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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 a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Because the demintor of a quotient can never equal zero
Equation of a line
(-infinity - +infinity)

2. What is a relation?
Any set of ordered pairs
Parraelle line
Even
Neither

3. Which direction does f(x)=+c move in standard absolute value formula?
Cannot be drawn in quizlet
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 line passing through two distinct points
Up

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1

5. How do you graph Ax+By+C=0?
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Horizontal right

6. What is a constant function?
Y= then enter the number then press graph
The secant line
In a quotient
F(x^1)=f(x^2)

7. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=x^3

8. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
Y= then enter the number then press graph
Line ascending to the right gradually

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

10. What can we substitute for f(x)?
(-infinity - +infinity)
Math 4 x - graph
Y
Even

11. What is the formula for the cube root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=3 square root x
2nd key - x^2 - graph
Conditional

12. What type of line is a constant function?
Horizontal
F of g and g of f
Y=x - identity function
(-infinity - +infinity)

13. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=suare root of x
Even

14. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
[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.
Zero slope

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

16. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
F(x+c) and f(x-c)
X math 3 graph
(-infinity - +infinity)

17. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
X^2
(-infinity - +infinity)

18. What can we substitute for f(x)?
Negative inverse
Y
X=a
(-infinity - 0]you[0 - +infinity)

19. What is the letter used to represent slope?
Inconsitent
Parabola - up one and right three
M
F(x2)-f(x1) / x2-x1

20. f(x) = x^2+3x+5 - what type of formula is this?
20+.05x=5+.10x x=minutes
Even
Function notation
F(x)=IxI

21. What are the calculator instructions for the standard cubic function?
X math 3 graph
The opposite coordinates
The second set of components of an ordered pair
F of g and g of f

22. What are the four steps for solving a linear equation?
20+.05x=5+.10x x=minutes
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.
(-infinity - +infinity)
4 -6 -9

23. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Equation of a line
Postiive slope
Piecewise

24. A flat line underlining one vertical line is a symbol for...
20+.05x=5+.10x x=minutes
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y

25. What is the horizontal line formula?
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.
Y=b
The slope of a line containing two points
Cannot be drawn in quizlet

26. Is the standard cubic function odd - even or neither?
In a quotient
C>1 - horizontal shrinking
Odd
Only one

27. What type of slope do you have when a line rises from left to right and m>0?
The single number y=
When does a graph not define y as a function of x?
Postiive slope
Horizontal right

28. What is the range for the standard cubic function?
(-infinity - +infinity)
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
The first set of components of an ordered pair
Parabola

29. 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?
Postiive slope
Horizontal left
Math 4 x - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

30. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
X^2
Postiive slope
The minimum or maximum points

31. What is the range of the constant function?
20+.05x=5+.10x x=minutes
The secant line
Set the x and y to zero and get the intercepts and then plot the points
The single number y=

32. What type of slope do you have when a line falls left to right and m<0?
F(x) = x
Negative slope
(-infinity - +infinity)
X math 3 graph

33. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
4 -6 -9
The first set of components of an ordered pair
F(x)=+c and f(x)-c

34. What type of slope do you have when the line is horizontal and m=0?
Y=b
Zero slope
No because you cannot have one domain pointing at two y's or ranges
2nd catalog (zero key -) abs(x) - graph

35. What can never equal zero in the slope formula and why?
The secant line
X math 3 graph
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

36. What does the graph of the cube root function look like on the graph?
When does a graph not define y as a function of x?
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x

37. What is the domain for the standard cubic function?
Postiive slope
Y= then enter the number then press graph
(-infinity - +infinity)
Yes because two x's or domains can point to one y

38. What type of slope do you have when the line is horizontal and m=0?
Parabola - up one and right three
Zero slope
Even
Y

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
The opposite coordinates
The secant line

40. What is another way to write f(x)=x - what type of function is this?
Identity
Horizontal
Y=x - identity function
F(x)=suare root of x

41. How are functions normally written?
2nd key - x^2 - graph
Y= then enter the number then press graph
As equations
(-infinity - +infinity)

42. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Parraelle line
F of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. What is another way of writing the absolute value function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
F(x) = x
Y=IxI

44. What is the formula for the square root function?
(-infinity - +infinity)
As many as you like
Math 4 x - graph
F(x)=suare root of x

45. What does the standard cubic function look like on a graph?
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=IxI
Parabola
Y= then enter the number then press graph
Yes - all the domains points to one range

47. What type of line is a constant 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.
The second set of components of an ordered pair
Horizontal
Y=10

48. What is the range of the cube root function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
1 -2 -3
2nd key - x^2 - graph

49. What type of slope do horizontal lines have?
Same
Up
The single number y=
X math 3 graph

50. What is the standard quadratic function?
The slope of a line containing two points
4 -6 -9
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.
X^2