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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. Of the seven of algebra's common graph's how many are neither?
Y
Square Root
Parabola
F(x)=3 square root x

2. What is the slope intercept formula? Define all the variables.
F(x)=+c and f(x)-c
A line passing through two distinct points
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. What is the domain for an absolute value function?
F(x)=x^3
F(x2)-f(x1) / x2-x1
Horizontal left
(-infinity - +infinity)

4. What is the range of an identity function?
Inconsitent
Horizontal
F(x)=x^3
(-infinity - +infinity)

5. What is the range for the standard cubic function?
(-infinity - +infinity)
Zero slope
The single number y=
(-infinity - 0]you[0 - +infinity)

6. What is a constant function?
Postiive slope
Y=x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
F(x^1)=f(x^2)

7. What is the formula for the square root function?
F(x)=suare root of x
The single number y=
(-infinity - +infinity)
F(x^1)=f(x^2)

8. Draw or discuss a constant function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
The first set of components of an ordered pair
(-infinity - +infinity)

9. Is an absolute value function even - odd or neither?
Yes because two x's or domains can point to one y
Identity
Even
Same

10. What is the range of an identity function?
The slope of a line containing two points
Horizontal right
As many as you like
(-infinity - +infinity)

11. What are the calculator instructions for a standard quadratic equation?
Any set of ordered pairs
Y=x^2 - graph
The second set of components of an ordered pair
Even

12. What is the formula for the standard cubic function?
F(x)=x^3
Up
F(x+c) and f(x-c)
Down

13. What are the four steps for solving a linear equation?
[0 -+infinity)
(-infinity - +infinity)
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What type of line is a constant function?
Horizontal
Any set of ordered pairs
Horizontal right
[0 -+infinity)

15. What are two examples of composit functions?
F of g and g of f
Set the x and y to zero and get the intercepts and then plot the 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
(-infinity - +infinity)

16. f(x) = x^2+3x+5 - what type of formula is this?
[0 -+infinity)
Function notation
(-infinity - +infinity)
Horizontal

17. What type of slope do you have when a line falls left to right and m<0?
Y=x - identity function
Y= then enter the number then press graph
Square Root
Negative slope

18. What does the square root function look like on a graph?
F(x^1)=f(x^2)
Down
Line ascending to the right gradually
Neither

19. What shape is the standard quadratic function?
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
[0 -+infinity)
Parabola

20. x=all real numbers is what type of an equation?
Y= then enter the number then press graph
Y=x^2 - graph
Identity
Square Root

21. Draw or discuss an increasing function
Down
Y=x^2 - graph
Cannot be drawn in quizlet
The opposite coordinates

22. 4(x-7)=4x-28 is what type of an equation?
Identity
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

23. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
F of g and g of f
(-infinity - +infinity)
Yes - all the domains points to one range

24. What is the vertical line formula?
(-infinity - +infinity)
(-infinity - +infinity)
X=a
Equation of a line

25. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Set the x and y to zero and get the intercepts and then plot the points
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations
Three odd - cube root - identity - standard cubic

26. 4(x-7)=4x-28 is what type of an equation?
Y=10
Cannot be drawn in quizlet
Line ascending to the right gradually
Identity

27. What is the domain for an absolute value 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
(-infinity - +infinity)
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What is the domain for the standard cubic function?
(-infinity - +infinity)
The second set of components of an ordered pair
F(x) = x
Postiive slope

29. What type of slope do horizontal lines have?
Math 4 x - graph
Perpendicular line
Same
Conditional

30. What does the square root function look like on a graph?
F(x) = x
Line ascending to the right gradually
F(x) = x
(-infinity - +infinity)

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Three odd - cube root - identity - standard cubic
The slope of a line containing two points
The secant line
(-infinity - 0]you[0 - +infinity)

32. Two vertical lines side by side are a symbol for what
F(x^1)=f(x^2)
Y=x^2 - graph
Parraelle line
Math 4 x - graph

33. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+h)-f(x)/h h cannot equal zero

34. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
X math 3 graph
A V
In a quotient

35. What is the formula for to calculate the difference of a quotient function?
Equation of a line
Even
In a quotient
F(x+h)-f(x)/h h cannot equal zero

36. Of the seven of algebra's common graph's how many are neither?
Up
Square Root
As equations
No because you cannot have one domain pointing at two y's or ranges

37. In an identity function if f(10)=x than What is y?
Only one
Y=10
Even
Even

38. What equation does every line have? Discuss the variables.
(-infinity - 0]you[0 - +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.
Inconsistant
Undefined slope

39. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Even
(-infinity - +infinity)
2nd key - x^2 - graph

40. Of the seven of algebra's common graph's how many are 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.
[0 -+infinity)
Negative inverse
Absolute Value - Constant and Standard Quadratic

41. What does the absolute value function look like?
(-infinity - +infinity)
X=a
A V
X math 3 graph

42. What is another way to write f(x)=x - what type of function is this?
Y=IxI
The single number y=
Even
Y=x - identity function

43. What type of slope do you have when the line is horizontal and m=0?
Odd
Zero slope
0<c<1 - horizontal stretching
2nd key - x^2 - graph

44. What type of slope do you have when m=? and the line is vertical?
20+.05x=5+.10x x=minutes
Undefined slope
Zero slope
Undefined

45. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined slope
F of g and g of f

46. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
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.
Identity
When does a graph not define y as a function of x?

47. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
Absolute Value - Constant and Standard Quadratic
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

48. y=f(cx) What does this formula represent?
X2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. What type of slope do vertical lines have?
Identity
Horizontal
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined

50. What does the average rate of change formula solve?
Even
Cannot be drawn in quizlet
45 degree angle
The slope of a line containing two points