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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 for an absolute value function?
The slope of a line containing two points
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

2. Which direction does f(x-c) move
Horizontal right
Even
Function notation
Negative inverse

3. Why can h not equal zero in the difference of a quotient function formula?
45 degree angle
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)
Three odd - cube root - identity - standard cubic

4. What is the domain of the cube root function?
(-infinity - +infinity)
The slope of a line containing two points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y

5. What are the steps for solving a word problem?
F(x2)-f(x1) / x2-x1
The secant line
(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

6. What is the range for a standard quadratic function?
Undefined
Only one
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)

7. What direction does f(x)-c move in standard absolute value formula?
Approach neg toward x through zero and above positive close to x
1 -2 -3
Undefined
Down

8. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y= then enter the number then press graph
(-infinity - +infinity)
Horizontal right

9. Draw or discuss an increasing function
2nd key - x^2 - graph
(-infinity - +infinity)
Cannot be drawn in quizlet
(-infinity - +infinity)

10. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
Even
Three odd - cube root - identity - standard cubic
The opposite coordinates

11. What is the domain of an identity function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Inconsistant
Negative inverse

12. Is a standard quadratic function even - odd or neither?
45 degree angle
The opposite coordinates
Even
Down

13. What type of slope do vertical lines have?
Undefined
F(x)=x^3
Y=b
C>1 - horizontal shrinking

14. What is the domain for the standard cubic function?
Identity
45 degree angle
(-infinity - +infinity)
F(x)=x^3

15. What is a range?
45 degree angle
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= then enter the number then press graph
The second set of components of an ordered pair

16. What is the domain of an identity function?
(-infinity - +infinity)
Identity
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 - 0]you[0 - +infinity)

17. 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
Parabola
Cannot be drawn in quizlet
Inconsitent

18. What is the range of the cube root function?
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
(-infinity - +infinity)
Inconsitent

19. Is the square root function odd - even or neither?
Y
Neither
Even
Horizontal

20. What type of slope do you have when the line is horizontal and m=0?
In a quotient
Y=b
Inconsistant
Zero slope

21. Which direction does f(x-c) move
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

22. 4(x-7)=4x-28 is what type of an equation?
Conditional
Undefined slope
Down
Identity

23. $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
Only one
Horizontal right
Conditional

24. x=all real numbers is what type of an equation?
Identity
45 degree angle
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

25. What is the formula for an identity function?
Mirror image neg quadrant to that of the positive quandrant
Inconsistant
F(x) = x
Perpendicular line

26. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
C>1 - horizontal shrinking
Square Root
Y=x^2 - graph

27. What can never equal zero in the slope formula and why?
[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.
Y=b
X2-x1 because the demonaitor of a quotient can never equal zero

28. What type of slope do you have when m=? and the line is vertical?
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
Undefined slope

29. What type of slope do horizontal lines have?
Same
Neither
A line passing through two distinct points
X is the hours to repair the boat. $1603-532=anwser/63 = x

30. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
F(x)=3 square root x
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

31. What is the formula for an absolute value function?
F(x)=x^3
F(x)=IxI
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.
Cannot be drawn in quizlet

32. What does linear equation mean?
X=a
Perpendicular line
Equation of a line
Yes because two x's or domains can point to one y

33. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
45 degree angle
F(x^1)=f(x^2)
Down

34. What are the four steps for solving a linear equation?
When does a graph not define y as a function of x?
Identity
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.
0<c<1 - horizontal stretching

35. What type of slope do you have when the line is horizontal and m=0?
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
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
Line ascending to the right gradually
Zero slope

36. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Same
A V
Up

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Undefined
Inconsitent
Function notation

38. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
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.
As equations
Set the x and y to zero and get the intercepts and then plot the points

39. Is the standard cubic function odd - even or neither?
Undefined
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The single number y=

40. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y
X is the hours to repair the boat. $1603-532=anwser/63 = x

41. What type of line is an identity function?
45 degree angle
20+.05x=5+.10x x=minutes
[0 -+infinity)
Function notation

42. What does the absolute value function look like?
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V
Y=IxI

43. What is the range of an identity function?
(-infinity - +infinity)
A line passing through two distinct points
Zero slope
Identity

44. What is the range for the standard cubic function?
Identity
F(x2)-f(x1) / x2-x1
As equations
(-infinity - +infinity)

45. What is the range of the constant function?
When does a graph not define y as a function of x?
F(x^1)=f(x^2)
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. What is the slope intercept formula? Define all the variables.
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
45 degree angle

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

48. What direction does f(x)-c move in standard absolute value formula?
M
Same
Down
Inconsitent

49. Is an absolute value function even - odd or neither?
Piecewise
Even
Horizontal
(-infinity - +infinity)

50. What is the formula for the standard cubic function?
Even
Y=IxI
2nd key - x^2 - graph
F(x)=x^3