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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 standard quadratic function?
X^2
Y=10
As equations
[0 -+infinity)

2. 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.
Postiive slope
Yes because two x's or domains can point to one y
Parabola - up one and right three

3. How many domains can you have pointing to one range?
M
F of g and g of f
(-infinity - +infinity)
As many as you like

4. What equation does every line have? Discuss the variables.
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)
The first set of components of an ordered pair
The opposite coordinates

5. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Y=b
Identity

6. What is the domain for the standard cubic function?
Identity
(-infinity - +infinity)
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. What is the letter used to represent slope?
M
Perpendicular line
The slope of a line containing two points
F(x2)-f(x1) / x2-x1

8. What is the slope intercept formula? Define all the variables.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
F(x)=suare root of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. Of the seven of algebra's common graph's how many are even?
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
X2-x1 because the demonaitor of a quotient can never equal zero
Odd

10. What is a constant 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
Because the demintor of a quotient can never equal zero
F(x^1)=f(x^2)
X2-x1 because the demonaitor of a quotient can never equal zero

11. What is the range of the cube root function?
When does a graph not define y as a function of x?
Y
F of g and g of f
(-infinity - +infinity)

12. How many ranges can you have for each domain?
Even
Only one
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 - 0]you[0 - +infinity)

13. $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?
F(x)=3 square root x
Undefined
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
Same

14. standard absolute value - horizontal shift formulas for left and right
The slope of a line containing two points
F(x+c) and f(x-c)
Identity
Perpendicular line

15. What is the formula for the square root function?
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Math 4 x - graph

16. What type of slope do you have when the line is horizontal and m=0?
Even
Zero slope
M
F(x)=x^3

17. What is another way to write f(x)=x - what type of function is this?
Function notation
(-infinity - +infinity)
Y=x - identity function
Even

18. x= a real number is what type of equation?
The opposite coordinates
Conditional
Horizontal left
Horizontal

19. Draw or discuss a decreasing function
Piecewise
Cannot be drawn in quizlet
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

20. What shape is the standard quadratic function?
Odd
Square Root
Y
Parabola

21. x= a real number is what type of equation?
X=a
F(x+c) and f(x-c)
1 -2 -3
Conditional

22. What is the formula for to calculate the difference of a quotient 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
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

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

24. What are the steps for solving a word problem?
Conditional
F(x+c) and f(x-c)
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
Three odd - cube root - identity - standard cubic

25. What type of slope do horizontal lines have?
F(x+h)-f(x)/h h cannot equal zero
Y
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.
Same

26. What is the domain of the cube root function?
Horizontal
Inconsitent
Y=10
(-infinity - +infinity)

27. What is the range of an identity function?
Horizontal right
(-infinity - +infinity)
Even
Even

28. What type of line is an identity function?
Negative inverse
45 degree angle
Undefined
Y=10

29. Is a constant function even - odd or neither?
(-infinity - +infinity)
Even
0<c<1 - horizontal stretching
Three odd - cube root - identity - standard cubic

30. What type of slope do you have when m=? and the line is vertical?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined slope
(-infinity - +infinity)
F(x)=suare root of x

31. A flat line underlining one vertical line is a symbol for...
(-infinity - 0]you[0 - +infinity)
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line

32. What is the slope of a perpendicular line?
0<c<1 - horizontal stretching
Conditional
Negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x

33. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
[0 -+infinity)
Inconsistant
The minimum or maximum points

34. What is an identity function?
(-infinity - +infinity)
45 degree angle
F(x)=IxI
Because the demintor of a quotient can never equal zero

35. What is the formula for an absolute value function?
Even
F(x^1)=f(x^2)
No because you cannot have one domain pointing at two y's or ranges
F(x)=IxI

36. Is an identity function even - odd or neither?
Any set of ordered pairs
(-infinity - +infinity)
Odd
Horizontal right

37. $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?
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
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
Odd
[0 -+infinity)

38. Of the seven of algebra's common graph's how many are odd?
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic

39. What are the calculator instructions for the standard cubic 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.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X math 3 graph
Horizontal left

40. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x^1)=f(x^2)
A line passing through two distinct points
F(x)=3 square root x

41. What is the formula for the square root function?
Horizontal right
F(x)=suare root of x
As equations
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

42. What is the range for an absolute value function?
The single number y=
F(x)=IxI
(-infinity - 0]you[0 - +infinity)
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

43. What is a range?
The opposite coordinates
Parabola
Horizontal right
The second set of components of an ordered pair

44. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276
Down
Piecewise

45. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Up
Postiive slope
As equations

46. What is the horizontal line formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic
Y=b
F(x)=3 square root x

47. What is the formula for slope?
(-infinity - +infinity)
X math 3 graph
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Identity

49. What is an identity function?
45 degree angle
Three odd - cube root - identity - standard cubic
Y=IxI
Neither

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F(x+c) and f(x-c)
Function notation
Math 4 x - graph