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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 even?
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
Parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

2. What is the domain of the cube root function?
(-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
1 -2 -3
The first set of components of an ordered pair

3. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

4. What is the domain of an identity function?
F(x)=x^3
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

5. What is the vertical line formula?
A V
X=a
Odd
Perpendicular line

6. What is the vertical line test?
Y=IxI
When does a graph not define y as a function of x?
Inconsistant
F(x)=IxI

7. x=no real numbers is what type of an equation?
2nd key - x^2 - graph
Even
Inconsistant
Math 4 x - graph

8. What type of line is a constant function?
Horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

9. Is a standard quadratic function even - odd or neither?
When does a graph not define y as a function of x?
Odd
Even
Y=x^2 - graph

10. What type of slope do you have when the line is horizontal and m=0?
(-infinity - 0]you[0 - +infinity)
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up

11. What is a domain?
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
2nd key - x^2 - graph
(-infinity - +infinity)
The first set of components of an ordered pair

12. Two vertical lines side by side are a symbol for what
Odd
Postiive slope
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. 4x+5x=8x is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The secant line
Conditional

14. What is the point slope formula and when do you use it?
Y=IxI
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

15. Is the square root function odd - even or neither?
(-infinity - +infinity)
F of g and g of f
Neither
Y=10

16. What is the range for the standard cubic function?
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
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 - +infinity)

17. What type of line is an identity function?
[0 -+infinity)
45 degree angle
Up
F(x)=3 square root x

18. How are functions normally written?
The minimum or maximum points
2nd catalog (zero key -) abs(x) - graph
Square Root
As equations

19. What is the letter used to represent slope?
M
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined slope

20. What is the domain for the standard cubic function?
2nd key - x^2 - graph
(-infinity - +infinity)
Y=b
Math 4 x - graph

21. What points do you use to plot the inverse on a graph?
The opposite coordinates
45 degree angle
(-infinity - +infinity)
Parabola

22. What equation does every line have? Discuss the variables.
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 of g and g of f
Conditional
F(x^1)=f(x^2)

23. What type of slope do you have when a line rises from left to right and m>0?
2nd key - x^2 - graph
Postiive slope
Conditional
X^2

24. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=+c and f(x)-c

25. 4(x-7)=4x+28 is what type of an equation?
Conditional
Yes because two x's or domains can point to one y
Inconsitent
Equation of a line

26. What is the slope intercept formula? Define all the variables.
F(x)=+c and f(x)-c
Yes because two x's or domains can point to one y
Yes because two x's or domains can point to one y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. 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
Inconsistant
(-infinity - +infinity)
Y

28. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
X^2
F(x+c) and f(x-c)
F(x2)-f(x1) / x2-x1

29. What can we substitute for f(x)?
X^2
Mirror image neg quadrant to that of the positive quandrant
Y
(-infinity - +infinity)

30. How many ranges can you have for each domain?
Yes because two x's or domains can point to one y
Up
Even
Only one

31. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Y
Postiive slope
Inconsitent

32. What does the standard cubic function look like on a graph?
Y=10
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
X2-x1 because the demonaitor of a quotient can never equal zero

33. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Identity
F(x)=+c and f(x)-c
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

34. What are the calculator instructions for the cube root function?
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
Postiive slope
Math 4 x - graph
Inconsistant

35. What is the range of the cube root function?
(-infinity - +infinity)
Odd
2nd key - x^2 - graph
Parraelle line

36. What is the formula for an identity function?
F(x) = x
A V
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph

37. Why can h not equal zero in the difference of a quotient function formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

38. What is the domain for an absolute value function?
Conditional
The slope of a line containing two points
Horizontal
(-infinity - +infinity)

39. What does linear equation mean?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
The single number y=

40. What is the domain of a square root function?
F(x)=x^3
[0 -+infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd

41. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Y= then enter the number then press graph
No because you cannot have one domain pointing at two y's or ranges
Horizontal

42. What is the formula for an identity function?
F(x)=x^3
Absolute Value - Constant and Standard Quadratic
F(x) = x
M

43. What are the four steps for solving a linear equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal
(-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.

44. What does linear equation mean?
Odd
Equation of a line
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph

45. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
Even
Horizontal

46. What type of line is an identity function?
Y=x^2 - graph
(-infinity - +infinity)
45 degree angle
Yes - all the domains points to one range

47. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Inconsistant
Identity
X=a

48. What is an identity function?
Identity
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10

49. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - +infinity)
Odd
Parabola

50. What is the horizontal line formula?
Only one
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
Y=b