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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 range of the constant function?
Parraelle line
Inconsistant
The single number y=
Any set of ordered pairs

2. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Mirror image neg quadrant to that of the positive quandrant
2nd key - x^2 - graph
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.

3. What does the square root function look like on a graph?
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
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually

4. What is the formula for an identity function?
(-infinity - +infinity)
F(x) = x
Inconsistant
Y

5. Of the seven of algebra's common graph's how many are neither?
Up
Parabola - up one and right three
Square Root
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

6. What does the square root function look like on a graph?
Equation of a line
Line ascending to the right gradually
C>1 - horizontal shrinking
F(x+c) and f(x-c)

7. Which direction does f(x-c) move
Math 4 x - graph
Horizontal right
Equation of a line
45 degree angle

8. What is a domain?
Even
The first set of components of an ordered pair
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
Neither

9. What are the steps for solving a word problem?
The slope of a line containing two points
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
F(x+c) and f(x-c)
When does a graph not define y as a function of x?

10. What is the vertical line formula?
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=
X=a

11. What are the calculator instructions for a square root function?
Inconsistant
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
Zero slope

12. What is a relation?
X = the original sale price and the formula is x - .40x =$276
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.
Only one
Any set of ordered pairs

13. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
X = the original sale price and the formula is x - .40x =$276
Inconsistant

14. What are the steps for solving a word problem?
F(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of 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
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.

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. standard absolute value - vertical shift formulas for positve and negative
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x
The secant line
F(x)=+c and f(x)-c

17. What is the domain and range of a constant function?
Even
Odd
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

18. What are two examples of composit functions?
F of g and g of f
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Zero slope
(-infinity - 0]you[0 - +infinity)

19. How do you calculate a constant function in your calculator?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
(-infinity - +infinity)

20. What is the vertex?
The minimum or maximum points
Inconsistant
20+.05x=5+.10x x=minutes
In a quotient

21. What type of line is a constant function?
Piecewise
The minimum or maximum points
Horizontal
Cannot be drawn in quizlet

22. What is the standard quadratic function?
Postiive slope
X^2
Odd
Parabola - up one and right three

23. What can never equal zero in the slope formula and why?
4 -6 -9
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points

24. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
X^2
(-infinity - +infinity)
Odd

25. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
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)

26. x=all real numbers is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Math 4 x - graph
Identity

27. Of the seven of algebra's common graph's how many are neither?
Parabola - up one and right three
X^2
Square Root
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

28. How are functions normally written?
Horizontal
Cannot be drawn in quizlet
F(x) = x
As equations

29. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
When does a graph not define y as a function of x?
M
(-infinity - +infinity)

30. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
Identity
Zero 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

31. What does the average rate of change formula solve?
Neither
Parabola - up one and right three
The slope of a line containing two points
Math 4 x - graph

32. What type of slope do vertical lines have?
Math 4 x - graph
No because you cannot have one domain pointing at two y's or ranges
Undefined
F(x)=suare root of x

33. What does the absolute value function look like?
F of g and g of f
A V
F(x+c) and f(x-c)
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

34. What are two examples of composit functions?
Because the demintor of a quotient can never equal zero
F of g and g of f
Odd
Square Root

35. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Odd
Up
Y=10
4 -6 -9

36. What is the domain for a standard quadratic function?
Function notation
Neither
(-infinity - +infinity)
Inconsistant

37. What type of function would you use to calculate the most advantageous cell phone plan?
In a quotient
Parabola
The slope of a line containing two points
Piecewise

38. What is the domain for a standard quadratic function?
Only one
0<c<1 - horizontal stretching
(-infinity - +infinity)
F of g and g of f

39. What is the domain of an identity function?
(-infinity - +infinity)
The minimum or maximum points
Down
45 degree angle

40. Draw or discuss an increasing function
Cannot be drawn in quizlet
Function notation
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points

41. What is the vertex?
Three odd - cube root - identity - standard cubic
The minimum or maximum points
45 degree angle
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.

42. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Up
C>1 - horizontal shrinking
Yes - all the domains points to one range

43. What is the range of an identity function?
Y
(-infinity - +infinity)
Even
Undefined

44. What is the range of the constant function?
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=
Horizontal right

45. What is another way to write f(x)=x - what type of function is this?
Set the x and y to zero and get the intercepts and then plot the points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Same
Y=x - identity function

46. What type of slope do you have when a line falls left to right and m<0?
Identity
C>1 - horizontal shrinking
Negative slope
The opposite coordinates

47. What is the formula for the square root function?
F(x)=suare root of x
The slope of a line containing two points
C>1 - horizontal shrinking
When does a graph not define y as a function of x?

48. $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?
(-infinity - +infinity)
Y=x^2 - graph
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

49. x=no real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
Inconsistant
Even

50. How many domains can you have pointing to one range?
20+.05x=5+.10x x=minutes
As many as you like
F(x+h)-f(x)/h h cannot equal zero
F of g and g of f