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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
The second set of components of an ordered pair
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points

2. What is the domain of a square root function?
[0 -+infinity)
Up
Horizontal right
X math 3 graph

3. What is the range for a standard quadratic function?
Function notation
Parraelle line
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero

4. What is a function?
Any set of ordered pairs
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd

5. What is the formula for to calculate the difference of a quotient 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
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Undefined slope

6. Is a standard quadratic function even - odd or neither?
Even
Inconsistant
Absolute Value - Constant and Standard Quadratic
F of g and g of f

7. Draw or discuss an increasing function
Cannot be drawn in quizlet
F(x)=IxI
As many as you like
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

8. y=f(cx) What does this formula represent?
(-infinity - 0]you[0 - +infinity)
Undefined slope
0<c<1 - horizontal stretching
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

9. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
F(x)=x^3
Undefined slope
Y=IxI

10. What does the standard cubic function look like on a graph?
No because you cannot have one domain pointing at two y's or ranges
Mirror image neg quadrant to that of the positive quandrant
F(x2)-f(x1) / x2-x1
Same

11. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line
Equation of a line

12. What is the range for the standard cubic function?
Horizontal
Equation of a line
(-infinity - +infinity)
The slope of a line containing two points

13. What points do you use to plot the inverse on a graph?
Yes because two x's or domains can point to one y
The minimum or maximum points
The opposite coordinates
Conditional

14. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
4 -6 -9

15. What does the graph of the cube root function look like on the graph?
Horizontal
Identity
F(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

16. What are the calculator instructions for a standard quadratic equation?
X = the original sale price and the formula is x - .40x =$276
Parabola
Y=x^2 - graph
Three odd - cube root - identity - standard cubic

17. What type of slope do horizontal lines have?
F(x2)-f(x1) / x2-x1
Inconsistant
Same
The second set of components of an ordered pair

18. x=all real numbers is what type of an equation?
(-infinity - +infinity)
Horizontal
F(x^1)=f(x^2)
Identity

19. What is the range of a square root function?
Because the demintor of a quotient can never equal zero
Parraelle line
[0 -+infinity)
F(x)=3 square root x

20. What is the range of the constant function?
[0 -+infinity)
(-infinity - +infinity)
The single number y=
Set the x and y to zero and get the intercepts and then plot the points

21. What are the calculator instructions for the standard cubic function?
Even
X math 3 graph
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

22. How many ranges can you have for each domain?
Negative slope
Only one
The secant line
Set the x and y to zero and get the intercepts and then plot the points

23. What does the average rate of change formula solve?
Y=b
The slope of a line containing two points
Even
Horizontal

24. What is the vertical line test?
(-infinity - 0]you[0 - +infinity)
When does a graph not define y as a function of x?
Parraelle line
Any set of ordered pairs

25. What is another way of writing the absolute value function?
Parraelle line
Y=10
Cannot be drawn in quizlet
Y=IxI

26. What is the range for the standard cubic function?
Horizontal
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
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

27. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
Identity
Y=IxI
M

28. Which direction does f(x+c) move
X math 3 graph
(-infinity - +infinity)
0<c<1 - horizontal stretching
Horizontal left

29. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x+c) and f(x-c)
Function notation
Yes - all the domains points to one range
A V

30. What is the vertex?
The minimum or maximum points
Horizontal
Only one
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

31. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
Piecewise
1 -2 -3

32. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
Even
A line passing through two distinct points

33. x= a real number is what type of equation?
Y=b
Conditional
Horizontal
Horizontal right

34. What is the domain for an absolute value function?
C>1 - horizontal shrinking
As equations
F(x+c) and f(x-c)
(-infinity - +infinity)

35. Two vertical lines side by side are a symbol for what
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
Parraelle line

36. What is the letter used to represent slope?
Absolute Value - Constant and Standard Quadratic
Parabola - up one and right three
M
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
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.

38. Of the seven of algebra's common graph's how many are even?
F(x) = x
Only one
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
Absolute Value - Constant and Standard Quadratic

39. What is the domain and range of a constant function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3
F(x)=3 square root x
(-infinity - +infinity)

40. Is a standard quadratic function even - odd or neither?
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal left
Even

41. What is the formula for an absolute value 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
F(x)=IxI
Y=IxI
[0 -+infinity)

42. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
As many as you like
Any set of ordered pairs
Odd

43. What direction does f(x)-c move in standard absolute value formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
Down
F(x)=IxI

44. What type of line is an identity function?
45 degree angle
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Any set of ordered pairs
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. 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
F(x) = x
Cannot be drawn in quizlet
Horizontal right

47. What type of line is a constant function?
Cannot be drawn in quizlet
Any set of ordered pairs
Parraelle line
Horizontal

48. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +infinity)
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
Odd
Neither

49. What is the vertex?
In a quotient
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 minimum or maximum points
The first set of components of an ordered pair

50. Is the square root function odd - even or neither?
45 degree angle
(-infinity - +infinity)
Neither
Negative slope