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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 the formula for an absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
Three odd - cube root - identity - standard cubic
F(x)=IxI

2. What is the vertex?
The minimum or maximum points
Postiive slope
Conditional
F of g and g of f

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

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4. Is the standard cubic function odd - even or neither?
Undefined
Y= then enter the number then press graph
Identity
Odd

5. What shape is the standard quadratic function?
Parabola
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

6. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Conditional
1 -2 -3
X^2
F(x)=3 square root x

7. What type of slope do horizontal lines have?
Same
Odd
[0 -+infinity)
Odd

8. Which direction does f(x)=+c move in standard absolute value formula?
Y= then enter the number then press graph
Y=x - identity function
Up
Yes because two x's or domains can point to one y

9. Draw or discuss a constant function
Even
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
Postiive slope

10. What is the range of an identity function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-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
Horizontal right

11. What is the letter used to represent slope?
M
Yes - all the domains points to one range
The opposite coordinates
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. What is a domain?
A line passing through two distinct points
The first set of components of an ordered pair
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

13. What is the formula for an absolute value function?
Function notation
Only one
X^2
F(x)=IxI

14. 4x+5x=8x is what type of an equation?
Conditional
F(x)=x^3
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

15. What is the formula for an identity function?
Conditional
20+.05x=5+.10x x=minutes
F(x) = x
[0 -+infinity)

16. What equation does every line have? Discuss the variables.
F of g and g of f
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.
Neither
Piecewise

17. What is the slope intercept formula? Define all the variables.
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f
Parabola

18. How many domains can you have pointing to one range?
As many as you like
2nd key - x^2 - graph
(-infinity - +infinity)
Inconsistant

19. What is the formula for an identity function?
F(x) = x
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle

20. What is slope?
A line passing through two distinct points
Line ascending to the right gradually
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)

21. How would this formula move f(x)=(x+1)^2-3
F(x)=IxI
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
The opposite coordinates

22. Draw or discuss a decreasing function
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
Parabola
Y

23. Is an absolute value function even - odd or neither?
F(x)=x^3
Even
Negative slope
Because the demintor of a quotient can never equal zero

24. Two vertical lines side by side are a symbol for what
Parraelle line
(-infinity - +infinity)
The opposite coordinates
1 -2 -3

25. Draw or discuss a decreasing function
(-infinity - +infinity)
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
Cannot be drawn in quizlet
Y

26. What does linear equation mean?
[0 -+infinity)
4 -6 -9
Equation of a line
(-infinity - +infinity)

27. What are two examples of composit functions?
Conditional
F of g and g of f
The second set of components of an ordered pair
[0 -+infinity)

28. What is the formula for the cube root function?
F(x)=3 square root x
Inconsitent
F(x+c) and f(x-c)
As many as you like

29. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Perpendicular line
Y
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

30. Is an identity function even - odd or neither?
X^2
Odd
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

31. What are the four steps for solving a linear equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Y=x^2 - graph
As equations

32. What type of line is an identity function?
Up
Neither
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. What does the absolute value function look like?
Up
A V
Postiive slope
Neither

34. $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?
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
Parabola
Cannot be drawn in quizlet
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

35. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parabola
X^2

36. Is an identity function even - odd or neither?
Odd
A V
4 -6 -9
Parraelle line

37. What is the range for the standard cubic function?
Postiive slope
Same
(-infinity - +infinity)
Even

38. A flat line underlining one vertical line is a symbol for...
Undefined
The second set of components of an ordered pair
Perpendicular line
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.

39. What are the four steps for finding the inverse of a function?
Postiive slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative slope
(-infinity - +infinity)

40. What are the four steps for solving a linear equation?
Equation of a line
Odd
Only one
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.

41. What are the calculator instructions for the standard cubic function?
Negative slope
4 -6 -9
X math 3 graph
Approach neg toward x through zero and above positive close to x

42. What does the average rate of change formula solve?
Same
As many as you like
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1

43. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
X math 3 graph
In a quotient
20+.05x=5+.10x x=minutes

44. How are functions normally written?
F(x+h)-f(x)/h h cannot equal zero
As equations
X=a
(-infinity - +infinity)

45. What is the formula for the standard cubic function?
F(x)=x^3
The minimum or maximum points
0<c<1 - horizontal stretching
Y=x^2 - graph

46. What is the vertical line test?
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
Conditional

47. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

48. What can we substitute for f(x)?
F(x)=+c and f(x)-c
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
Y

49. What type of slope do vertical lines have?
(-infinity - +infinity)
Undefined
(-infinity - 0]you[0 - +infinity)
Negative inverse

50. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
Math 4 x - graph
Yes because two x's or domains can point to one y