Test your basic knowledge |

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 does linear equation mean?
Odd
Equation of a line
Yes because two x's or domains can point to one y
Function notation

2. Which direction does f(x-c) move
M
Horizontal right
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

3. What is the range of a square root function?
Parraelle line
[0 -+infinity)
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.
Conditional

4. What is a function?
Mirror image neg quadrant to that of the positive quandrant
Identity
Piecewise
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
Even
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Horizontal left

6. What does linear equation mean?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
Equation of a line

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

8. What can never equal zero in the slope formula and why?
Approach neg toward x through zero and above positive close to x
Parabola
X2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y

9. What is a constant function?
F(x^1)=f(x^2)
Yes - all the domains points to one range
The minimum or maximum points
The opposite coordinates

10. What are the algebra of functions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal
Function notation

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
As many as you like
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
[0 -+infinity)
F(x) = x

12. What is the formula for the standard cubic function?
Any set of ordered pairs
The opposite coordinates
(-infinity - +infinity)
F(x)=x^3

13. A flat line underlining one vertical line is a symbol for...
Perpendicular line
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
M

14. What is another way of writing the absolute value function?
Y=IxI
Odd
Y=x - identity function
Any set of ordered pairs

15. What is a range?
Function notation
M
The second set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

16. 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
1 -2 -3
No because you cannot have one domain pointing at two y's or ranges
Yes because two x's or domains can point to one y

17. What is the domain for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Negative inverse
Y=b

18. Draw or discuss an increasing function
F(x)=x^3
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.
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x

19. In an identity function if f(10)=x than What is y?
F(x+c) and f(x-c)
The slope of a line containing two points
1 -2 -3
Y=10

20. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
Parabola - up one and right three
[0 -+infinity)

21. What are the calculator instructions for the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph
Parabola

22. 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
F(x)=+c and f(x)-c
Cannot be drawn in quizlet
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

23. What is the formula for the square root function?
F(x)=suare root of x
F of g and g of f
F(x)=x^3
Even

24. Is a standard quadratic function even - odd or neither?
Equation of a line
As many as you like
[0 -+infinity)
Even

25. What direction does f(x)-c move in standard absolute value formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Down
(-infinity - +infinity)
Y= then enter the number then press graph

26. What is a relation?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Any set of ordered pairs
Y=x - identity function

27. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Even
Inconsitent
(-infinity - +infinity)

28. What is an identity function?
X=a
Zero slope
45 degree angle
Approach neg toward x through zero and above positive close to x

29. What is the domain of a square root function?
Y= then enter the number then press graph
Y=b
Only one
[0 -+infinity)

30. What type of slope do horizontal lines have?
X=a
F(x2)-f(x1) / x2-x1
Same
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

31. How many ranges can you have for each domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X math 3 graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one

32. What is the range of the constant function?
The slope of a line containing two points
The single number y=
C>1 - horizontal shrinking
F(x+c) and f(x-c)

33. What is the domain for the standard cubic function?
4 -6 -9
(-infinity - +infinity)
Postiive slope
2nd catalog (zero key -) abs(x) - graph

34. A flat line underlining one vertical line is a symbol for...
Y=IxI
A line passing through two distinct points
Perpendicular line
Negative inverse

35. When is the only time (-infinity - +infinity) is not the domain?
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X^2
In a quotient

36. What can we substitute for f(x)?
Yes because two x's or domains can point to one y
Y
As equations
No because you cannot have one domain pointing at two y's or ranges

37. Which direction does f(x+c) move
X=a
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
Horizontal left
0<c<1 - horizontal stretching

38. Which direction does f(x)=+c move in standard absolute value formula?
Up
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.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

39. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x)=x^3
F(x) = x
F(x2)-f(x1) / x2-x1

40. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

41. What are the calculator instructions for the standard cubic function?
Horizontal left
[0 -+infinity)
X math 3 graph
Identity

42. What is the formula for the square root function?
Conditional
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x)=suare root of x

43. What direction does f(x)-c move in standard absolute value formula?
Cannot be drawn in quizlet
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.
Three odd - cube root - identity - standard cubic
Down

44. What is the formula for an identity function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity
A line passing through two distinct points
F(x) = x

45. What is the range for an absolute value function?
Parraelle line
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)
[0 -+infinity)

46. What is the range of the cube root function?
Conditional
(-infinity - +infinity)
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

47. What is the range of the cube root function?
Horizontal left
Down
(-infinity - +infinity)
X^2

48. What is the range of an identity function?
(-infinity - +infinity)
Identity
Y=x^2 - graph
X^2

49. What are the four steps for solving a linear equation?
Y= then enter the number then press graph
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.
Y=10
Set the x and y to zero and get the intercepts and then plot the points

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
[0 -+infinity)
4 -6 -9
Inconsistant