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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. How many ranges can you have for each domain?
Parabola
Y=IxI
Odd
Only one

2. What is the domain and range of a constant function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
Negative inverse

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

4. What type of line is a constant function?
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Because the demintor of a quotient can never equal zero
Horizontal

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

6. What is the formula for to calculate the difference of a quotient function?
As equations
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
C>1 - horizontal shrinking

7. y=f(cx) - What does this formula represent?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Same
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking

8. What is another way of writing the absolute value function?
Y=IxI
As equations
X = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

9. What direction does f(x)-c move in standard absolute value formula?
Only one
As many as you like
Down
[0 -+infinity)

10. What is the formula in both horizontal stretching and horizontal shrinking?
Same
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant

11. What does linear equation mean?
(f+g) - (f-g) - (fg) - (f/g) all of x
Perpendicular line
Equation of a line
(-infinity - 0]you[0 - +infinity)

12. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

13. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Math 4 x - graph
20+.05x=5+.10x x=minutes
Piecewise
Conditional

14. What type of slope do you have when the line is horizontal and m=0?
Down
4 -6 -9
Inconsitent
Zero slope

15. What type of slope do vertical lines have?
The secant 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.
Undefined
Piecewise

16. What is the vertical line formula?
Down
4 -6 -9
X=a
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

17. What is the vertical 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.
The slope of a line containing two points
X=a
Yes because two x's or domains can point to one y

18. Is a standard quadratic function even - odd or neither?
Postiive slope
Even
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

19. What type of slope do horizontal lines have?
Undefined
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero
Same

20. Of the seven of algebra's common graph's how many are neither?
Line ascending to the right gradually
Conditional
Undefined
Square Root

21. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
Zero slope
Line ascending to the right gradually

22. What is the formula for the cube root function?
Only one
F of g and g of f
F(x^1)=f(x^2)
F(x)=3 square root x

23. What is the formula for to calculate the difference of a quotient function?
F(x)=+c and f(x)-c
Horizontal left
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero

24. What is slope?
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
Down
X^2
A line passing through two distinct points

25. What is the domain and range of a constant function?
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
Same
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. x=no real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Inconsistant
Set the x and y to zero and get the intercepts and then plot the points

27. What is the range of the constant function?
(-infinity - +infinity)
The single number y=
Identity
Perpendicular line

28. What type of line is a constant function?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points
Negative inverse

29. What is the horizontal line formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
Y=b
F(x) = x

30. 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.
Zero slope
Y= then enter the number then press graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

31. What is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

32. What are two examples of composit functions?
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)
F of g and g of f

33. What is the point slope formula and when do you use it?
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.
Undefined

34. What is the range of the constant function?
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
In a quotient
The single number y=
F of g and g of f

35. x=all real numbers is what type of an equation?
Odd
Identity
F(x)=x^3
F of g and g of f

36. 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)
F(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Square Root
Identity

38. Is the square root function odd - even or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Up
Neither
F(x+h)-f(x)/h h cannot equal zero

39. What does the absolute value function look like?
A V
F(x)=+c and f(x)-c
Neither
X2-x1 because the demonaitor of a quotient can never equal zero

40. 4(x-7)=4x-28 is what type of an equation?
Identity
Cannot be drawn in quizlet
(-infinity - +infinity)
Negative inverse

41. What is a function?
The minimum or maximum points
(-infinity - +infinity)
Identity
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. What type of line is an identity function?
45 degree angle
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

43. What is the standard quadratic function?
X^2
Even
F(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

44. What type of slope do you have when m=? and the line is vertical?
Undefined slope
X^2
(-infinity - +infinity)
A line passing through two distinct points

45. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=x^2 - graph
Y= then enter the number then press graph
(-infinity - +infinity)

46. What is the range of an identity function?
45 degree angle
Undefined slope
Negative slope
(-infinity - +infinity)

47. x= a real number is what type of equation?
Even
20+.05x=5+.10x x=minutes
Conditional
X2-x1 because the demonaitor of a quotient can never equal zero

48. What is the domain of the cube root function?
(-infinity - +infinity)
Identity
F(x)=suare root of x
Undefined slope

49. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
In a quotient
Identity

50. What is the range for a standard quadratic function?
The second set of components of an ordered pair
Parraelle line
(-infinity - 0]you[0 - +infinity)
Only one