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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. How are functions normally written?
As equations
F(x+c) and f(x-c)
Up
Identity

2. What is the point slope formula and when do you use it?
X2-x1 because the demonaitor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x^2 - graph
(-infinity - +infinity)

3. What type of slope do you have when the line is horizontal and m=0?
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
Zero slope
2nd key - x^2 - graph

4. Draw or discuss a decreasing function
Any set of ordered pairs
Cannot be drawn in quizlet
45 degree angle
Negative inverse

5. What is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
45 degree angle
Odd

6. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Down
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points

7. What does the square root function look like on a graph?
The slope of a line containing two points
Line ascending to the right gradually
Cannot be drawn in quizlet
Equation of a line

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Yes because two x's or domains can point to one y

9. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Y=x - identity function
Y
Parraelle line

10. 4x+5x=8x is what type of an equation?
Conditional
Parabola
The minimum or maximum points
In a quotient

11. What is the domain of a square root function?
Y=x - identity function
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line

12. What is the vertical line test?
Function notation
When does a graph not define y as a function of x?
X^2
1 -2 -3

13. What type of slope do you have when the line is horizontal and m=0?
Three odd - cube root - identity - standard cubic
Zero slope
The single number y=
Y=x - identity function

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

15. What is the vertex?
Yes - all the domains points to one range
The minimum or maximum points
Y=x^2 - graph
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

16. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Perpendicular line
Even
Y=b

17. In an identity function if f(10)=x than What is y?
Undefined slope
Y=10
F(x)=3 square root x
The opposite coordinates

18. How do you calculate a constant function in your calculator?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y= then enter the number then press graph
C>1 - horizontal shrinking
Y

19. What is the range of a square root function?
2nd catalog (zero key -) abs(x) - graph
Y=IxI
Cannot be drawn in quizlet
[0 -+infinity)

20. What is a relation?
Horizontal
As many as you like
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.
Any set of ordered pairs

21. Is a constant function even - odd or neither?
Even
Y=x - identity function
F(x) = x
0<c<1 - horizontal stretching

22. standard absolute value - vertical shift formulas for positve and negative
No because you cannot have one domain pointing at two y's or ranges
F(x)=+c and f(x)-c
2nd key - x^2 - graph
In a quotient

23. What is a range?
The single number y=
The second set of components of an ordered pair
Conditional
As many as you like

24. 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 is the hours to repair the boat. $1603-532=anwser/63 = x
Perpendicular line
(-infinity - +infinity)
1 -2 -3

25. Is an identity function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
Odd
F(x^1)=f(x^2)
Undefined slope

26. f(x) = x^2+3x+5 - what type of formula is this?
0<c<1 - horizontal stretching
Parraelle line
(-infinity - +infinity)
Function notation

27. What is a function?
Y
Even
Parabola - up one and right three
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes because two x's or domains can point to one y
4 -6 -9
Even

29. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
The second set of components of an ordered pair
(-infinity - +infinity)
Line ascending to the right gradually

30. What is a domain?
Y=b
The first set of components of an ordered pair
Yes because two x's or domains can point to one y
Parabola - up one and right three

31. What type of slope do vertical lines have?
Perpendicular line
Same
F(x+h)-f(x)/h h cannot equal zero
Undefined

32. What is the formula for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined slope
(-infinity - 0]you[0 - +infinity)
F(x)=IxI

33. What are the four steps for solving a linear equation?
Yes - all the domains points to one range
Zero slope
No because you cannot have one domain pointing at two y's or ranges
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.

34. What is the formula for the standard cubic function?
F(x)=x^3
Postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle

35. What are the calculator instructions for absolute value?
Odd
2nd catalog (zero key -) abs(x) - graph
The secant line
The slope of a line containing two points

36. What is slope?
A line passing through two distinct points
The first set of components of an ordered pair
X=a
Y=10

37. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
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.
A V
X = the original sale price and the formula is x - .40x =$276
Horizontal right

38. Is an absolute value function even - odd or neither?
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero
Even

39. Is a constant function even - odd or neither?
Even
Square Root
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

40. What type of slope do vertical lines have?
Line ascending to the right gradually
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant
Undefined

41. What are the calculator instructions for the cube root function?
The second set of components of an ordered pair
Math 4 x - graph
In a quotient
Cannot be drawn in quizlet

42. What is the range of the constant function?
Cannot be drawn in quizlet
The single number y=
(-infinity - +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 the domain for a standard quadratic 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
F(x)=suare root of x
(-infinity - +infinity)
Conditional

44. What is the formula for to calculate the difference of a quotient function?
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
4 -6 -9
Perpendicular line

45. Of the seven of algebra's common graph's how many are neither?
Square Root
Y=b
The second set of components of an ordered pair
As equations

46. What is the domain of the cube root function?
Because the demintor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
Negative inverse
(-infinity - +infinity)

47. What is the formula for an identity function?
Perpendicular line
F(x) = x
[0 -+infinity)
Even

48. What type of line is a constant function?
Horizontal
F(x)=+c and f(x)-c
Y=x - identity function
Undefined slope

49. What is the domain of a square root function?
Negative inverse
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Neither

50. What direction does f(x)-c move in standard absolute value formula?
Equation of a line
The first set of components of an ordered pair
Down
Identity