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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Same
A line passing through two distinct points
Y=x - identity function

2. What is the domain for an absolute value function?
Inconsitent
Y=10
45 degree angle
(-infinity - +infinity)

3. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
The minimum or maximum points
Odd
Mirror image neg quadrant to that of the positive quandrant

4. What can never equal zero in the slope formula and why?
Conditional
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph

5. What can never equal zero in the slope formula and why?
Y=x^2 - graph
F(x2)-f(x1) / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X2-x1 because the demonaitor of a quotient can never equal zero

6. What are the steps for solving a word problem?
Cannot be drawn in quizlet
Conditional
Negative inverse
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

7. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
As equations
Line ascending to the right gradually
F(x+c) and f(x-c)

8. What can we substitute for f(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.
[0 -+infinity)
Y
Postiive slope

9. y=f(cx) - What does this formula represent?
A V
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking

10. y=f(cx) - What does this formula represent?
Inconsitent
(-infinity - +infinity)
C>1 - horizontal shrinking
Cannot be drawn in quizlet

11. x=all real numbers is what type of an equation?
0<c<1 - horizontal stretching
Identity
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero

12. 4(x-7)=4x+28 is what type of an equation?
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
Down
Inconsitent

13. What is the vertex?
Undefined slope
Zero slope
M
The minimum or maximum points

14. What is the vertex?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Postiive slope
The minimum or maximum points

15. A flat line underlining one vertical line is a symbol for...
In a quotient
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.
Perpendicular line
X2-x1 because the demonaitor of a quotient can never equal zero

16. What is the domain of a square root function?
2nd key - x^2 - graph
[0 -+infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

17. What is slope?
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
X^2
X^2

18. What is the letter used to represent slope?
M
(-infinity - 0]you[0 - +infinity)
X = the original sale price and the formula is x - .40x =$276
Same

19. Is the standard cubic function odd - even or neither?
Undefined
Negative slope
F(x2)-f(x1) / x2-x1
Odd

20. What is the formula for the cube root function?
Yes - all the domains points to one range
Up
4 -6 -9
F(x)=3 square root x

21. How would this formula move f(x)=(x+1)^2-3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20+.05x=5+.10x x=minutes
Parabola - up one and right three
(-infinity - +infinity)

22. What are the calculator instructions for absolute value?
A V
(-infinity - 0]you[0 - +infinity)
Perpendicular line
2nd catalog (zero key -) abs(x) - graph

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
45 degree angle
1 -2 -3
Perpendicular line
Equation of a line

24. Is a constant function even - odd or neither?
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
Yes because two x's or domains can point to one y
Even
(-infinity - 0]you[0 - +infinity)

25. How do you calculate a constant function in your calculator?
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph
A line passing through two distinct points
F(x2)-f(x1) / x2-x1

26. What type of line is an identity function?
Neither
45 degree angle
Y
2nd catalog (zero key -) abs(x) - graph

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
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(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1

28. In an identity function if f(10)=x than What is y?
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)=IxI
Y=10
2nd key - x^2 - graph

29. What is the range of the cube root function?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined slope
Y= then enter the number then press graph

30. What is the letter used to represent slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
M
[0 -+infinity)

31. What is the formula for an identity 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
X=a
F(x) = x
1 -2 -3

32. How do you graph Ax+By+C=0?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Y=x - identity function

33. What type of slope do you have when a line falls left to right and m<0?
Y=10
A V
(-infinity - 0]you[0 - +infinity)
Negative slope

34. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Math 4 x - graph
Line ascending to the right gradually
Inconsistant

35. What is the horizontal line formula?
Equation of a line
Perpendicular line
Y=b
Cannot be drawn in quizlet

36. What does the graph of the cube root function look like on the graph?
Inconsistant
4 -6 -9
Undefined
Approach neg toward x through zero and above positive close to x

37. What are two examples of composit functions?
45 degree angle
Cannot be drawn in quizlet
F of g and g of f
[0 -+infinity)

38. What is a range?
A line passing through two distinct points
The second set of components of an ordered pair
Any set of ordered pairs
Perpendicular line

39. What is the formula for the cube root function?
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x
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.

40. Two vertical lines side by side are a symbol for what
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant
Parraelle line
Conditional

41. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
Horizontal
C>1 - horizontal shrinking
F(x)=+c and f(x)-c

42. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Even
Conditional
Function notation

43. How are functions normally written?
X=a
As equations
45 degree angle
(-infinity - +infinity)

44. What is another way to write f(x)=x - what type of function is this?
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+g) - (f-g) - (fg) - (f/g) all of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function

45. What type of line is a constant function?
Piecewise
The opposite coordinates
Y=10
Horizontal

46. What is the domain of an identity function?
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)
F(x)=+c and f(x)-c
(-infinity - +infinity)

47. How many ranges can you have for each domain?
Only one
Up
As many as you like
Undefined

48. What is a function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
0<c<1 - horizontal stretching
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

49. What is a constant function?
F(x)=suare root of x
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
The slope of a line containing two points

50. What are the algebra of functions?
F(x2)-f(x1) / x2-x1
Function notation
C>1 - horizontal shrinking
(f+g) - (f-g) - (fg) - (f/g) all of x