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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 domain and range of a constant function?
F(x+c) and f(x-c)
(-infinity - +infinity)
Conditional
Square Root

2. Two vertical lines side by side are a symbol for what
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
Parraelle line
X^2
F(x)=x^3

3. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
45 degree angle
Zero slope
When does a graph not define y as a function of x?

4. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Parabola
Identity

5. Is the square root function odd - even or neither?
X math 3 graph
Neither
(-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

6. What type of slope do horizontal lines have?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Same
F(x) = x

7. When is the only time (-infinity - +infinity) is not the domain?
The secant line
In a quotient
Math 4 x - graph
Cannot be drawn in quizlet

8. What is the vertical line formula?
Y=IxI
M
X=a
Function notation

9. In an identity function if f(10)=x than What is y?
Y=10
Y=x^2 - graph
0<c<1 - horizontal stretching
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

10. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y=x^2 - graph
Inconsistant
Horizontal

11. What is the domain of a square root function?
Even
As equations
4 -6 -9
[0 -+infinity)

12. What shape is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function
Parabola
1 -2 -3

13. What are the four steps for finding the inverse of a function?
Horizontal left
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

14. What is the letter used to represent slope?
M
Y= then enter the number then press graph
Undefined
Horizontal

15. What can we substitute for f(x)?
[0 -+infinity)
Y
Zero slope
X math 3 graph

16. What is the formula for the standard cubic function?
X=a
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
When does a graph not define y as a function of x?
F(x)=x^3

17. Draw or discuss a decreasing function
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
Y
Horizontal

18. Of the seven of algebra's common graph's how many are even?
Conditional
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph

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

20. What is the horizontal line formula?
Y=IxI
Y=b
Cannot be drawn in quizlet
Inconsistant

21. What are the calculator instructions for a standard quadratic equation?
Line ascending to the right gradually
(-infinity - +infinity)
Y=x^2 - graph
X = the original sale price and the formula is x - .40x =$276

22. What does the absolute value function look like?
Postiive slope
Piecewise
The minimum or maximum points
A V

23. What is a range?
X=a
The opposite coordinates
The second set of components of an ordered pair
F(x)=IxI

24. What is the average rate of change formula?
Even
Y=10
F(x2)-f(x1) / x2-x1
F(x+h)-f(x)/h h cannot equal zero

25. Two vertical lines side by side are a symbol for what
Because the demintor of a quotient can never equal zero
Parraelle line
The minimum or maximum points
A line passing through two distinct points

26. What is the range for an absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y
Perpendicular line
(-infinity - 0]you[0 - +infinity)

27. x=all real numbers is what type of an equation?
Even
Identity
The slope of a line containing two points
When does a graph not define y as a function of x?

28. What can never equal zero in the slope formula and why?
Inconsistant
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line

29. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
A line passing through two distinct points
Yes - all the domains points to one range
(-infinity - +infinity)

30. What is the formula for slope?
4 -6 -9
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola - up one and right three

31. What does the average rate of change formula solve?
F(x)=x^3
Inconsitent
Any set of ordered pairs
The slope of a line containing two points

32. What are the four steps for solving a linear equation?
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
(-infinity - +infinity)
(-infinity - +infinity)

33. 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
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
Equation of a line
Y

34. What are two examples of composit functions?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F of g and g of f
(-infinity - 0]you[0 - +infinity)
Only one

35. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
As many as you like
F(x)=x^3
Inconsistant

36. What does the standard cubic function look like on a graph?
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Yes because two x's or domains can point to one y

37. How do you graph Ax+By+C=0?
Math 4 x - graph
F(x) = x
Function notation
Set the x and y to zero and get the intercepts and then plot the points

38. What is a domain?
Odd
The first set of components of an ordered pair
F(x)=+c and f(x)-c
F(x)=x^3

39. What does the standard cubic function look like on a graph?
Even
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x

40. Which direction does f(x)=+c move in standard absolute value formula?
Y=10
Up
Conditional
F of g and g of f

41. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x

42. What is the horizontal line formula?
As many as you like
Y=b
(-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

43. What is the domain of a square root function?
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.
[0 -+infinity)
Y=x^2 - graph
F(x^1)=f(x^2)

44. What is the formula for the cube root function?
Neither
Even
F(x)=3 square root x
Yes because two x's or domains can point to one y

45. What is the range of an identity function?
Horizontal right
Down
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

46. 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) = 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
F(x)=x^3
Horizontal

47. Is a standard quadratic function even - odd or neither?
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
20+.05x=5+.10x x=minutes

48. x=all real numbers is what type of an equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
F(x)=suare root of x
Identity

49. What is the domain of the cube root function?
The single number y=
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Even

50. 4x+5x=8x is what type of an equation?
Down
Set the x and y to zero and get the intercepts and then plot the points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional