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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 does the square root function look like on a graph?
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually
Y=10

2. What type of slope do vertical lines have?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal
The single number y=
Undefined

3. What can we substitute for f(x)?
Y
Inconsitent
F(x+h)-f(x)/h h cannot equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

4. What is the letter used to represent slope?
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parabola - up one and right three
M

5. What is the vertex?
Equation of a line
X2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
Horizontal

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Parabola - up one and right three
4 -6 -9
Y= then enter the number then press graph
(-infinity - +infinity)

7. What is the slope intercept formula? Define all the variables.
X = the original sale price and the formula is x - .40x =$276
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

8. x=all real numbers is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Identity

9. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
A V
Cannot be drawn in quizlet
Inconsistant

10. How many ranges can you have for each domain?
Even
Only one
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal left

11. What is the formula for the standard cubic function?
Even
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.
Yes because two x's or domains can point to one y
F(x)=x^3

12. Which direction does f(x)=+c move in standard absolute value formula?
F of g and g of f
Up
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)

13. Is an absolute value function even - odd or neither?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
F(x2)-f(x1) / x2-x1
Even

14. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Horizontal right
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right

15. Of the seven of algebra's common graph's how many are even?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
Parabola
(-infinity - +infinity)

16. What can we substitute for f(x)?
Y
Conditional
In a quotient
The second set of components of an ordered pair

17. How do you calculate a constant function in your calculator?
X math 3 graph
Y= then enter the number then press graph
Up
F(x)=IxI

18. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
F(x+h)-f(x)/h h cannot equal zero
Square Root
No because you cannot have one domain pointing at two y's or ranges

19. What is the domain for the standard cubic function?
(-infinity - +infinity)
Up
Down
Y= then enter the number then press graph

20. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Y=b
45 degree angle
1 -2 -3

21. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
Square Root
Negative slope
Function notation

22. Of the seven of algebra's common graph's how many are neither?
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1
X math 3 graph
Square Root

23. What is the vertex?
F(x2)-f(x1) / x2-x1
The minimum or maximum points
Y=x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero

24. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
As equations
Parabola

25. What type of line is a constant function?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
Horizontal
1 -2 -3

26. What is the vertical line test?
[0 -+infinity)
As many as you like
When does a graph not define y as a function of x?
Inconsitent

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
F of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

28. What are the calculator instructions for the standard cubic function?
Same
X math 3 graph
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

29. What type of slope do you have when a line falls left to right and m<0?
Set the x and y to zero and get the intercepts and then plot the points
Parabola
Negative slope
Y

30. Two vertical lines side by side are a symbol for what
As equations
Parraelle line
[0 -+infinity)
F(x) = x

31. Is the square root function odd - even or neither?
Neither
Conditional
(-infinity - +infinity)
Yes - all the domains points to one range

32. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Y=IxI
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. What is an identity function?
45 degree angle
As equations
The single number y=
A V

34. What is the domain and range of a constant function?
(-infinity - +infinity)
In a quotient
45 degree angle
Horizontal left

35. What is the formula for slope?
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined slope

36. What direction does f(x)-c move in standard absolute value formula?
Odd
The slope of a line containing two points
Down
Cannot be drawn in quizlet

37. Is an absolute value function even - odd or neither?
Even
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
(-infinity - +infinity)

38. What type of line is a constant function?
The opposite coordinates
Horizontal
Y=b
F of g and g of f

39. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Negative inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

40. In an identity function if f(10)=x than What is y?
F(x+c) and f(x-c)
Identity
Square Root
Y=10

41. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic
X math 3 graph

42. Is an identity function even - odd or neither?
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
4 -6 -9

43. What is the horizontal line formula?
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
M

44. What is a range?
Approach neg toward x through zero and above positive close to x
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.
The second set of components of an ordered pair
Line ascending to the right gradually

45. What is a relation?
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=+c and f(x)-c
Any set of ordered pairs

46. What does linear equation mean?
Even
F(x) = x
Equation of a line
Horizontal

47. What is another way to write f(x)=x - what type of function is this?
[0 -+infinity)
Parabola
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

48. What is the formula for the cube root function?
Negative slope
F(x)=3 square root x
F(x^1)=f(x^2)
Same

49. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Parabola - up one and right three
Even
F(x+h)-f(x)/h h cannot equal zero

50. What shape is the standard quadratic function?
As equations
The first set of components of an ordered pair
Horizontal
Parabola