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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 is the vertex?
As many as you like
4 -6 -9
The minimum or maximum points
Any set of ordered pairs

2. Of the seven of algebra's common graph's how many are odd?
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic

3. What are the four steps for solving a linear equation?
Approach neg toward x through zero and above positive close to x
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.
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+h)-f(x)/h h cannot equal zero

4. Is a standard quadratic function even - odd or neither?
Even
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

5. Is an absolute value function even - odd or neither?
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=suare root of x
Even

6. What does the absolute value function look like?
(f+g) - (f-g) - (fg) - (f/g) all of x
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.

7. Is an absolute value function even - odd or neither?
M
Negative slope
Even
Neither

8. What are two examples of composit functions?
Y=IxI
The second set of components of an ordered pair
F of g and g of f
Identity

9. What is the domain for a standard quadratic function?
Y=IxI
(-infinity - +infinity)
Down
Odd

10. What is a function?
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X math 3 graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

11. Is an identity function even - odd or neither?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Odd
(-infinity - +infinity)

12. What can never equal zero in the slope formula and why?
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=IxI
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

13. What type of line is a constant function?
2nd key - x^2 - graph
Piecewise
Horizontal
The opposite coordinates

14. What are the four steps for finding the inverse of a function?
F(x+c) and f(x-c)
When does a graph not define y as a function 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
F(x)=suare root of x

15. What is the letter used to represent slope?
M
Y= then enter the number then press graph
(-infinity - +infinity)
45 degree angle

16. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
2nd key - x^2 - graph
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
The minimum or maximum points

17. What type of slope do you have when a line rises from left to right and m>0?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Approach neg toward x through zero and above positive close to x
The first set of components of an ordered pair
Postiive slope

18. What is the range of the cube root function?
Parabola
(-infinity - +infinity)
Even
45 degree angle

19. What is the standard quadratic function?
Conditional
The second set of components of an ordered pair
X^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

20. What is a constant function?
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)
F of g and g of f

21. What is the slope intercept formula? Define all the variables.
45 degree angle
X math 3 graph
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

22. Is the square root function odd - even or neither?
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Neither

23. Which direction does f(x+c) move
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
Neither
Horizontal left
Inconsistant

24. What can we substitute for f(x)?
F(x)=+c and f(x)-c
Y
Even
Postiive slope

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
[0 -+infinity)
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

26. What is the letter used to represent slope?
M
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
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic

27. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Identity
Parraelle line
F(x)=+c and f(x)-c

28. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
Zero slope
Yes - all the domains points to one range

29. What is the range for the standard cubic function?
Undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Up

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

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31. What does the square root function look like on a graph?
Horizontal
As many as you like
Y=b
Line ascending to the right gradually

32. What is the range for an absolute value function?
Odd
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Y=10

33. What is the formula for the square root function?
Conditional
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Because the demintor of a quotient can never equal zero

34. What is the vertical line test?
When does a graph not define y as a function of x?
Even
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x

35. Two vertical lines side by side are a symbol for what
Parraelle line
Y=IxI
A line passing through two distinct points
Cannot be drawn in quizlet

36. Which direction does f(x+c) move
Even
Horizontal left
Down
(-infinity - +infinity)

37. What is the slope of a perpendicular line?
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
The second set of components of an ordered pair
Negative inverse

38. What type of slope do horizontal lines have?
Y=IxI
Same
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
Parraelle line

39. What are the four steps for finding the inverse of a 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.
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even

40. What are the steps for solving a word problem?
The minimum or maximum points
Negative slope
Math 4 x - graph
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

41. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Y=x - identity function
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

42. What is a relation?
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

43. What are the calculator instructions for the cube root function?
45 degree angle
Identity
F(x) = x
Math 4 x - graph

44. What type of slope do you have when the line is horizontal and m=0?
F(x)=+c and f(x)-c
Zero slope
2nd catalog (zero key -) abs(x) - graph
Mirror image neg quadrant to that of the positive quandrant

45. How would this formula move f(x)=(x+1)^2-3
F(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Yes - all the domains points to one range
Parabola - up one and right three

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Yes - all the domains points to one range
Same

47. What is the range of the cube root function?
(-infinity - 0]you[0 - +infinity)
M
(-infinity - +infinity)
Y=10

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

49. How do you graph Ax+By+C=0?
Square Root
Negative slope
Negative inverse
Set the x and y to zero and get the intercepts and then plot the points

50. Why can h not equal zero in the difference of a quotient function formula?
Absolute Value - Constant and Standard Quadratic
Absolute Value - Constant and Standard Quadratic
Because the demintor of a quotient can never equal zero
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.