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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 type of slope do horizontal lines have?
Horizontal right
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)
Same

2. What are two examples of composit functions?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
F of g and g of f
Set the x and y to zero and get the intercepts and then plot the points

3. 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
F of g and g of f
Function notation
F(x+h)-f(x)/h h cannot equal zero

4. What is a relation?
As many as you like
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
Undefined slope

5. What type of slope do horizontal lines have?
When does a graph not define y as a function of x?
Horizontal
Cannot be drawn in quizlet
Same

6. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=b
No because you cannot have one domain pointing at two y's or ranges
The secant line

7. Of the seven of algebra's common graph's how many are neither?
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.
(-infinity - +infinity)
(-infinity - +infinity)
Square Root

8. Is the standard cubic function odd - even or neither?
Zero slope
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph
Odd

9. A flat line underlining one vertical line is a symbol for...
Horizontal left
Y
0<c<1 - horizontal stretching
Perpendicular line

10. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
F(x+c) and f(x-c)
X^2

11. What is the range for a standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle

12. What is the domain for a standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Identity
(-infinity - 0]you[0 - +infinity)

13. What is a constant function?
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x^1)=f(x^2)
0<c<1 - horizontal stretching

14. What is another way of writing the absolute value function?
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
Y=IxI

15. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
M
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
The secant line
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

17. What can never equal zero in the slope formula and why?
F of g and g of f
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal left
X2-x1 because the demonaitor of a quotient can never equal zero

18. What points do you use to plot the inverse on a graph?
Undefined
The opposite coordinates
Three odd - cube root - identity - standard cubic
Even

19. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
Zero slope
Yes because two x's or domains can point to one y

20. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
4 -6 -9
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
Set the x and y to zero and get the intercepts and then plot the points
Even

21. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range
When does a graph not define y as a function of x?

22. 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
(-infinity - +infinity)
Y=10
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.

23. What type of line is a constant function?
Horizontal
F(x)=+c and f(x)-c
Line ascending to the right gradually
Odd

24. What does the average rate of change formula solve?
2nd key - x^2 - graph
F(x) = x
The slope of a line containing two points
Cannot be drawn in quizlet

25. What is the range for the standard cubic function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Neither
Function notation

26. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Horizontal left
Only one
The single number y=

27. How would this formula move f(x)=(x+1)^2-3
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
Parabola - up one and right three

28. How many domains can you have pointing to one range?
When does a graph not define y as a function of x?
As many as you like
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x

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
(-infinity - +infinity)
Even
F(x^1)=f(x^2)

30. What is the horizontal line formula?
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f

31. What is the formula in both horizontal stretching and horizontal shrinking?
C>1 - horizontal shrinking
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal right
Undefined slope

32. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
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.
Yes - all the domains points to one range
Inconsitent

33. What is slope?
Function notation
Horizontal
(-infinity - +infinity)
A line passing through two distinct points

34. Of the seven of algebra's common graph's how many are odd?
X math 3 graph
Because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
A V

35. 4(x-7)=4x-28 is what type of an equation?
Identity
F(x)=IxI
Y= then enter the number then press graph
Function notation

36. 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
Square Root
C>1 - horizontal shrinking
Y

37. Two vertical lines side by side are a symbol for what
X^2
Parraelle line
C>1 - horizontal shrinking
Zero slope

38. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Approach neg toward x through zero and above positive close to x
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

39. What is the domain for an absolute value function?
Any set of ordered pairs
Inconsistant
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

40. What can we substitute for f(x)?
Y
F(x)=3 square root x
20+.05x=5+.10x x=minutes
Because the demintor of a quotient can never equal zero

41. What is the domain for an absolute value function?
Even
Y= then enter the number then press graph
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

42. Which direction does f(x-c) move
(-infinity - +infinity)
Horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points

43. Is a standard quadratic function even - odd or neither?
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal left
Even

44. How many ranges can you have for each domain?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Only one
Equation of a line

45. x=all real numbers is what type of an equation?
Odd
Identity
Inconsitent
Because the demintor of a quotient can never equal zero

46. What does the graph of the cube root function look like on the graph?
Y=b
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.
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x

47. What is the vertex?
Y
Square Root
The minimum or maximum points
C>1 - horizontal shrinking

48. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

50. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
(-infinity - +infinity)
1 -2 -3