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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 neither?
Square Root
Parabola
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.

2. What is a relation?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Math 4 x - graph
Any set of ordered pairs

3. What is a relation?
Conditional
The first set of components of an ordered pair
Any set of ordered pairs
(-infinity - +infinity)

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Perpendicular line
The second set of components of an ordered pair
1 -2 -3
No because you cannot have one domain pointing at two y's or ranges

5. What is the vertex?
The minimum or maximum points
Even
Conditional
Postiive slope

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Identity
Horizontal right
20+.05x=5+.10x x=minutes
Only one

7. What can we substitute for f(x)?
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x
Y
F of g and g of f

8. What does the graph of the cube root function look like on the graph?
The single number y=
Approach neg toward x through zero and above positive close to x
1 -2 -3
Cannot be drawn in quizlet

9. Which direction does f(x+c) move
Horizontal left
F(x^1)=f(x^2)
Equation of a line
Y=IxI

10. What is an identity function?
Even
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
45 degree angle
Odd

11. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Same
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs

12. What is the standard quadratic function?
X^2
F(x)=IxI
X=a
Yes - all the domains points to one range

13. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
2nd key - x^2 - graph
X = the original sale price and the formula is x - .40x =$276
Negative inverse

14. What is the vertical line formula?
Cannot be drawn in quizlet
X=a
A line passing through two distinct points
Same

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

16. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]you[0 - +infinity)
F(x)=suare root of x
Undefined slope
M

17. What is a constant function?
(-infinity - +infinity)
Undefined slope
F(x^1)=f(x^2)
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.

18. What is another way of writing the absolute value 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
Y=x^2 - graph
Y=IxI
X=a

19. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)
Undefined
The minimum or maximum points

20. What is the formula in both horizontal stretching and horizontal shrinking?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

21. What is the vertical line test?
Undefined slope
45 degree angle
(-infinity - +infinity)
When does a graph not define y as a function of x?

22. What are the calculator instructions for the standard cubic function?
A line passing through two distinct points
2nd key - x^2 - graph
X math 3 graph
Y= then enter the number then press graph

23. What is the formula for an absolute value function?
F of g and g of f
F(x)=IxI
Inconsitent
[0 -+infinity)

24. What is the vertical line test?
2nd key - x^2 - graph
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
(-infinity - +infinity)

25. What shape is the standard quadratic function?
Conditional
F(x)=+c and f(x)-c
Parabola
Because the demintor of a quotient can never equal zero

26. What is the domain for an absolute value function?
Even
Yes - all the domains points to one range
F(x)=suare root of x
(-infinity - +infinity)

27. What does the absolute value function look like?
The secant line
A V
Even
Perpendicular line

28. How do you calculate a constant function in your calculator?
F(x)=x^3
The single number y=
Y= then enter the number then press graph
Line ascending to the right gradually

29. What type of slope do you have when the line is horizontal and m=0?
Perpendicular line
Yes - all the domains points to one range
Zero slope
Inconsistant

30. 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
(-infinity - +infinity)
Parabola - up one and right three
Even

31. What is the range for an absolute value function?
F(x)=+c and f(x)-c
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
Undefined slope

32. What is the average rate of change formula?
Math 4 x - graph
2nd catalog (zero key -) abs(x) - graph
Even
F(x2)-f(x1) / x2-x1

33. Is the square root function odd - even or neither?
Parraelle line
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Neither

34. What is the domain for the standard cubic function?
Identity
Y
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

35. Draw or discuss an increasing function
The secant line
Inconsitent
(-infinity - +infinity)
Cannot be drawn in quizlet

36. 4x+5x=8x is what type of an equation?
X=a
Conditional
(-infinity - +infinity)
0<c<1 - horizontal stretching

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
[0 -+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
45 degree angle
Conditional

38. How are functions normally written?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
Inconsitent
As equations

39. How many ranges can you have for each domain?
Only one
Up
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola - up one and right three

40. What is the domain of the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
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
(-infinity - +infinity)
A line passing through two distinct points

41. What are the steps for solving a word problem?
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
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant

42. x= a real number is what type of equation?
0<c<1 - horizontal stretching
The slope of a line containing two points
Conditional
Perpendicular line

43. What type of slope do you have when a line falls left to right and m<0?
The opposite coordinates
Identity
Y=IxI
Negative slope

44. Is a constant function even - odd or neither?
Even
Three odd - cube root - identity - standard cubic
Identity
Negative slope

45. What is the range for an absolute value function?
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)

46. What is the range of the cube root function?
A line passing through two distinct points
The minimum or maximum points
Any set of ordered pairs
(-infinity - +infinity)

47. Is a standard quadratic function even - odd or neither?
Even
Undefined slope
Horizontal
(-infinity - +infinity)

48. What is the range for the standard cubic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
M

49. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-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.

50. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant