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. Which direction does f(x-c) move
Even
The slope of a line containing two points
Horizontal right
Identity

2. What is the range of a square root function?
When does a graph not define y as a function of x?
Horizontal
(-infinity - +infinity)
[0 -+infinity)

3. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x2)-f(x1) / x2-x1
The opposite coordinates
(-infinity - +infinity)

4. standard absolute value - horizontal shift formulas for left and right
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. 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?
(-infinity - +infinity)
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

6. In an identity function if f(10)=x than What is y?
Identity
M
Cannot be drawn in quizlet
Y=10

7. What is the vertical line test?
When does a graph not define y as a function of x?
Y= then enter the number then press graph
M
No because you cannot have one domain pointing at two y's or ranges

8. Is a standard quadratic function even - odd or neither?
Inconsistant
Even
Y=10
The secant line

9. 4x+5x=8x is what type of an equation?
Conditional
Parabola - up one and right three
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

10. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
F(x)=IxI
Odd

11. Why can h not equal zero in the difference of a quotient function formula?
M
Y
Because the demintor of a quotient can never equal zero
45 degree angle

12. What is the domain for a standard quadratic function?
The opposite coordinates
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Even

13. Is the square root function odd - even or neither?
Neither
X^2
F(x) = x
Approach neg toward x through zero and above positive close to x

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

15. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
F(x)=x^3
Function notation
A V

16. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x) = x
Negative slope
Yes because two x's or domains can point to one y

17. Is the standard cubic function odd - even or neither?
Conditional
X=a
Cannot be drawn in quizlet
Odd

18. 4(x-7)=4x-28 is what type of an equation?
Identity
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
Even
No because you cannot have one domain pointing at two y's or ranges

19. What is the range for the standard cubic function?
(-infinity - +infinity)
Any set of ordered pairs
F(x2)-f(x1) / x2-x1
As many as you like

20. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges
X2-x1 because the demonaitor of a quotient can never equal zero

21. What is a constant function?
Same
(-infinity - +infinity)
F(x^1)=f(x^2)
Odd

22. What are the steps for solving a word problem?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
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
The second set of components of an ordered pair

23. What is the domain for the standard cubic function?
Perpendicular line
Inconsitent
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

24. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

25. What is the formula for slope?
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1
X^2
Down

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

27. What type of line is a constant function?
Inconsistant
(-infinity - +infinity)
Same
Horizontal

28. How many ranges can you have for each domain?
Function notation
0<c<1 - horizontal stretching
Only one
X math 3 graph

29. What is the slope intercept formula? Define all the variables.
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
X math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. How would this formula move f(x)=(x+1)^2-3
Y= then enter the number then press graph
Parabola - up one and right three
F(x^1)=f(x^2)
F(x+c) and f(x-c)

31. What is the vertical line test?
Even
Conditional
When does a graph not define y as a function of x?
Function notation

32. How many domains can you have pointing to one range?
Even
(-infinity - +infinity)
F of g and g of f
As many as you like

33. How would this formula move f(x)=(x+1)^2-3
Y=b
Parabola - up one and right three
Undefined
F(x2)-f(x1) / x2-x1

34. What is the range of a square root function?
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
The single number y=
[0 -+infinity)
The single number y=

35. What are the steps for solving a word problem?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=3 square root x
The minimum or maximum points
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

36. What does the standard cubic function look like on a graph?
A line passing through two distinct points
20+.05x=5+.10x x=minutes
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant

37. What is the formula for the standard cubic function?
Y=x^2 - graph
F(x)=x^3
F(x)=IxI
Cannot be drawn in quizlet

38. What are the algebra of functions?
Neither
Zero slope
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is the range of the constant function?
Horizontal left
X2-x1 because the demonaitor of a quotient can never equal zero
The single number y=
F(x)=suare root of x

40. What direction does f(x)-c move in standard absolute value formula?
Same
No because you cannot have one domain pointing at two y's or ranges
Down
The single number y=

41. What type of slope do horizontal lines have?
Same
When does a graph not define y as a function of x?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations

42. Why can h not equal zero in the difference of a quotient function formula?
Math 4 x - graph
Horizontal
Because the demintor of a quotient can never equal zero
Y=x - identity function

43. What are two examples of composit functions?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
F of g and g of f

44. What is the formula for the standard cubic function?
Conditional
Square Root
Absolute Value - Constant and Standard Quadratic
F(x)=x^3

45. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Postiive slope
As many as you like
Same

46. A flat line underlining one vertical line is a symbol for...
Absolute Value - Constant and Standard Quadratic
F(x2)-f(x1) / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line

47. What does linear equation mean?
Equation of a line
Horizontal
Horizontal right
(-infinity - +infinity)

48. When is the only time (-infinity - +infinity) is not the domain?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1
In a quotient
(-infinity - +infinity)

49. 4(x-7)=4x+28 is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+c) and f(x-c)
Inconsitent
The minimum or maximum points

50. What type of slope do you have when m=? and the line is vertical?
Even
Because the demintor of a quotient can never equal zero
The slope of a line containing two points
Undefined slope