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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 can we substitute for f(x)?
Y
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function

2. 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
Up
Horizontal
Horizontal left

3. standard absolute value - vertical shift formulas for positve and negative
Horizontal right
F(x)=+c and f(x)-c
C>1 - horizontal shrinking
F(x) = x

4. What is the domain for a standard quadratic function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Cannot be drawn in quizlet
The second set of components of an ordered pair

5. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Y=IxI
Yes - all the domains points to one range
F(x)=IxI
20+.05x=5+.10x x=minutes

6. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Even
(-infinity - +infinity)
The first set of components of an ordered pair

7. What is the range for the standard cubic function?
(-infinity - +infinity)
Horizontal left
Neither
M

8. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Zero slope
Inconsistant
F(x2)-f(x1) / x2-x1

9. What is the domain for an absolute value function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
F(x)=3 square root x
Y

10. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
X^2
Identity
Because the demintor of a quotient can never equal zero

11. What are the calculator instructions for a standard quadratic equation?
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)
Any set of ordered pairs

12. How many ranges can you have for each domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one
As many as you like
(-infinity - +infinity)

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

14. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=IxI
Neither

15. What is the formula for the square root function?
F(x)=suare root of x
Y=IxI
Y=10
Conditional

16. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
Down
Undefined slope

17. 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
Zero slope
Y
Parabola

18. x= a real number is what type of equation?
Conditional
Neither
The opposite coordinates
0<c<1 - horizontal stretching

19. What is the domain and range of a constant function?
(-infinity - +infinity)
Identity
Zero slope
Down

20. What type of line is a constant function?
Horizontal
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola - up one and right three

21. A flat line underlining one vertical line is a symbol for...
Perpendicular line
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
Up

22. Of the seven of algebra's common graph's how many are neither?
Because the demintor of a quotient can never equal zero
Odd
Mirror image neg quadrant to that of the positive quandrant
Square Root

23. What is the formula for the cube root function?
F(x)=3 square root x
Same
A V
Y=IxI

24. What is the slope of a perpendicular line?
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
Negative inverse
X math 3 graph
Same

25. What is the formula for slope?
F(x2)-f(x1) / x2-x1
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x

26. Which direction does f(x-c) move
F(x2)-f(x1) / x2-x1
Horizontal right
Only one
Because the demintor of a quotient can never equal zero

27. What are the calculator instructions for a standard quadratic equation?
Function notation
Y=x^2 - graph
Line ascending to the right gradually
Postiive slope

28. What is the formula for an identity function?
F(x) = x
Conditional
45 degree angle
45 degree angle

29. Is the square root function odd - even or neither?
The single number y=
Yes because two x's or domains can point to one y
Any set of ordered pairs
Neither

30. What is the formula in both horizontal stretching and horizontal shrinking?
Neither
4 -6 -9
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes - all the domains points to one range

31. Which direction does f(x)=+c move in standard absolute value formula?
Up
A V
C>1 - horizontal shrinking
Horizontal

32. How many ranges can you have for each domain?
Down
Horizontal
Only one
X^2

33. What are the calculator instructions for the cube root function?
F(x)=IxI
M
Math 4 x - graph
4 -6 -9

34. What is a relation?
Any set of ordered pairs
(-infinity - +infinity)
The secant line
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

35. What type of slope do you have when the line is horizontal and m=0?
Horizontal left
The minimum or maximum points
Cannot be drawn in quizlet
Zero slope

36. Two vertical lines side by side are a symbol for what
F(x)=3 square root x
Parraelle line
Y=b
X^2

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
1 -2 -3
Y=x - identity function

38. What is the range of an identity function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
In a quotient
Change in y / change in x = rise / run = y2-y1 / x2-x1

39. 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
(-infinity - +infinity)
F(x) = x
0<c<1 - horizontal stretching

40. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
1 -2 -3
The opposite coordinates

41. What are the algebra of functions?
When does a graph not define y as a function of x?
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
A V

42. What does the graph of the cube root function look like on the graph?
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

43. What does the absolute value function look like?
A V
Cannot be drawn in quizlet
Horizontal left
2nd catalog (zero key -) abs(x) - graph

44. 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?
X=a
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.
As many as you like
X is the hours to repair the boat. $1603-532=anwser/63 = x

45. In an identity function if f(10)=x than What is y?
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
F(x)=IxI

46. Of the seven of algebra's common graph's how many are odd?
Negative inverse
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant
As equations

47. What is the domain for the standard cubic function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Negative slope
Conditional

48. How do you calculate a constant function in your calculator?
Mirror image neg quadrant to that of the positive quandrant
Same
Y= then enter the number then press graph
F(x)=x^3

49. Draw or discuss a decreasing function
Up
Conditional
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

50. What is the horizontal line formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b