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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 another way to write f(x)=x - what type of function is this?
Three odd - cube root - identity - standard cubic
45 degree angle
Even
Y=x - identity function

2. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x^1)=f(x^2)
Y
Negative slope
The secant line

3. Of the seven of algebra's common graph's how many are odd?
Down
Even
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A V
The secant line
Function notation
X^2

5. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
F(x)=suare root of x
20+.05x=5+.10x x=minutes
Horizontal
Math 4 x - graph

6. What is a range?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
Even
The second set of components of an ordered pair

7. What is the vertical line test?
When does a graph not define y as a function of x?
Yes because two x's or domains can point to one y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking

8. What is the range of a square root function?
Line ascending to the right gradually
Negative slope
[0 -+infinity)
Cannot be drawn in quizlet

9. Two vertical lines side by side are a symbol for what
Up
Parraelle line
1 -2 -3
Horizontal left

10. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Negative 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
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

11. What type of slope do you have when a line falls left to right and m<0?
The minimum or maximum points
Negative slope
Math 4 x - graph
(-infinity - +infinity)

12. What is the formula in both horizontal stretching and horizontal shrinking?
Inconsistant
Y=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. What does the absolute value function look like?
Y=10
A V
[0 -+infinity)
The secant line

14. Is the square root function odd - even or neither?
Neither
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent
Equation of a line

15. What type of slope do vertical lines have?
Undefined
[0 -+infinity)
The opposite coordinates
0<c<1 - horizontal stretching

16. What is the domain of the cube root function?
Same
Y=b
Conditional
(-infinity - +infinity)

17. 4(x-7)=4x+28 is what type of an equation?
Horizontal
Yes - all the domains points to one range
The first set of components of an ordered pair
Inconsitent

18. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Zero slope
20+.05x=5+.10x x=minutes
The single number y=

19. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
Negative inverse
F(x2)-f(x1) / x2-x1

20. What is a constant function?
F(x^1)=f(x^2)
Function notation
2nd key - x^2 - graph
The minimum or maximum points

21. x=no real numbers is what type of an equation?
Inconsitent
Inconsistant
F(x) = x
A V

22. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The minimum or maximum points
Three odd - cube root - identity - standard cubic
45 degree angle

23. What is the range of the constant function?
[0 -+infinity)
4 -6 -9
The single number y=
Piecewise

24. What is the point slope formula and when do you use it?
Parabola
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Any set of ordered pairs
Even

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

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

27. What is the domain of an identity function?
(-infinity - +infinity)
Undefined
Perpendicular line
Only one

28. What is the range for the standard cubic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1

29. y=f(cx) What does this formula represent?
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
X2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching

30. How are functions normally written?
Odd
Inconsistant
As equations
Undefined slope

31. What is the range of an identity function?
(-infinity - +infinity)
Only one
As equations
Yes because two x's or domains can point to one y

32. What is the horizontal line formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points
Piecewise
Y=b

33. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Piecewise
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

34. What is a relation?
F(x)=IxI
As equations
Any set of ordered pairs
F(x2)-f(x1) / x2-x1

35. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Zero slope
X^2
Only one

36. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Undefined slope
F(x)=+c and f(x)-c
Parabola - up one and right three

37. What is the range of the cube root function?
Y=b
Horizontal left
(-infinity - +infinity)
Identity

38. x=no real numbers is what type of an equation?
Inconsistant
Square Root
Neither
X^2

39. 4(x-7)=4x+28 is what type of an equation?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
Inconsitent
1 -2 -3

40. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Parabola
The opposite coordinates
A V

41. What are the steps for solving a word problem?
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=a
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph

42. How do you graph Ax+By+C=0?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal

43. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic

44. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
Even
The first set of components of an ordered pair

45. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
Y=10

46. What is the range of an identity 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.
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

47. What is the letter used to represent slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
M
C>1 - horizontal shrinking

48. What is the vertical line formula?
X=a
Equation of a line
The second set of components of an ordered pair
Horizontal

49. x= a real number is what type of equation?
(-infinity - +infinity)
F of g and g of f
Conditional
Square Root

50. What type of slope do you have when the line is horizontal and m=0?
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
Horizontal left
Zero slope
(-infinity - +infinity)