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. Is the square root function odd - even or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
Negative slope
Neither

2. What is the domain of a square root function?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Piecewise

3. What is the formula for the standard cubic function?
As equations
Cannot be drawn in quizlet
F(x)=x^3
F(x)=3 square root x

4. 4x+5x=8x is what type of an equation?
Conditional
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
45 degree angle

5. Draw or discuss a decreasing function
[0 -+infinity)
Only one
Cannot be drawn in quizlet
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

6. 4(x-7)=4x+28 is what type of an equation?
The single number y=
Inconsitent
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. What is the domain for a standard quadratic function?
2nd key - x^2 - graph
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
M

8. 4(x-7)=4x-28 is what type of an equation?
A line passing through two distinct points
Math 4 x - graph
Identity
F of g and g of f

9. What is the formula for slope?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same

10. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
As many as you like
Line ascending to the right gradually
Function notation

11. What are the four steps for finding the inverse of a function?
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
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

12. Which direction does f(x-c) move
Cannot be drawn in quizlet
Only one
Neither
Horizontal right

13. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
Function notation
Even
1 -2 -3

14. What does the average rate of change formula solve?
Y=x^2 - graph
The secant line
The slope of a line containing two points
Even

15. What is the range for a standard quadratic function?
Negative slope
Negative inverse
The secant line
(-infinity - 0]you[0 - +infinity)

16. What is the domain and range of a constant function?
Y=x - identity function
(-infinity - +infinity)
The opposite coordinates
Absolute Value - Constant and Standard Quadratic

17. What type of slope do you have when m=? and the line is vertical?
The secant line
Undefined slope
Y=x - identity function
As equations

18. What equation does every line have? Discuss the variables.
Math 4 x - graph
When does a graph not define y as a function of x?
F(x)=x^3
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.

19. What is the formula for the square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
F(x)=suare root of x
A V

20. What is the formula for the standard cubic function?
A line passing through two distinct points
Zero slope
Yes because two x's or domains can point to one y
F(x)=x^3

21. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
Cannot be drawn in quizlet

22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Square Root
Even
Mirror image neg quadrant to that of the positive quandrant

23. What points do you use to plot the inverse on a graph?
X=a
The opposite coordinates
4 -6 -9
(-infinity - +infinity)

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

25. What type of function would you use to calculate the most advantageous cell phone plan?
Odd
Piecewise
A line passing through two distinct points
The single number y=

26. What are the calculator instructions for a standard quadratic equation?
Cannot be drawn in quizlet
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.
Y=x^2 - graph

27. What does the square root function look like on a graph?
Line ascending to the right gradually
Piecewise
The single number y=
Identity

28. What is the formula for to calculate the difference of a quotient function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph
F(x+h)-f(x)/h h cannot equal zero

29. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function

30. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
Piecewise
Even
Horizontal

31. What is a domain?
The first set of components of an ordered pair
X^2
Down
Y=IxI

32. What are the calculator instructions for the cube root function?
Neither
(f+g) - (f-g) - (fg) - (f/g) all of x
Y= then enter the number then press graph
Math 4 x - graph

33. f(x) = x^2+3x+5 - what type of formula is this?
The single number y=
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes

34. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph

35. What equation does every line have? Discuss the variables.
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.
Function notation
Same
The first set of components of an ordered pair

36. What is the range for the standard cubic function?
(-infinity - +infinity)
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line

37. What is the formula for the square root function?
F(x)=x^3
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=suare root of x
Y=10

38. What is the domain for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=+c and f(x)-c
(-infinity - +infinity)
A line passing through two distinct points

39. What is the letter used to represent slope?
X = the original sale price and the formula is x - .40x =$276
X math 3 graph
Odd
M

40. In an identity function if f(10)=x than What is y?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
[0 -+infinity)
Undefined slope

41. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=x^2 - graph
Y
Line ascending to the right gradually

42. 4(x-7)=4x-28 is what type of an equation?
In a quotient
Even
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.
Identity

43. Is an identity function even - odd or neither?
Identity
Three odd - cube root - identity - standard cubic
Parabola - up one and right three
Odd

44. What are the algebra of functions?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

45. What is the domain of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x

46. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Even
Parabola - up one and right three
1 -2 -3

47. y=f(cx) What does this formula represent?
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
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.
0<c<1 - horizontal stretching

48. What is the range of a square root function?
1 -2 -3
X^2
Even
[0 -+infinity)

49. What are the calculator instructions for a standard quadratic equation?
Up
Conditional
Y=x^2 - graph
Yes because two x's or domains can point to one y

50. What can we substitute for f(x)?
2nd key - x^2 - graph
Y
Equation of a line
(-infinity - +infinity)