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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. y=f(cx) - What does this formula represent?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
Horizontal
Function notation

2. What points do you use to plot the inverse on a graph?
Odd
Absolute Value - Constant and Standard Quadratic
The opposite coordinates
Zero slope

3. What is the slope of a perpendicular line?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative inverse

4. What is another way to write f(x)=x - what type of function is this?
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
Three odd - cube root - identity - standard cubic

5. What type of line is a constant function?
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
Up
(-infinity - +infinity)

6. Which direction does f(x+c) move
The slope of a line containing two points
Horizontal left
Function notation
Horizontal right

7. What type of slope do horizontal lines have?
The single number y=
Y=x - identity function
45 degree angle
Same

8. Draw or discuss a constant function
[0 -+infinity)
As many as you like
The opposite coordinates
Cannot be drawn in quizlet

9. What is the formula for an absolute value function?
Y=IxI
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
F(x)=IxI

10. What is the formula for the square root function?
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.
The minimum or maximum points
F(x)=suare root of x
F(x2)-f(x1) / x2-x1

11. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Conditional
Equation of a line
Yes - all the domains points to one range

12. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The slope of a line containing two points
Negative inverse
Inconsistant

13. What is the standard quadratic function?
Cannot be drawn in quizlet
Horizontal right
Y=b
X^2

14. What type of line is a constant function?
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
Horizontal

15. What is the formula for the square root function?
Identity
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?

16. What does the square root function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Line ascending to the right gradually
Horizontal
Cannot be drawn in quizlet

17. What type of line is an identity function?
45 degree angle
Undefined slope
Odd
[0 -+infinity)

18. What are the calculator instructions for the cube root function?
Y=b
Math 4 x - graph
Yes because two x's or domains can point to one y
C>1 - horizontal shrinking

19. What is the range for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x)=IxI
F(x)=+c and f(x)-c

20. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes
Odd
Piecewise

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Absolute Value - Constant and Standard Quadratic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

22. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
Even
F(x)=suare root of x
C>1 - horizontal shrinking

23. What is the vertex?
The opposite coordinates
The minimum or maximum points
Conditional
Horizontal

24. What is the domain and range of a constant function?
(-infinity - +infinity)
Negative slope
20+.05x=5+.10x x=minutes
Horizontal

25. What is the formula for the standard cubic function?
Down
(-infinity - +infinity)
F(x^1)=f(x^2)
F(x)=x^3

26. What is the domain for an absolute value function?
Conditional
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
(-infinity - +infinity)

27. What does the average rate of change formula solve?
Undefined slope
(-infinity - +infinity)
Y= then enter the number then press graph
The slope of a line containing two points

28. What type of line is a constant function?
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
Horizontal
Inconsistant

29. Is an identity function even - odd or neither?
Same
Odd
M
Zero slope

30. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Zero slope
X = the original sale price and the formula is x - .40x =$276
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 - 0]you[0 - +infinity)

31. What type of slope do you have when a line falls left to right and m<0?
Parabola
Even
Cannot be drawn in quizlet
Negative slope

32. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. 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
Horizontal right
X^2
F(x)=IxI

34. x=no real numbers is what type of an equation?
Function notation
Inconsistant
Y=10
The minimum or maximum points

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

36. What is the formula in both horizontal stretching and horizontal shrinking?
Identity
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)
Even

37. What is a constant function?
Only one
Down
Line ascending to the right gradually
F(x^1)=f(x^2)

38. What is the domain of a square root function?
[0 -+infinity)
20+.05x=5+.10x x=minutes
Odd
Parabola

39. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - 0]you[0 - +infinity)
In a quotient
Y
45 degree angle

40. Is an identity function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
Odd
The minimum or maximum points
Yes because two x's or domains can point to one y

41. standard absolute value - horizontal shift formulas for left and right
F(x)=suare root of x
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=x^3

42. $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?
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

43. What is a domain?
2nd catalog (zero key -) abs(x) - graph
The first set of components of an ordered pair
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 = the original sale price and the formula is x - .40x =$276

44. What is the domain of the cube root function?
Horizontal
As many as you like
(-infinity - +infinity)
Horizontal

45. Is the square root function odd - even or neither?
Absolute Value - Constant and Standard Quadratic
Neither
Parraelle line
Set the x and y to zero and get the intercepts and then plot the points

46. Why can h not equal zero in the difference of a quotient function formula?
1 -2 -3
Because the demintor of a quotient can never equal zero
Horizontal
Horizontal

47. 4x+5x=8x is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
In a quotient
X = the original sale price and the formula is x - .40x =$276

48. Draw or discuss an increasing function
Inconsitent
Cannot be drawn in quizlet
Zero slope
When does a graph not define y as a function of x?

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

50. What equation does every line have? Discuss the variables.
In a quotient
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.
1 -2 -3
Parraelle line