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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 shape is the standard quadratic function?
The opposite coordinates
Parabola
The first set of components of an ordered pair
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

2. What type of slope do you have when a line falls left to right and m<0?
Conditional
Negative slope
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

3. standard absolute value - horizontal shift formulas for left and right
Same
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)

4. What is the domain of a square root function?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1

5. What are the four steps for solving a linear equation?
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.
Parabola - up one and right three
2nd catalog (zero key -) abs(x) - graph
Conditional

6. What is the vertex?
Perpendicular line
45 degree angle
Yes - all the domains points to one range
The minimum or maximum points

7. How many ranges can you have for each domain?
Only one
X2-x1 because the demonaitor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points

8. standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant
Even

9. What is the domain for the standard cubic function?
The second set of components of an ordered pair
(-infinity - +infinity)
Y
Inconsitent

10. What direction does f(x)-c move in standard absolute value formula?
Neither
Down
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

11. What is the range of the cube root function?
F(x^1)=f(x^2)
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
X^2

12. What are two examples of composit functions?
F(x)=+c and f(x)-c
F of g and g of f
X = the original sale price and the formula is x - .40x =$276
F(x)=suare root of x

13. What are the steps for solving a word problem?
The second set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
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

14. Which direction does f(x-c) move
Parabola - up one and right three
Horizontal right
The secant line
(-infinity - 0]you[0 - +infinity)

15. What is the vertical line test?
No because you cannot have one domain pointing at two y's or ranges
F(x)=x^3
When does a graph not define y as a function of x?
Y=IxI

16. What is the formula for the cube root 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=3 square root x
The secant line

17. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
C>1 - horizontal shrinking
Y=x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero

18. What is another way to write f(x)=x - what type of function is this?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
Y=x - identity function

19. What does the standard cubic function look like on a graph?
Even
45 degree angle
Horizontal left
Mirror image neg quadrant to that of the positive quandrant

20. What is the range of the cube root function?
(-infinity - +infinity)
Parabola
Cannot be drawn in quizlet
F(x)=suare root of x

21. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Piecewise
F(x)=x^3
Conditional

22. x=no real numbers is what type of an equation?
Zero slope
C>1 - horizontal shrinking
Inconsistant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Cannot be drawn in quizlet
Y= then enter the number then press graph
Yes - all the domains points to one range

24. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
Negative slope

25. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Because the demintor of a quotient can never equal zero
Even
Horizontal right

26. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=3 square root x
Function notation
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points

27. How would this formula move f(x)=(x+1)^2-3
(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
Same
(-infinity - +infinity)

28. 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
Yes because two x's or domains can point to one y
Set the x and y to zero and get the intercepts and then plot the points
Undefined

29. What is the formula for slope?
20+.05x=5+.10x x=minutes
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10

30. What shape is the standard quadratic function?
Horizontal right
(-infinity - +infinity)
Parabola
Mirror image neg quadrant to that of the positive quandrant

31. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero

32. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
(-infinity - +infinity)
Yes because two x's or domains can point to one y

33. 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.
Absolute Value - Constant and Standard Quadratic
In a quotient
Even

34. What is the domain for the standard cubic function?
(-infinity - +infinity)
Cannot be drawn in quizlet
M
Square Root

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line
Y
1 -2 -3

36. What is the vertical line formula?
X^2
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10
X=a

37. What are two examples of composit functions?
Postiive slope
X=a
Equation of a line
F of g and g of f

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parraelle line
Parabola
Y=x - identity function
20+.05x=5+.10x x=minutes

39. What is the slope of a perpendicular line?
Negative inverse
F(x)=+c and f(x)-c
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

40. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
[0 -+infinity)
(-infinity - +infinity)

41. What is the average rate of change formula?
Any set of ordered pairs
F(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
Y=x^2 - graph

42. Is an identity function even - odd or neither?
Inconsistant
Odd
Function notation
(-infinity - 0]you[0 - +infinity)

43. What can never equal zero in the slope formula and why?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
Y
X2-x1 because the demonaitor of a quotient can never equal zero

44. What is the range of an identity function?
(-infinity - 0]you[0 - +infinity)
A V
Horizontal right
(-infinity - +infinity)

45. standard absolute value - horizontal shift formulas for left and right
The second set of components of an ordered pair
F(x+c) and f(x-c)
Undefined
F(x) = x

46. What is the point slope formula and when do you use it?
Piecewise
Negative slope
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

47. What is the range for the standard cubic function?
The secant line
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
X is the hours to repair the boat. $1603-532=anwser/63 = x

48. What is the standard quadratic function?
X^2
The first set of components of an ordered pair
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

49. In an identity function if f(10)=x than What is y?
F of g and g of f
Conditional
F(x+c) and f(x-c)
Y=10

50. x= a real number is what type of equation?
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
Conditional
Y=x - identity function