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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 type of slope do vertical lines have?
Undefined
The slope of a line containing two points
(-infinity - +infinity)
Negative inverse

2. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Up

3. What does linear equation mean?
Equation of a line
Square Root
Parabola
F(x^1)=f(x^2)

4. What is the slope intercept formula? Define all the variables.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined
F(x+c) and f(x-c)

5. What type of line is an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
F(x)=IxI
Odd

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Math 4 x - graph
(-infinity - +infinity)

7. Is a standard quadratic function even - odd or neither?
F(x+c) and f(x-c)
Because the demintor of a quotient can never equal zero
Negative slope
Even

8. What is the formula for an identity function?
Negative slope
4 -6 -9
F(x) = x
Perpendicular line

9. How many ranges can you have for each domain?
A V
45 degree angle
Only one
Math 4 x - graph

10. What is the standard quadratic function?
Identity
The slope of a line containing two points
Odd
X^2

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

12. What are the calculator instructions for the standard cubic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line
X math 3 graph
Line ascending to the right gradually

13. Is a constant function even - odd or neither?
The opposite coordinates
Even
(-infinity - +infinity)
The secant line

14. y=f(cx) - What does this formula represent?
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
Same
Undefined slope
C>1 - horizontal shrinking

15. x=all real numbers is what type of an equation?
F(x)=suare root of x
45 degree angle
Even
Identity

16. What is the domain for a standard quadratic function?
(-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
F(x2)-f(x1) / x2-x1
Even

17. What is the domain for a standard quadratic function?
F(x)=IxI
F(x2)-f(x1) / x2-x1
Horizontal
(-infinity - +infinity)

18. How many domains can you have pointing to one range?
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.
F(x+c) and f(x-c)
Parabola

19. y=f(cx) What does this formula represent?
(-infinity - +infinity)
F(x)=x^3
Math 4 x - graph
0<c<1 - horizontal stretching

20. What is the standard quadratic function?
X = the original sale price and the formula is x - .40x =$276
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2

21. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Horizontal
Odd
Zero slope

22. What is the formula for the square root function?
F(x)=suare root of x
The secant line
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.
Three odd - cube root - identity - standard cubic

23. What are the calculator instructions for the cube root function?
Horizontal
Only one
Math 4 x - graph
Even

24. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
No because you cannot have one domain pointing at two y's or ranges
Odd
F(x)=x^3

25. A flat line underlining one vertical line is a symbol for...
Neither
Parabola - up one and right three
(-infinity - +infinity)
Perpendicular line

26. What are the algebra of functions?
Inconsitent
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
Zero slope

27. What is the domain and range of a constant function?
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
C>1 - horizontal shrinking

28. Is the square root function odd - even or neither?
(-infinity - +infinity)
Neither
Inconsitent
Because the demintor of a quotient can never equal zero

29. What is the vertical line formula?
Function notation
(-infinity - +infinity)
X=a
Odd

30. How would this formula move f(x)=(x+1)^2-3
Same
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola - up one and right three
Odd

31. What is the formula in both horizontal stretching and horizontal shrinking?
4 -6 -9
Y=IxI
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. How are functions normally written?
As equations
Same
Horizontal
F(x+c) and f(x-c)

33. What can we substitute for f(x)?
Perpendicular line
The slope of a line containing two points
The secant line
Y

34. What is the domain for an absolute value function?
Horizontal
F(x+c) and f(x-c)
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.
(-infinity - +infinity)

35. What is a range?
The second set of components of an ordered pair
(-infinity - +infinity)
Y=b
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.

36. Which direction does f(x+c) move
When does a graph not define y as a function of x?
Horizontal left
The second set of components of an ordered pair
Identity

37. What is a relation?
Any set of ordered pairs
Conditional
F(x)=+c and f(x)-c
When does a graph not define y as a function of x?

38. Of the seven of algebra's common graph's how many are even?
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
X math 3 graph

39. Is an identity function even - odd or neither?
In a quotient
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
(-infinity - +infinity)

40. What is the range for an absolute value function?
F of g and g of f
Set the x and y to zero and get the intercepts and then plot the points
Parabola - up one and right three
(-infinity - 0]you[0 - +infinity)

41. How do you calculate a constant function in your calculator?
(-infinity - 0]you[0 - +infinity)
1 -2 -3
M
Y= then enter the number then press graph

42. What is the range of a square root function?
[0 -+infinity)
Horizontal
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.
Down

43. What is the formula for an absolute value function?
45 degree angle
F(x)=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X = the original sale price and the formula is x - .40x =$276

44. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Up
X^2
In a quotient

45. Is the standard cubic function odd - even or neither?
Parraelle line
Down
Odd
As many as you like

46. What does linear equation mean?
Equation of a line
The secant line
Parraelle line
(-infinity - +infinity)

47. What is the formula for the standard cubic function?
F(x)=x^3
Undefined slope
Line ascending to the right gradually
4 -6 -9

48. What is the domain of an identity function?
F(x)=+c and f(x)-c
Odd
(-infinity - +infinity)
The single number y=

49. Which direction does f(x-c) move
X^2
Parabola - up one and right three
Horizontal right
0<c<1 - horizontal stretching

50. f(x) = x^2+3x+5 - what type of formula is this?
Parabola - up one and right three
Function notation
Only one
C>1 - horizontal shrinking