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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 is a constant function?
Parabola
M
F(x^1)=f(x^2)
0<c<1 - horizontal stretching

2. y=f(cx) - What does this formula represent?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
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.

3. 4(x-7)=4x-28 is what type of an equation?
As equations
Identity
Same
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Horizontal right
Conditional
Identity

5. f(x) = x^2+3x+5 - what type of formula is this?
F(x+c) and f(x-c)
Horizontal
Y=x - identity function
Function notation

6. What is the letter used to represent slope?
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
M

7. What are the steps for solving a word problem?
Horizontal right
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
Zero slope
Y=b

8. What is the domain of a square root function?
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
Neither

9. What can we substitute for f(x)?
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
The minimum or maximum points
Y

10. Is the square root function odd - even or neither?
F(x) = x
Y=x^2 - graph
Equation of a line
Neither

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
45 degree angle
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

12. How are functions normally written?
As equations
Negative slope
The second set of components of an ordered pair
(-infinity - +infinity)

13. What does the average rate of change formula solve?
The slope of a line containing two points
F(x)=suare root of x
F(x)=+c and f(x)-c
Inconsitent

14. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9
Conditional

15. Is the square root function odd - even or neither?
Same
Neither
F(x)=IxI
(-infinity - +infinity)

16. Is an absolute value function even - odd or neither?
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
Yes - all the domains points to one range
Parraelle line

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x2)-f(x1) / x2-x1
[0 -+infinity)
1 -2 -3
The opposite coordinates

18. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

19. Which direction does f(x+c) move
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
The single number y=

20. What type of line is an identity function?
Any set of ordered pairs
45 degree angle
Equation of a line
(-infinity - +infinity)

21. Draw or discuss a decreasing function
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
The first set of components of an ordered pair

22. How many ranges can you have for each domain?
(-infinity - +infinity)
(-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
Only one

23. Which direction does f(x-c) move
Cannot be drawn in quizlet
Conditional
Parabola - up one and right three
Horizontal right

24. What is the domain for a standard quadratic function?
F(x)=x^3
(-infinity - +infinity)
Math 4 x - graph
Y

25. What is the vertex?
The minimum or maximum points
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x) = x

26. What is the domain of the cube root function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
Undefined

27. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
Down
Inconsitent
20+.05x=5+.10x x=minutes

28. What is the point slope formula and when do you use it?
M
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What is a range?
[0 -+infinity)
Parabola
The second set of components of an ordered pair
Y=x - identity function

30. What is the formula for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
Yes because two x's or domains can point to one y
A V
F(x)=x^3

31. Of the seven of algebra's common graph's how many are odd?
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)
Three odd - cube root - identity - standard cubic
Parraelle line

32. What shape is the standard quadratic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Parabola
Cannot be drawn in quizlet

33. Is an identity function even - odd or neither?
Odd
Equation of a line
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x

34. What is a domain?
Negative slope
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
Even

35. What type of slope do you have when a line rises from left to right and m>0?
F(x)=IxI
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope

36. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Horizontal
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
Y=x^2 - graph

37. What is the formula for the square root function?
Zero slope
Negative inverse
F(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What type of slope do you have when a line falls left to right and m<0?
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.
Odd
Y=x^2 - graph
Negative slope

39. What type of slope do you have when a line falls left to right and m<0?
Y= then enter the number then press graph
(-infinity - +infinity)
Negative slope
F(x+h)-f(x)/h h cannot equal zero

40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative 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.
4 -6 -9

41. x=no real numbers is what type of an equation?
45 degree angle
Neither
F(x)=3 square root x
Inconsistant

42. Why can h not equal zero in the difference of a quotient function formula?
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
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
Because the demintor of a quotient can never equal zero

43. What can we substitute for f(x)?
Y
X = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x

44. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
F(x)=3 square root x
X2-x1 because the demonaitor of a quotient can never equal zero

45. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

46. What does the square root function look like on a graph?
The single number y=
Undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Line ascending to the right gradually

47. Of the seven of algebra's common graph's how many are neither?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
F(x+h)-f(x)/h h cannot equal zero
Square Root

48. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
Negative inverse
As equations

49. What is the average rate of change formula?
The slope of a line containing two points
As equations
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

50. What is an identity function?
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.
Zero slope
Y=IxI
45 degree angle