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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 the vertical line formula?
X=a
Odd
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
(-infinity - 0]you[0 - +infinity)

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

3. Is the square root function odd - even or neither?
F(x+h)-f(x)/h h cannot equal zero
Neither
In a quotient
Down

4. x= a real number is what type of equation?
F(x^1)=f(x^2)
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
Line ascending to the right gradually
Conditional

5. Is the square root function odd - even or neither?
[0 -+infinity)
F of g and g of f
Cannot be drawn in quizlet
Neither

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Y= then enter the number then press graph
Negative slope
4 -6 -9

7. What are the calculator instructions for a square root function?
Function notation
(-infinity - +infinity)
2nd key - x^2 - graph
F(x2)-f(x1) / x2-x1

8. Which direction does f(x+c) move
Square Root
Horizontal left
Identity
(-infinity - +infinity)

9. 4(x-7)=4x+28 is what type of an equation?
The secant line
F(x)=3 square root x
Inconsitent
Postiive slope

10. f(x) = x^2+3x+5 - what type of formula is this?
Y= then enter the number then press graph
M
Horizontal
Function notation

11. What are the calculator instructions for the cube root function?
Parraelle line
Conditional
Negative slope
Math 4 x - graph

12. f(x) = x^2+3x+5 - what type of formula is this?
Conditional
Function notation
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined slope

13. What is the formula for the standard cubic function?
Down
Down
F(x)=x^3
Horizontal left

14. What does the absolute value function look like?
A V
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI

15. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
The single number y=
Cannot be drawn in quizlet
Odd

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

17. What is the formula for an identity function?
2nd key - x^2 - graph
Even
Yes - all the domains points to one range
F(x) = x

18. Is the standard cubic function odd - even or neither?
X=a
Odd
Cannot be drawn in quizlet
Y=IxI

19. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Even
Parabola
X=a

20. What is another way of writing the absolute value function?
(-infinity - +infinity)
Y=IxI
The opposite coordinates
Undefined

21. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x)=IxI
Yes because two x's or domains can point to one y
The secant line

22. What are the four steps for solving a linear equation?
(-infinity - +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.
Horizontal right
F of g and g of f

23. What is the domain for the standard cubic function?
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Equation of a line

24. What type of line is a constant function?
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)
Horizontal
Negative inverse

25. What is the formula for an absolute value function?
Undefined
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined
F(x)=IxI

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
1 -2 -3
Because the demintor of a quotient can never equal zero

27. standard absolute value - horizontal shift formulas for left and right
X=a
Y
X^2
F(x+c) and f(x-c)

28. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Parabola - up one and right three
0<c<1 - horizontal stretching

29. What is the vertical line formula?
Horizontal
45 degree angle
X=a
Yes because two x's or domains can point to one y

30. What is the range of the constant function?
X^2
Up
Horizontal
The single number y=

31. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Square Root
Horizontal left
In a quotient

32. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal
Square Root
(-infinity - 0]you[0 - +infinity)

33. What are the four steps for finding the inverse of a function?
Postiive slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola - up one and right three
(-infinity - +infinity)

34. What is another way to write f(x)=x - what type of function is this?
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
F(x)=IxI
Y=x - identity function
The minimum or maximum points

35. Is an absolute value function even - odd or neither?
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
Even
Odd
F(x)=3 square root x

36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
Y=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

37. What is the average rate of change formula?
Horizontal left
F(x2)-f(x1) / x2-x1
45 degree angle
(-infinity - +infinity)

38. When is the only time (-infinity - +infinity) is not the domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The minimum or maximum points
In a quotient
Neither

39. What is the vertex?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
Same
The minimum or maximum points

40. What is another way of writing the absolute value function?
(-infinity - +infinity)
Y=IxI
M
Because the demintor of a quotient can never equal zero

41. When is the only time (-infinity - +infinity) is not the domain?
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.
In a quotient
X^2
Line ascending to the right gradually

42. What is the vertical line test?
Cannot be drawn in quizlet
Undefined slope
(-infinity - +infinity)
When does a graph not define y as a function of x?

43. What is the range of an identity function?
X = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
(-infinity - +infinity)
Y=IxI

44. What can never equal zero in the slope formula and why?
Math 4 x - graph
Y=IxI
Y=10
X2-x1 because the demonaitor of a quotient can never equal zero

45. What does the standard cubic function look like on a graph?
X math 3 graph
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. Is the standard cubic function odd - even or neither?
45 degree angle
Perpendicular line
(-infinity - +infinity)
Odd

47. 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
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
F(x+h)-f(x)/h h cannot equal zero

48. How many ranges can you have for each domain?
Parabola
45 degree angle
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
Only one

49. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Horizontal
Odd
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
Parraelle line

50. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero
A V