domain of an identity function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Function notation
The slope of a line containing two points

14. y=f(cx) - What does this formula represent?
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
Negative slope
45 degree angle
C>1 - horizontal shrinking

15. What does the graph of the cube root function look like on the graph?
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
The secant line

16. Of the seven of algebra's common graph's how many are neither?
Square Root
A line passing through two distinct points
Parabola
X=a

17. Draw or discuss an increasing function
45 degree angle
Cannot be drawn in quizlet
[0 -+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.

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola
F of g and g of f

19. What is a domain?
Even
Even
The opposite coordinates
The first set of components of an ordered pair

20. What are the calculator instructions for the cube root function?
4 -6 -9
As many as you like
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

21. What does the square root function look like on a graph?
Approach neg toward x through zero and above positive close to x
As equations
Horizontal right
Line ascending to the right gradually

22. What is the horizontal line formula?
Y=b
Approach neg toward x through zero and above positive close to x
F(x) = x
Even

23. In an identity function if f(10)=x than What is y?
Parabola - up one and right three
Yes because two x's or domains can point to one y
Negative slope
Y=10

24. What are the calculator instructions for the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph

25. What is the range of an identity function?
A V
The slope of a line containing two points
X=a
(-infinity - +infinity)

26. What are two examples of composit functions?
In a quotient
Identity
F of g and g of f
Piecewise

27. What is the formula for slope?
45 degree angle
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1

28. Draw or discuss a constant function
In a quotient
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
Cannot be drawn in quizlet
Postiive slope

29. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise
Negative inverse
Identity

30. What is the formula for an identity function?
F(x) = x
Y=IxI
The minimum or maximum points
F(x)=+c and f(x)-c

31. What type of line is an identity function?
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
Approach neg toward x through zero and above positive close to x
F(x)=+c and f(x)-c

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

33. What type of line is an identity function?
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Inconsistant
Math 4 x - graph

34. 4(x-7)=4x+28 is what type of an equation?
Parraelle line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent
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.

35. How do you graph Ax+By+C=0?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points

36. What type of slope do horizontal lines have?
F(x)=+c and f(x)-c
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
Same

37. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
Parabola - up one and right three
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero

38. How do you calculate a constant function in your calculator?
Mirror image neg quadrant to that of the positive quandrant
Odd
Even
Y= then enter the number then press graph

39. What is the domain and range of a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
1 -2 -3
(-infinity - +infinity)

40. How many ranges can you have for each domain?
Cannot be drawn in quizlet
Negative slope
Only one
(-infinity - +infinity)

41. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Negative inverse
Zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. What is slope?
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
A line passing through two distinct points
(-infinity - +infinity)

43. What is the range for the standard cubic function?
Line ascending to the right gradually
(-infinity - +infinity)
F(x)=3 square root x
Three odd - cube root - identity - standard cubic

44. What is the formula for the standard cubic function?
F(x)=x^3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
0<c<1 - horizontal stretching

45. What is the domain of the cube root 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.
4 -6 -9
F(x+c) and f(x-c)
(-infinity - +infinity)

46. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Horizontal right

47. What does the average rate of change formula solve?
(-infinity - +infinity)
Odd
The slope of a line containing two points
Zero slope

48. What is an identity function?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
The single number y=

49. x= a real number is what type of equation?
F(x)=IxI
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
Conditional

50. x=no real numbers is what type of an equation?
A line passing through two distinct points
Postiive slope
(-infinity - +infinity)
Inconsistant