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 the algebra of functions?
M
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

2. What is an identity function?
45 degree angle
4 -6 -9
20+.05x=5+.10x x=minutes
Line ascending to the right gradually

3. What can never equal zero in the slope formula and why?
X=a
Horizontal left
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
2nd catalog (zero key -) abs(x) - graph
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V

5. What does the square root function look like on a graph?
The minimum or maximum points
Line ascending to the right gradually
Negative inverse
Three odd - cube root - identity - standard cubic

6. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
Negative slope

7. What are the calculator instructions for absolute value?
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.
2nd catalog (zero key -) abs(x) - graph
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What is the vertex?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points
(-infinity - +infinity)
[0 -+infinity)

9. What is the range of the cube root function?
Neither
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
M

10. x= a real number is what type of equation?
Yes because two x's or domains can point to one y
Conditional
Even
X=a

11. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X=a
(-infinity - +infinity)
Horizontal

12. What is the formula for slope?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What is the vertical line formula?
X=a
Piecewise
Horizontal
Line ascending to the right gradually

14. 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
Line ascending to the right gradually
Perpendicular 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

15. What is the vertical line test?
Y=IxI
Down
Same
When does a graph not define y as a function of x?

16. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Equation of a line
Y= then enter the number then press graph
Cannot be drawn in quizlet

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

18. What type of line is a constant function?
Horizontal
Identity
F(x+h)-f(x)/h h cannot equal zero
Inconsistant

19. What is the formula for an identity function?
F(x) = x
Perpendicular line
F(x2)-f(x1) / x2-x1
Parraelle line

20. What does the average rate of change formula solve?
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Same
The slope of a line containing two points

21. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph
Odd

22. $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?
Y=10
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
[0 -+infinity)

23. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Inconsitent
F(x)=3 square root x
20+.05x=5+.10x x=minutes
X^2

24. What is the formula for the cube root function?
F(x)=3 square root x
(-infinity - +infinity)
As equations
Horizontal

25. What is the domain of the cube root function?
(-infinity - +infinity)
C>1 - horizontal shrinking
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle

26. Is the standard cubic function odd - even or neither?
Neither
Odd
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

27. What are the calculator instructions for a square root function?
Even
2nd key - x^2 - graph
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.
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

28. What does the average rate of change formula solve?
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points
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.

29. Draw or discuss a decreasing function
Neither
As many as you like
Y=x - identity function
Cannot be drawn in quizlet

30. 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?
Set the x and y to zero and get the intercepts and then plot the points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

32. What type of slope do horizontal lines have?
Conditional
Same
Postiive slope
(-infinity - +infinity)

33. What is the slope of a perpendicular line?
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero
Y=b
When does a graph not define y as a function of x?

34. What is the domain and range of a constant function?
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Zero slope

35. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Odd
Set the x and y to zero and get the intercepts and then plot the points
Y

36. Is an absolute value function even - odd or neither?
Function notation
Perpendicular line
Approach neg toward x through zero and above positive close to x
Even

37. What are the calculator instructions for the standard cubic function?
Even
X math 3 graph
Piecewise
The opposite coordinates

38. What is the formula for the square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=suare root of x

39. x=no real numbers is what type of an equation?
The secant line
Inconsistant
(-infinity - +infinity)
[0 -+infinity)

40. What is the range of an identity function?
(-infinity - +infinity)
Horizontal
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.
X = the original sale price and the formula is x - .40x =$276

41. What is the vertex?
The minimum or maximum points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal
Square Root

42. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
The second set of components of an ordered pair
C>1 - horizontal shrinking

43. Of the seven of algebra's common graph's how many are odd?
As equations
Only one
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

44. x=all real numbers is what type of an equation?
Neither
Identity
Mirror image neg quadrant to that of the positive quandrant
Parabola

45. Which direction does f(x-c) move
Horizontal
2nd key - x^2 - graph
Horizontal right
Inconsistant

46. What is the letter used to represent slope?
M
Y
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

47. What is the formula in both horizontal stretching and horizontal shrinking?
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=b

48. What direction does f(x)-c move in standard absolute value formula?
Undefined slope
Cannot be drawn in quizlet
Down
Yes - all the domains points to one range

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

50. What type of line is a constant function?
X^2
Yes - all the domains points to one range
Horizontal
Any set of ordered pairs