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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 can never equal zero in the slope formula and why?
Math 4 x - graph
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

2. Is the square root function odd - even or neither?
A V
Neither
Parabola
Undefined slope

3. What are the steps for solving a word problem?
A line passing through two distinct 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
Perpendicular line
The single number y=

4. x=no real numbers is what type of an equation?
Undefined
Inconsistant
Identity
[0 -+infinity)

5. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero

6. What is the vertical line formula?
X=a
C>1 - horizontal shrinking
(-infinity - +infinity)
Identity

7. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
Math 4 x - graph
F(x)=IxI

8. What are the four steps for solving a linear equation?
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.
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
Negative inverse

9. How do you calculate a constant function in your calculator?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y= then enter the number then press graph

10. What are the calculator instructions for a square root function?
Up
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
F(x)=IxI
2nd key - x^2 - graph

11. What is the range for the standard cubic function?
(-infinity - +infinity)
Horizontal left
Negative inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What shape is the standard quadratic function?
Parabola
Conditional
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

13. Which direction does f(x-c) move
0<c<1 - horizontal stretching
Horizontal left
Horizontal left
Horizontal right

14. What is the range for the standard cubic function?
Cannot be drawn in quizlet
Conditional
Horizontal
(-infinity - +infinity)

15. y=f(cx) - What does this formula represent?
Up
X^2
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)

16. What is the range of an identity function?
(-infinity - +infinity)
Neither
45 degree angle
Y=b

17. What does the average rate of change formula solve?
Cannot be drawn in quizlet
The slope of a line containing two points
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

18. What is another way to write f(x)=x - what type of function is this?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
Y=x - identity function

19. What type of slope do vertical lines have?
1 -2 -3
Undefined
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

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

21. What are two examples of composit functions?
Piecewise
F of g and g of f
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
Equation of a line

22. A flat line underlining one vertical line is a symbol for...
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Perpendicular line
X math 3 graph
Y

23. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity
The secant line
Line ascending to the right gradually

24. How are functions normally written?
Negative slope
Cannot be drawn in quizlet
As equations
4 -6 -9

25. Is a standard quadratic function even - odd or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Zero slope
Even
Horizontal right

26. 4(x-7)=4x+28 is what type of an equation?
20+.05x=5+.10x x=minutes
Inconsistant
Inconsitent
Even

27. What are the calculator instructions for a standard quadratic equation?
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
The second set of components of an ordered pair
Y

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

29. What are the steps for solving a word problem?
Perpendicular line
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
Horizontal right
20+.05x=5+.10x x=minutes

30. What does the standard cubic function look like on a graph?
Absolute Value - Constant and Standard Quadratic
Odd
Piecewise
Mirror image neg quadrant to that of the positive quandrant

31. What type of slope do you have when m=? and the line is vertical?
Undefined
Undefined slope
Horizontal left
As many as you like

32. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3
4 -6 -9
(-infinity - +infinity)

33. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes - all the domains points to one range
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
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1

34. What is another way of writing the absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsitent
Y=IxI
(-infinity - +infinity)

35. What type of slope do you have when the line is horizontal and m=0?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
Zero slope

36. What is a range?
C>1 - horizontal shrinking
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

37. What is an identity function?
Horizontal left
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle

38. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Even
Negative slope
Absolute Value - Constant and Standard Quadratic
1 -2 -3

39. Of the seven of algebra's common graph's how many are neither?
Even
Y=b
Negative inverse
Square Root

40. Which direction does f(x+c) move
(-infinity - +infinity)
Horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither

41. What is the slope intercept formula? Define all the variables.
Identity
Because the demintor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. What type of line is a constant function?
The opposite coordinates
Horizontal
F(x) = x
Cannot be drawn in quizlet

43. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
M
Cannot be drawn in quizlet
Even

44. What is another way of writing the absolute value function?
Y=IxI
The first set of components of an ordered pair
Even
Even

45. What is a function?
Line ascending to the right gradually
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Conditional
M
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

47. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
Function notation
2nd catalog (zero key -) abs(x) - graph
Negative slope

48. What is the formula for the standard cubic 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
Cannot be drawn in quizlet
F(x)=x^3
The second set of components of an ordered pair

49. What is the vertical line test?
Parraelle line
When does a graph not define y as a function of x?
(-infinity - +infinity)
Horizontal right

50. What is the point slope formula and when do you use it?
Y=IxI
Piecewise
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope