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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. x=no real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
Inconsistant
X = the original sale price and the formula is x - .40x =$276

2. 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
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent

3. What is the domain and range of a constant function?
In a quotient
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
1 -2 -3

4. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x)=IxI
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

5. Of the seven of algebra's common graph's how many are neither?
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b
Square Root

6. What type of line is a constant function?
Down
Horizontal
Same
4 -6 -9

7. What is the range of a square root function?
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
4 -6 -9

8. x=all real numbers is what type of an equation?
Y=x^2 - graph
Identity
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

9. What is the formula for the standard cubic function?
F(x)=x^3
Y=IxI
Negative inverse
Y=IxI

10. What type of slope do horizontal lines have?
2nd key - x^2 - graph
As many as you like
Same
Square Root

11. What is the formula for the cube root function?
Horizontal
F(x2)-f(x1) / x2-x1
F(x)=3 square root x
X math 3 graph

12. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - 0]you[0 - +infinity)
X=a
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y=x^2 - graph
F(x)=IxI
Same

14. x= a real number is what type of equation?
The opposite coordinates
Identity
Yes - all the domains points to one range
Conditional

15. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Down
(-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.

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

17. What does the absolute value function look like?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
A V

18. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Even
Postiive slope
(-infinity - +infinity)

19. What is a constant function?
Function notation
F(x^1)=f(x^2)
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic

20. Why can h not equal zero in the difference of a quotient function formula?
The opposite coordinates
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

21. What is the average rate of change formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
F(x2)-f(x1) / x2-x1

22. What is the formula for an absolute value function?
Horizontal
F(x) = x
Square Root
F(x)=IxI

23. What is a relation?
Any set of ordered pairs
Even
F(x)=3 square root x
Three odd - cube root - identity - standard cubic

24. Which direction does f(x)=+c move in standard absolute value 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.
Up
Same
Horizontal left

25. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes

26. What are the four steps for finding the inverse of a function?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
45 degree angle

27. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Square Root
Postiive slope
Undefined

28. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations
45 degree angle
As equations

29. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y= then enter the number then press graph
F(x2)-f(x1) / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero

30. What is the range of a square root function?
[0 -+infinity)
Function notation
As many as you like
Postiive slope

31. What is the range for the standard cubic function?
Even
Horizontal
(-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

32. What is the domain of a square root function?
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
[0 -+infinity)
20+.05x=5+.10x x=minutes

33. What is the range for the standard cubic function?
(-infinity - +infinity)
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Only one

34. What is the slope of a perpendicular line?
Down
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Square Root
Negative inverse

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

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36. Is an absolute value function even - odd or neither?
[0 -+infinity)
A line passing through two distinct points
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1

37. What does the average rate of change formula solve?
The slope of a line containing two points
F(x)=+c and f(x)-c
Piecewise
(-infinity - 0]you[0 - +infinity)

38. What is the domain of a square root function?
Parraelle line
M
Function notation
[0 -+infinity)

39. What are the calculator instructions for absolute value?
Inconsistant
2nd catalog (zero key -) abs(x) - graph
4 -6 -9
X math 3 graph

40. Is an identity function even - odd or neither?
X^2
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 opposite coordinates
Odd

41. Which direction does f(x+c) move
Equation of a line
Even
1 -2 -3
Horizontal left

42. What is the formula for the standard cubic function?
X=a
Y=x^2 - 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(x)=x^3

43. 4(x-7)=4x+28 is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
As equations
Math 4 x - graph

44. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
When does a graph not define y as a function of x?
As many as you like
4 -6 -9
Change in y / change in x = rise / run = y2-y1 / x2-x1

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?
Yes - all the domains points to one range

46. x= a real number is what type of equation?
Conditional
Y
2nd catalog (zero key -) abs(x) - graph
Perpendicular line

47. What is the formula for an identity function?
Even
The single number y=
F(x) = x
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.

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?
Cannot be drawn in quizlet
Parraelle line
Cannot be drawn in quizlet
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. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X = the original sale price and the formula is x - .40x =$276
Yes because two x's or domains can point to one y

50. 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?
Set the x and y to zero and get the intercepts and then plot the points
Only one
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x