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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 a domain?
Because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
The first set of components of an ordered pair
Even

2. 4(x-7)=4x-28 is what type of an equation?
M
(-infinity - +infinity)
Identity
Postiive slope

3. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
The opposite coordinates
Even

4. Draw or discuss a constant function
Cannot be drawn in quizlet
Neither
(-infinity - +infinity)
In a quotient

5. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
Function notation
X = the original sale price and the formula is x - .40x =$276

6. What is the vertical line formula?
X=a
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)

7. Which direction does f(x)=+c move in standard absolute value formula?
Up
2nd key - x^2 - graph
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

8. What does the square root function look like on a graph?
Line ascending to the right gradually
4 -6 -9
Y=b
[0 -+infinity)

9. What are the calculator instructions for a square root function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs
2nd key - x^2 - graph

10. What are the calculator instructions for the standard cubic function?
X math 3 graph
The minimum or maximum points
When does a graph not define y as a function of x?
F(x^1)=f(x^2)

11. What does the average rate of change formula solve?
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.
The slope of a line containing two points
Postiive slope
(-infinity - +infinity)

12. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
[0 -+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
2nd catalog (zero key -) abs(x) - graph

13. x= a real number is what type of equation?
Parabola - up one and right three
Conditional
Because the demintor of a quotient can never equal zero
Line ascending to the right gradually

14. Is the standard cubic function odd - even or neither?
Undefined slope
As many as you like
Odd
The first set of components of an ordered pair

15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=x - identity function
When does a graph not define y as a function of x?
Piecewise

16. 4x+5x=8x is what type of an equation?
20+.05x=5+.10x x=minutes
Conditional
The opposite coordinates
C>1 - horizontal shrinking

17. What is slope?
A line passing through two distinct points
Horizontal
(-infinity - +infinity)
M

18. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - 0]you[0 - +infinity)
Postiive slope
(-infinity - +infinity)
Cannot be drawn in quizlet

19. x=all real numbers is what type of an equation?
Identity
Cannot be drawn in quizlet
X math 3 graph
The slope of a line containing two points

20. What is the domain for a standard quadratic function?
(-infinity - +infinity)
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
F(x)=suare root of x

21. x=no real numbers is what type of an equation?
Function notation
Y=x - identity function
Inconsistant
Even

22. Is a constant function even - odd or neither?
Even
Parabola - up one and right three
1 -2 -3
Square Root

23. What are two examples of composit functions?
Identity
A V
(-infinity - 0]you[0 - +infinity)
F of g and g of f

24. What type of line is an identity function?
F(x+h)-f(x)/h h cannot equal zero
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle

25. Draw or discuss a decreasing function
Horizontal left
Up
Y
Cannot be drawn in quizlet

26. What is the domain of an identity function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant
[0 -+infinity)
(-infinity - +infinity)

27. What type of line is an identity function?
The minimum or maximum points
F(x)=x^3
45 degree angle
F(x)=+c and f(x)-c

28. What is the formula for the standard cubic function?
The slope of a line containing two points
F(x^1)=f(x^2)
Y=b
F(x)=x^3

29. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
The single number y=
Negative slope
As equations

30. What is the horizontal line formula?
As many as you like
Parraelle line
Y=b
Up

31. $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?
2nd key - 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
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.
X is the hours to repair the boat. $1603-532=anwser/63 = x

32. What is the domain and range of a constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
Conditional

33. What type of slope do vertical lines have?
Undefined
X=a
Even
Only one

34. What is the formula for the cube root function?
Inconsitent
Horizontal right
Parraelle line
F(x)=3 square root x

35. What type of slope do horizontal lines have?
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
Same
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined slope

36. 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?
Function notation
Equation of a line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity

37. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Odd
Piecewise
45 degree angle

38. What is the average rate of change formula?
F(x+h)-f(x)/h h cannot equal zero
Mirror image neg quadrant to that of the positive quandrant
Horizontal left
F(x2)-f(x1) / x2-x1

39. What is a relation?
Any set of ordered pairs
Parraelle line
Y=10
Identity

40. Is the square root function odd - even or neither?
Parabola
Cannot be drawn in quizlet
F(x+c) and f(x-c)
Neither

41. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Set the x and y to zero and get the intercepts and then plot the points
Equation of a line
4 -6 -9
As equations

42. How are functions normally written?
In a quotient
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
As equations

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X=a
M

44. 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
The second set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges
1 -2 -3

45. What is another way to write f(x)=x - what type of function is this?
Horizontal left
Y=x - identity function
Only one
Parraelle line

46. What is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
A line passing through two distinct points
Horizontal

47. Of the seven of algebra's common graph's how many are odd?
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
Even

48. Is the square root function odd - even or neither?
Same
M
Neither
(-infinity - +infinity)

49. What is the domain for an absolute value function?
M
Inconsitent
(-infinity - +infinity)
Parabola - up one and right three

50. What is the domain of a square root function?
Negative slope
[0 -+infinity)
As many as you like
The secant line