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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 type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=3 square root x
Zero slope

2. What is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
F(x)=suare root of x
Negative slope

3. Why can h not equal zero in the difference of a quotient function formula?
[0 -+infinity)
Conditional
F(x)=IxI
Because the demintor of a quotient can never equal zero

4. What is the formula for an absolute value function?
Parabola - up one and right three
In a quotient
F(x)=IxI
(-infinity - +infinity)

5. x= a real number is what type of equation?
Conditional
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph

6. What is the range for the standard cubic function?
Horizontal
(-infinity - +infinity)
Yes - all the domains points to one range
The first set of components of an ordered pair

7. Of the seven of algebra's common graph's how many are neither?
Parabola - up one and right three
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
Conditional

8. What type of line is a constant function?
Y= then enter the number then press graph
Horizontal
Negative inverse
Horizontal left

9. Which direction does f(x+c) move
Horizontal left
Negative inverse
Y=IxI
X math 3 graph

10. Which direction does f(x-c) move
Perpendicular line
The opposite coordinates
Even
Horizontal right

11. What are the algebra of functions?
(-infinity - +infinity)
(-infinity - +infinity)
Even
(f+g) - (f-g) - (fg) - (f/g) all of x

12. What equation does every line have? Discuss the variables.
Absolute Value - Constant and Standard Quadratic
X is the hours to repair the boat. $1603-532=anwser/63 = x
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.
Piecewise

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X=a
1 -2 -3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Absolute Value - Constant and Standard Quadratic

14. Draw or discuss an increasing function
Odd
F of g and g of f
A V
Cannot be drawn in quizlet

15. What type of slope do you have when a line rises from left to right and m>0?
Identity
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero

16. $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?
Parabola
No because you cannot have one domain pointing at two y's or ranges
Negative slope
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

17. 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.
Any set of ordered pairs
As many as you like
Yes because two x's or domains can point to one y

18. 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^1)=f(x^2)
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 - 0]you[0 - +infinity)
Down

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

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20. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=b
Math 4 x - graph
The secant line
Parraelle line

21. 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
M
(-infinity - +infinity)
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

22. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Horizontal right

23. What is the domain for a standard quadratic function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
F(x+c) and f(x-c)
F(x)=IxI

24. What is the domain for an absolute value function?
A line passing through two distinct points
(-infinity - +infinity)
Down
X math 3 graph

25. What are the four steps for finding the inverse of a function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsistant

26. What can never equal zero in the slope formula and why?
Conditional
Odd
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

27. What can we substitute for f(x)?
Y
Y=10
The single number y=
Change in y / change in x = rise / run = y2-y1 / x2-x1

28. What are two examples of composit functions?
Math 4 x - graph
Parraelle line
F(x) = x
F of g and g of f

29. x=no real numbers is what type of an equation?
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
X^2

30. What is the letter used to represent slope?
Math 4 x - graph
Line ascending to the right gradually
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.
M

31. Is the square root function odd - even or neither?
Y= then enter the number then press graph
Same
Neither
F(x+c) and f(x-c)

32. 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
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

33. What are the four steps for solving a linear equation?
Y=b
Math 4 x - graph
45 degree angle
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.

34. What is a constant function?
The minimum or maximum points
Y=b
F(x^1)=f(x^2)
X math 3 graph

35. What type of line is a constant function?
Horizontal
Postiive slope
The slope of a line containing two points
Square Root

36. What is the formula for the cube root function?
Any set of ordered pairs
F(x)=3 square root x
Y
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.

37. What are the calculator instructions for a standard quadratic equation?
Horizontal right
4 -6 -9
Y=x^2 - graph
[0 -+infinity)

38. What points do you use to plot the inverse on a graph?
The opposite coordinates
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant

39. What are the calculator instructions for absolute value?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

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

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41. Of the seven of algebra's common graph's how many are even?
Down
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Absolute Value - Constant and Standard Quadratic
Conditional

42. standard absolute value - vertical shift formulas for positve and negative
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.
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
0<c<1 - horizontal stretching

43. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Negative slope
Zero slope
4 -6 -9
0<c<1 - horizontal stretching

44. When is the only time (-infinity - +infinity) is not the domain?
F(x) = x
In a quotient
Conditional
2nd catalog (zero key -) abs(x) - graph

45. standard absolute value - horizontal shift formulas for left and right
F(x)=x^3
Up
F(x+c) and f(x-c)
Cannot be drawn in quizlet

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Postiive 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.
4 -6 -9

47. How would this formula move f(x)=(x+1)^2-3
Y=IxI
X^2
Even
Parabola - up one and right three

48. What type of slope do horizontal lines have?
Yes because two x's or domains can point to one y
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same

49. What type of slope do horizontal lines have?
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic
Same
As many as you like

50. What is the domain of the cube root function?
Odd
X=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)