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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. Which direction does f(x-c) move
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal right

2. y=f(cx) - What does this formula represent?
Odd
F(x)=IxI
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking

3. standard absolute value - horizontal shift formulas for left and right
M
(-infinity - 0]you[0 - +infinity)
Square Root
F(x+c) and f(x-c)

4. x= a real number is what type of equation?
Conditional
Horizontal right
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

5. What are the four steps for finding the inverse of a function?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

6. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Up

7. What shape is the standard quadratic function?
Any set of ordered pairs
Math 4 x - graph
Parabola
(-infinity - +infinity)

8. What points do you use to plot the inverse on a graph?
Even
Yes - all the domains points to one range
Conditional
The opposite coordinates

9. What is the slope intercept formula? Define all the variables.
Inconsitent
X=a
Identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. What is the range of the constant function?
Three odd - cube root - identity - standard cubic
The single number y=
The slope of a line containing two points
When does a graph not define y as a function of x?

11. What type of slope do horizontal lines have?
Y=x^2 - graph
Same
Horizontal
Even

12. What are the four steps for solving a linear equation?
Horizontal left
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.
Set the x and y to zero and get the intercepts and then plot the points
In a quotient

13. What is a function?
45 degree angle
20+.05x=5+.10x x=minutes
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

14. standard absolute value - horizontal shift formulas for left and right
Horizontal
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
F(x+c) and f(x-c)

15. Why can h not equal zero in the difference of a quotient function formula?
Equation of a line
Horizontal
Odd
Because the demintor of a quotient can never equal zero

16. Of the seven of algebra's common graph's how many are odd?
In a quotient
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Yes - all the domains points to one range

17. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X=a
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276

18. What does linear equation mean?
Piecewise
Even
F(x^1)=f(x^2)
Equation of a line

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

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20. What is the formula for slope?
F(x^1)=f(x^2)
X^2
F(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
20+.05x=5+.10x x=minutes
Zero slope
X^2

22. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Parabola - up one and right three
(-infinity - +infinity)
A V

23. What type of line is a constant function?
X=a
F(x)=x^3
[0 -+infinity)
Horizontal

24. What is a relation?
Even
Identity
Any set of ordered pairs
The single number y=

25. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - 0]you[0 - +infinity)
The secant line
Function notation
Even

26. What is the range for a standard quadratic function?
The opposite coordinates
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

27. What is the formula for the standard cubic function?
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair
F(x)=x^3

28. What is the average rate of change formula?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = 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.

29. Draw or discuss a constant function
Cannot be drawn in quizlet
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M

30. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
The opposite coordinates
Horizontal

31. What are the calculator instructions for absolute value?
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function
20+.05x=5+.10x x=minutes

32. 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
M
Perpendicular line
M

33. What is the domain for a standard quadratic function?
Perpendicular line
Down
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

34. What are the calculator instructions for a square root function?
[0 -+infinity)
The first set of components of an ordered pair
Math 4 x - graph
2nd key - x^2 - graph

35. How many ranges can you have for each domain?
Line ascending to the right gradually
(-infinity - +infinity)
Any set of ordered pairs
Only one

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

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37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=x^2 - graph
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points
As equations

38. What is the letter used to represent slope?
Conditional
M
Y
As many as you like

39. Which direction does f(x-c) move
(-infinity - 0]you[0 - +infinity)
As many as you like
Horizontal right
The single number y=

40. What is the vertical line formula?
Conditional
(-infinity - +infinity)
(-infinity - +infinity)
X=a

41. What is the range of an identity function?
The first set of components of an ordered pair
Parabola
[0 -+infinity)
(-infinity - +infinity)

42. What are two examples of composit functions?
F of g and g of f
Equation of a line
Parabola
The slope of a line containing two points

43. Draw or discuss an increasing function
Cannot be drawn in quizlet
Equation of a line
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

44. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Postiive slope
F(x)=x^3
45 degree angle

45. What is the horizontal line formula?
Y= then enter the number then press graph
Y=b
2nd catalog (zero key -) abs(x) - graph
Conditional

46. 4(x-7)=4x+28 is what type of an equation?
F of g and g of f
Identity
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

47. When is the only time (-infinity - +infinity) is not the domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
Yes because two x's or domains can point to one y
Identity

48. What type of slope do you have when m=? and the line is vertical?
Math 4 x - graph
Undefined slope
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

49. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
X math 3 graph
2nd key - x^2 - graph
Yes - all the domains points to one range

50. What is the domain of the cube root function?
Horizontal
F(x)=+c and f(x)-c
(-infinity - +infinity)
A V