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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 a constant function?
Only one
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)

2. x= a real number is what type of equation?
Math 4 x - graph
Conditional
Square Root
Absolute Value - Constant and Standard Quadratic

3. What are the steps for solving a word problem?
Down
Y= then enter the number then press graph
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
45 degree angle

4. Draw or discuss a constant function
As equations
Negative slope
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

5. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
X^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

6. x=no real numbers is what type of an equation?
Yes because two x's or domains can point to one y
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant
A line passing through two distinct points

7. Which direction does f(x-c) move
Function notation
Horizontal right
F(x) = x
Undefined

8. What does the absolute value function look like?
F of g and g of f
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V

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

10. Which direction does f(x-c) move
(-infinity - +infinity)
Parabola - up one and right three
Horizontal right
Parraelle line

11. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Undefined
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x

12. When is the only time (-infinity - +infinity) is not the domain?
F(x^1)=f(x^2)
In a quotient
As equations
As many as you like

13. What is the formula for an absolute value function?
4 -6 -9
F(x)=IxI
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
X math 3 graph

14. What are the calculator instructions for the cube root function?
Any set of ordered pairs
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.
Math 4 x - graph
Horizontal

15. Which direction does f(x)=+c move in standard absolute value formula?
Even
Up
Y=b
Any set of ordered pairs

16. Is an absolute value function even - odd or neither?
45 degree angle
Even
(-infinity - +infinity)
Inconsistant

17. What is the slope intercept formula? Define all the variables.
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

18. Of the seven of algebra's common graph's how many are neither?
4 -6 -9
Y
Square Root
No because you cannot have one domain pointing at two y's or ranges

19. Is the standard cubic function odd - even or neither?
Odd
Postiive slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph

20. x= a real number is what type of equation?
Y=x^2 - graph
Yes because two x's or domains can point to one y
The second set of components of an ordered pair
Conditional

21. What is the point slope formula and when do you use it?
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
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.

22. What is a constant function?
As equations
Cannot be drawn in quizlet
F(x^1)=f(x^2)
Even

23. 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.
45 degree angle
Y
Odd

24. What is an identity function?
F(x2)-f(x1) / x2-x1
Inconsistant
Math 4 x - graph
45 degree angle

25. Draw or discuss a constant function
Cannot be drawn in quizlet
F(x) = x
(-infinity - +infinity)
(-infinity - +infinity)

26. What is a range?
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair

27. What type of slope do you have when m=? and the line is vertical?
Undefined slope
In a quotient
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

28. What equation does every line have? Discuss the variables.
X^2
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.
The first set of components of an ordered pair
Function notation

29. What is the formula for the standard cubic function?
F(x)=x^3
Undefined slope
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

30. 4x+5x=8x is what type of an equation?
Conditional
Parabola
Parabola
(-infinity - +infinity)

31. 4x+5x=8x is what type of an equation?
(-infinity - 0]you[0 - +infinity)
1 -2 -3
Conditional
The second set of components of an ordered pair

32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
(-infinity - +infinity)

33. What is the domain of a square root function?
Y
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually

34. What does linear equation mean?
Equation of a line
Function notation
Neither
Conditional

35. What is a relation?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)

36. What is the domain of an identity function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Identity
A line passing through two distinct points

37. What is the vertical line formula?
X=a
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.
Piecewise
Postiive slope

38. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
F(x)=IxI
Y

39. What is the range of the cube root function?
Conditional
(-infinity - +infinity)
The opposite coordinates
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. What type of slope do you have when the line is horizontal and m=0?
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
Neither
F(x)=3 square root x
Zero slope

41. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
Even
Postiive slope
Y

42. What type of slope do vertical lines have?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Undefined
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. Of the seven of algebra's common graph's how many are neither?
Square Root
C>1 - horizontal shrinking
45 degree angle
Undefined slope

44. What is the standard quadratic function?
The opposite coordinates
X^2
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)

45. What is the slope of a perpendicular line?
Negative inverse
4 -6 -9
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. What type of slope do vertical lines have?
Undefined
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

47. x=all real numbers is what type of an equation?
The first set of components of an ordered pair
(-infinity - +infinity)
Equation of a line
Identity

48. What type of line is an identity function?
Identity
In a quotient
Cannot be drawn in quizlet
45 degree angle

49. What is the range of a square root function?
[0 -+infinity)
Down
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

50. Which direction does f(x+c) move
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right
Y=x^2 - graph
Horizontal left