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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. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
As many as you like
20+.05x=5+.10x x=minutes
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
2nd catalog (zero key -) abs(x) - graph

2. What type of line is a constant function?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal

3. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x+c) and f(x-c)
Inconsitent
(-infinity - +infinity)

4. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
As many as you like
Absolute Value - Constant and Standard Quadratic

5. $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?
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
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 minimum or maximum points

6. What equation does every line have? Discuss the variables.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Math 4 x - graph
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.
Postiive slope

7. What is the formula for the cube root function?
Because the demintor of a quotient can never equal zero
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
C>1 - horizontal shrinking
F(x)=3 square root x

8. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Horizontal
Even
Undefined

9. 4x+5x=8x is what type of an equation?
F(x+c) and f(x-c)
Conditional
Yes - all the domains points to one range
Line ascending to the right gradually

10. What are the calculator instructions for the standard cubic function?
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 math 3 graph
20+.05x=5+.10x x=minutes
Horizontal

11. What is the range for the standard cubic function?
(-infinity - +infinity)
The opposite coordinates
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What is the range of a square root function?
Horizontal
Odd
[0 -+infinity)
20+.05x=5+.10x x=minutes

13. x=no real numbers is what type of an equation?
Inconsistant
F(x) = x
Y=x - identity function
Y=x^2 - graph

14. What is the point slope formula and when do you use it?
Undefined
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even

15. What is a range?
Y= then enter the number then press graph
The second set of components of an ordered pair
Horizontal right
Down

16. What is the domain of an identity function?
(-infinity - +infinity)
Parabola - up one and right three
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)

17. What is the formula in both horizontal stretching and horizontal shrinking?
Up
A line passing through two distinct points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations

18. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates
2nd key - x^2 - graph

19. What does the average rate of change formula solve?
Horizontal left
(-infinity - +infinity)
The slope of a line containing two points
Math 4 x - graph

20. f(x) = x^2+3x+5 - what type of formula is this?
Undefined
Up
Function notation
Horizontal

21. Is a standard quadratic function even - odd or neither?
Even
As equations
The single number y=
F(x)=3 square root x

22. y=f(cx) - What does this formula represent?
The first set of components of an ordered pair
Identity
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y

23. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
4 -6 -9

24. What is the formula for an identity function?
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
Three odd - cube root - identity - standard cubic
F(x) = x
F(x)=+c and f(x)-c

25. What type of line is a constant function?
Horizontal
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)
Negative slope

26. What type of slope do horizontal lines have?
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
Y=x - identity function
The opposite coordinates
Same

27. What are the calculator instructions for absolute value?
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.
2nd catalog (zero key -) abs(x) - graph
4 -6 -9
F(x) = x

28. 4x+5x=8x is what type of an equation?
Undefined
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

29. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
Odd
F(x) = x
Horizontal

30. Draw or discuss a constant function
The slope of a line containing two points
Even
Cannot be drawn in quizlet
(-infinity - +infinity)

31. What is the domain for an absolute value function?
F(x2)-f(x1) / x2-x1
Negative inverse
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

32. What is the formula for an absolute value function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
F(x)=IxI
Conditional

33. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Only one
Piecewise
X^2

34. Is an absolute value function even - odd or neither?
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
Even
Y=10
Perpendicular line

35. What is a relation?
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs

36. What is the standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
Parabola - up one and right three
X^2
F(x) = x

37. What does the absolute value function look like?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
Mirror image neg quadrant to that of the positive quandrant
Because the demintor of a quotient can never equal zero

38. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
As many as you like
Odd

39. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
In a quotient
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
X = the original sale price and the formula is x - .40x =$276

40. What type of slope do you have when a line falls left to right and m<0?
Conditional
Negative slope
Parraelle line
F(x)=IxI

41. Is an identity function even - odd or neither?
Square Root
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
Odd
Undefined

42. What type of slope do you have when a line rises from left to right and m>0?
Only one
Postiive slope
Any set of ordered pairs
Horizontal left

43. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Inconsistant
Undefined slope
Y=x^2 - graph

44. 4(x-7)=4x+28 is what type of an equation?
X^2
4 -6 -9
Inconsitent
Odd

45. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Up
Cannot be drawn in quizlet
Horizontal

46. What is the formula for the square root function?
0<c<1 - horizontal stretching
F(x)=suare root of x
M
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

47. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal
Equation of a line
Yes - all the domains points to one range

48. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes
F(x)=x^3

49. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
Y=x - identity function

50. What are the calculator instructions for a square root function?
A line passing through two distinct points
(-infinity - +infinity)
2nd key - x^2 - graph
As equations