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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 are the algebra of functions?
Only one
(f+g) - (f-g) - (fg) - (f/g) all of x
Down
F(x)=x^3

2. Is an absolute value function even - odd or neither?
Y=x^2 - graph
Undefined slope
Odd
Even

3. 4(x-7)=4x-28 is what type of an equation?
Any set of ordered pairs
Y= then enter the number then press graph
X=a
Identity

4. What type of line is an identity function?
Conditional
X=a
45 degree angle
Horizontal

5. What is the domain and range of a constant function?
F(x) = x
(-infinity - +infinity)
The first set of components of an ordered pair
A V

6. What can never equal zero in the slope formula and why?
The second set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. Is a standard quadratic function even - odd or neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Even
Horizontal right
(-infinity - +infinity)

8. What is the formula for the standard cubic function?
The single number y=
F of g and g of f
F(x+h)-f(x)/h h cannot equal zero
F(x)=x^3

9. $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
(-infinity - 0]you[0 - +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.
1 -2 -3

10. What does the square root function look like on a graph?
Undefined slope
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
The opposite coordinates

11. What is the average rate of change formula?
F(x)=suare root of x
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1
Even

12. What are the calculator instructions for a standard quadratic equation?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
Identity

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Even
Perpendicular line
Conditional

14. What type of slope do you have when m=? and the line is vertical?
1 -2 -3
Undefined slope
Approach neg toward x through zero and above positive close to x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. What shape is the standard quadratic function?
Parabola
Equation of a line
Postiive slope
X math 3 graph

16. What type of line is a constant function?
F(x+c) and f(x-c)
Horizontal
F(x2)-f(x1) / x2-x1
F(x2)-f(x1) / x2-x1

17. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Even
Parabola - up one and right three
Undefined slope

18. How do you graph Ax+By+C=0?
F(x+c) and f(x-c)
Negative slope
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points

19. What are the calculator instructions for absolute value?
F(x+c) and f(x-c)
F(x)=3 square root x
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3

20. What is the formula in both horizontal stretching and horizontal shrinking?
Parabola
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
The opposite coordinates

21. What direction does f(x)-c move in standard absolute value formula?
No because you cannot have one domain pointing at two y's or ranges
Down
Perpendicular line
45 degree angle

22. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=x - identity function
X math 3 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

23. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Identity
Y=IxI
Any set of ordered pairs

24. What type of function would you use to calculate the most advantageous cell phone plan?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet
Piecewise
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

25. standard absolute value - horizontal shift formulas for left and right
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)
Yes because two x's or domains can point to one y
(-infinity - +infinity)

26. What can we substitute for f(x)?
Parabola
Y
Identity
Cannot be drawn in quizlet

27. Of the seven of algebra's common graph's how many are neither?
Even
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
Square Root

28. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x+c) and f(x-c)
Perpendicular line
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
Y=x^2 - graph

29. What direction does f(x)-c move in standard absolute value formula?
Y
Square Root
Equation of a line
Down

30. What is another way of writing the absolute value function?
Postiive slope
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Y=IxI

31. What equation does every line have? Discuss the variables.
The first set of components of an ordered pair
F(x) = x
F(x)=IxI
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.

32. What is an identity function?
Horizontal
Because the demintor of a quotient can never equal zero
45 degree angle
Mirror image neg quadrant to that of the positive quandrant

33. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
(-infinity - +infinity)
F(x)=3 square root 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

34. What is the range for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
Down
The secant line
(-infinity - 0]you[0 - +infinity)

35. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Up
Postiive slope
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

36. When is the only time (-infinity - +infinity) is not the domain?
Only one
In a quotient
The second set of components of an ordered pair
Equation of a line

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
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.
4 -6 -9
X math 3 graph

38. What are the calculator instructions for the cube root function?
Parabola - up one and right three
Same
Math 4 x - graph
(-infinity - +infinity)

39. What is the domain of a square root function?
[0 -+infinity)
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
Horizontal

40. 4(x-7)=4x-28 is what type of an equation?
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Identity

41. Of the seven of algebra's common graph's how many are neither?
Square Root
Horizontal left
No because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x

42. y=f(cx) What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
The slope of a line containing two points
0<c<1 - horizontal stretching

43. What points do you use to plot the inverse on a graph?
Cannot be drawn in quizlet
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=3 square root x

44. What is the range of the constant function?
The single number y=
Perpendicular line
Y=x - identity function
Three odd - cube root - identity - standard cubic

45. What is another way to write f(x)=x - what type of function is this?
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.
(-infinity - +infinity)
Y=x - identity function
The single number y=

46. What can we substitute for f(x)?
Y
Three odd - cube root - identity - standard cubic
Odd
As many as you like

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=10
Horizontal left
Undefined
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

48. What are the four steps for finding the inverse of a function?
(f+g) - (f-g) - (fg) - (f/g) all of x
X^2
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. What points do you use to plot the inverse on a graph?
The single number y=
The opposite coordinates
4 -6 -9
(-infinity - 0]you[0 - +infinity)

50. Draw or discuss a decreasing function
Cannot be drawn in quizlet
X math 3 graph
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero