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 are two examples of composit functions?
F(x)=3 square root x
F of g and g of f
Identity
(-infinity - 0]you[0 - +infinity)

2. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
1 -2 -3
Undefined
Y=10

3. 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
Conditional
Even
In a quotient

4. When is the only time (-infinity - +infinity) is not the domain?
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
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
In a quotient

5. 4x+5x=8x is what type of an equation?
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
(-infinity - +infinity)
F(x)=suare root of x
Conditional

6. $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?
Horizontal left
Line ascending to the right gradually
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
Piecewise

7. 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?
Same
F(x)=x^3
X is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points

8. What is another way of writing the absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Inconsitent
(-infinity - +infinity)
Y=IxI

9. What is the range of a square root function?
Mirror image neg quadrant to that of the positive quandrant
Identity
[0 -+infinity)
F(x)=x^3

10. In an identity function if f(10)=x than What is y?
As equations
F(x)=IxI
The second set of components of an ordered pair
Y=10

11. What type of slope do vertical lines have?
Y=b
Undefined slope
Undefined
X is the hours to repair the boat. $1603-532=anwser/63 = x

12. standard absolute value - vertical shift formulas for positve and negative
45 degree angle
(-infinity - +infinity)
F(x)=+c and f(x)-c
Up

13. What are the calculator instructions for the standard cubic function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
X math 3 graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

14. Draw or discuss a decreasing function
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
Y=x - identity function

15. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
F(x2)-f(x1) / x2-x1
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
Inconsistant

16. What type of line is a constant function?
[0 -+infinity)
Horizontal
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x

17. What is the domain for a standard quadratic function?
Function notation
(-infinity - +infinity)
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.
The second set of components of an ordered pair

18. What is the range for an absolute value function?
Neither
(-infinity - +infinity)
Square Root
(-infinity - 0]you[0 - +infinity)

19. What are the calculator instructions for a standard quadratic equation?
F(x) = x
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

20. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Odd
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
Zero slope

21. What is the formula for an identity function?
Conditional
F(x) = x
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph

22. What are the four steps for finding the inverse of a function?
Math 4 x - graph
The slope of a line containing two points
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. What is a constant function?
F(x^1)=f(x^2)
The minimum or maximum points
20+.05x=5+.10x x=minutes
Inconsistant

24. What type of line is a constant function?
0<c<1 - horizontal stretching
Zero slope
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.
Horizontal

25. Is an identity function even - odd or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Perpendicular line
Odd
Same

26. What is the horizontal line formula?
The second set of components of an ordered pair
Y=b
Inconsistant
The slope of a line containing two points

27. Which direction does f(x+c) move
Same
Odd
Horizontal left
2nd key - x^2 - graph

28. 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.
(-infinity - 0]you[0 - +infinity)
F(x) = x
Parabola - up one and right three

29. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. What does the standard cubic function look like on a graph?
Horizontal left
Mirror image neg quadrant to that of the positive quandrant
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes

31. How are functions normally written?
Down
As equations
F of g and g of f
Even

32. What are the four steps for solving a linear equation?
The opposite coordinates
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.
In a quotient
Even

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
Down
Horizontal left

34. Why can h not equal zero in the difference of a quotient function formula?
X=a
Because the demintor of a quotient can never equal zero
Equation of a line
Any set of ordered pairs

35. What type of slope do you have when a line falls left to right and m<0?
(-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
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

36. What type of slope do horizontal lines have?
Function notation
Cannot be drawn in quizlet
Only one
Same

37. What is the standard quadratic function?
Parabola
X^2
Neither
4 -6 -9

38. What is the slope intercept formula? Define all the variables.
The first set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola
Negative slope

39. What is the range for a standard quadratic function?
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph

40. Is the square root function odd - even or neither?
(-infinity - +infinity)
Neither
Same
Inconsistant

41. What type of slope do you have when the line is horizontal and m=0?
Y= then enter the number then press graph
A V
Zero slope
(-infinity - +infinity)

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
4 -6 -9
When does a graph not define y as a function of x?
F of g and g of f

43. What type of slope do you have when a line falls left to right and m<0?
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph

44. What is the letter used to represent slope?
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
Conditional
M

45. What are the algebra of functions?
X=a
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(f+g) - (f-g) - (fg) - (f/g) all of x

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
In a quotient
No because you cannot have one domain pointing at two y's or ranges
The secant line
Cannot be drawn in quizlet

47. What is the vertical line formula?
Yes because two x's or domains can point to one y
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range
X=a

48. What is a function?
Y=x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=3 square root x
Cannot be drawn in quizlet

49. How many ranges can you have for each domain?
F(x)=suare root of x
(-infinity - +infinity)
Only one
2nd catalog (zero key -) abs(x) - graph

50. Is a constant function even - odd or neither?
Even
F(x) = x
As many as you like
Down