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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 formula in both horizontal stretching and horizontal shrinking?
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph
F(x)=3 square root x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

2. What is the vertical line formula?
Parabola
(-infinity - 0]you[0 - +infinity)
X=a
No because you cannot have one domain pointing at two y's or ranges

3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
[0 -+infinity)
The secant line
Parabola - up one and right three
Absolute Value - Constant and Standard Quadratic

4. What type of line is a constant function?
Y=IxI
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

5. What is an identity function?
Postiive slope
45 degree angle
Parabola
F(x)=IxI

6. What is the domain of the cube root function?
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
When does a graph not define y as a function of x?

7. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Identity
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

8. A flat line underlining one vertical line is a symbol for...
Identity
Inconsistant
(-infinity - +infinity)
Perpendicular line

9. What does the average rate of change formula solve?
The secant line
Odd
F of g and g of f
The slope of a line containing two points

10. 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.
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x

11. What are the calculator instructions for absolute value?
Y=10
F(x+c) and f(x-c)
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph

12. {(1 -4)(2 -6)(3 -9)} what numbers are the 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
4 -6 -9
Horizontal left
The single number y=

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
Same
1 -2 -3

14. What are the four steps for finding the inverse of a function?
20+.05x=5+.10x x=minutes
Square Root
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

15. What is a domain?
Conditional
Undefined slope
The first set of components of an ordered pair
Parabola - up one and right three

16. What is the average rate of change formula?
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range

17. How many ranges can you have for each domain?
Only one
Down
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f

18. 4x+5x=8x is what type of an equation?
Up
20+.05x=5+.10x x=minutes
Y=x^2 - graph
Conditional

19. Draw or discuss an increasing function
Cannot be drawn in quizlet
Odd
45 degree angle
Horizontal

20. Is a standard quadratic function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
Even
(-infinity - +infinity)
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.

21. x=all real numbers is what type of an equation?
Identity
[0 -+infinity)
Y=x^2 - graph
Horizontal right

22. How many domains can you have pointing to one range?
Horizontal left
X = the original sale price and the formula is x - .40x =$276
As many as you like
Zero slope

23. What are the algebra of functions?
(-infinity - +infinity)
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x) = x

24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x)=+c and f(x)-c
Negative inverse
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. What are the calculator instructions for the standard cubic function?
The second set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X math 3 graph
(-infinity - +infinity)

26. f(x) = x^2+3x+5 - what type of formula is this?
2nd key - x^2 - graph
X^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation

27. What is the domain of a square root function?
Zero slope
[0 -+infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Only one

28. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
Y=IxI
As equations

29. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Even
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)

30. 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.
F(x)=x^3
F(x)=suare root of x
Inconsistant

31. What type of slope do you have when a line rises from left to right and m>0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
X=a
(f+g) - (f-g) - (fg) - (f/g) all of x
Postiive slope

32. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Yes - all the domains points to one range

33. Which direction does f(x+c) move
F(x^1)=f(x^2)
Horizontal left
As many as you like
20+.05x=5+.10x x=minutes

34. How many ranges can you have for each domain?
Set the x and y to zero and get the intercepts and then plot the points
Only one
Line ascending to the right gradually
The secant line

35. Is a constant function even - odd or neither?
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

36. Why can h not equal zero in the difference of a quotient function formula?
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.
F(x^1)=f(x^2)
Conditional
Because the demintor of a quotient can never equal zero

37. In an identity function if f(10)=x than What is y?
Inconsistant
Even
X = the original sale price and the formula is x - .40x =$276
Y=10

38. Is an identity function even - odd or neither?
4 -6 -9
Horizontal right
Odd
C>1 - horizontal shrinking

39. x= a real number is what type of equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

40. What shape is the standard quadratic function?
F(x)=3 square root 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.
Inconsitent
Parabola

41. What is the slope intercept formula? Define all the variables.
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
F(x)=suare root of x

42. Is an absolute value function even - odd or neither?
Even
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

43. What type of line is a constant function?
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
2nd catalog (zero key -) abs(x) - graph

44. What type of line is an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
45 degree angle
X=a

45. What is the domain for an absolute value function?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic

46. 4(x-7)=4x+28 is what type of an equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal right
Inconsitent
1 -2 -3

47. What is a function?
Mirror image neg quadrant to that of the positive quandrant
Even
Y=x - identity function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

48. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y=IxI
Identity
Horizontal left
X = the original sale price and the formula is x - .40x =$276

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
(-infinity - +infinity)
Even
45 degree angle

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