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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 are the calculator instructions for a square root function?
Parabola - up one and right three
F(x+h)-f(x)/h h cannot equal zero
Y=IxI
2nd key - x^2 - graph

2. y=f(cx) What does this formula represent?
4 -6 -9
[0 -+infinity)
(-infinity - +infinity)
0<c<1 - horizontal stretching

3. What is the formula for slope?
Mirror image neg quadrant to that of the positive quandrant
Conditional
Undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1

4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

5. 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
M
Function notation
F(x)=IxI

6. What are the calculator instructions for a standard quadratic equation?
F(x^1)=f(x^2)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

7. Of the seven of algebra's common graph's how many are even?
As many as you like
Even
Absolute Value - Constant and Standard Quadratic
4 -6 -9

8. What is the formula in both horizontal stretching and horizontal shrinking?
2nd catalog (zero key -) abs(x) - graph
Horizontal left
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair

9. What is the formula for an absolute value function?
Up
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.
A V
F(x)=IxI

10. What is a function?
4 -6 -9
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)

11. What are the calculator instructions for the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - graph
The secant line
Function notation

12. What is the formula for the standard cubic function?
Horizontal
F(x)=x^3
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. Is a constant function even - odd or neither?
Identity
As equations
Even
Cannot be drawn in quizlet

14. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Cannot be drawn in quizlet
4 -6 -9
Conditional
The secant line

15. What is the domain for an absolute value function?
(-infinity - +infinity)
In a quotient
Horizontal right
X is the hours to repair the boat. $1603-532=anwser/63 = x

16. standard absolute value - horizontal shift formulas for left and right
X^2
Negative inverse
Identity
F(x+c) and f(x-c)

17. How do you graph Ax+By+C=0?
F(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points

18. 4(x-7)=4x+28 is what type of an equation?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x2)-f(x1) / x2-x1
Inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

20. $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?
F(x2)-f(x1) / x2-x1
Undefined slope
Neither
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

21. What is a relation?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Any set of ordered pairs

22. Why can h not equal zero in the difference of a quotient function formula?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

23. What type of slope do vertical lines have?
Negative inverse
The slope of a line containing two points
F of g and g of f
Undefined

24. Is an identity function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
4 -6 -9
Even
Odd

25. What shape is the standard quadratic function?
Parabola
Line ascending to the right gradually
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

26. What is the letter used to represent slope?
X math 3 graph
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic
M

27. What are the calculator instructions for the standard cubic function?
F of g and g of f
Down
X math 3 graph
Postiive slope

28. What is another way to write f(x)=x - what type of function is this?
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
Parraelle line
Y=x - identity function

29. What is the vertical line 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.
Down
X=a
2nd catalog (zero key -) abs(x) - graph

30. What are the four steps for solving a linear equation?
Only one
The single number y=
Equation of a line
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.

31. What is the standard quadratic function?
X^2
Parabola - up one and right three
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.
Odd

32. y=f(cx) - What does this formula represent?
Y=b
Cannot be drawn in quizlet
C>1 - horizontal shrinking
As equations

33. What can we substitute for f(x)?
Function notation
Y
Mirror image neg quadrant to that of the positive quandrant
No because you cannot have one domain pointing at two y's or ranges

34. Is a constant function even - odd or neither?
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.
F(x)=+c and f(x)-c
Even
Parraelle line

35. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
The first set of components of an ordered pair
X=a
Up

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

37. How are functions normally written?
As equations
F(x) = x
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. What is the formula for an identity function?
F(x) = x
Inconsitent
Undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. What are the calculator instructions for the standard cubic function?
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.
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X math 3 graph

40. What does the absolute value function look like?
Horizontal
A V
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
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

41. What type of slope do you have when the line is horizontal and m=0?
Line ascending to the right gradually
X^2
Zero slope
Same

42. What type of slope do horizontal lines have?
Same
Even
The slope of a line containing two points
Cannot be drawn in quizlet

43. 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
[0 -+infinity)
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276

44. What are the calculator instructions for absolute value?
Negative slope
Y
2nd catalog (zero key -) abs(x) - graph
As many as you like

45. What does the absolute value function look like?
Identity
Even
When does a graph not define y as a function of x?
A V

46. What is the domain for a standard quadratic function?
X math 3 graph
(-infinity - +infinity)
Any set of ordered pairs
Line ascending to the right gradually

47. Which direction does f(x)=+c move in standard absolute value formula?
Y=IxI
Conditional
Because the demintor of a quotient can never equal zero
Up

48. What is the range for the standard cubic function?
Parraelle line
0<c<1 - horizontal stretching
(-infinity - +infinity)
Y

49. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1

50. What are the calculator instructions for a square root function?
Negative inverse
2nd key - x^2 - graph
(-infinity - +infinity)
As equations