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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 does linear equation mean?
Equation of a line
Perpendicular line
Even
Y=x - identity function

2. Draw or discuss a decreasing function
Any set of ordered pairs
Up
Cannot be drawn in quizlet
The slope of a line containing two points

3. What shape is the standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
Horizontal left
Y= then enter the number then press graph
Parabola

4. What does linear equation mean?
Yes because two x's or domains can point to one y
No because you cannot have one domain pointing at two y's or ranges
Equation of a line
Even

5. Of the seven of algebra's common graph's how many are neither?
Parabola - up one and right three
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
Square Root

6. What is the vertical line test?
Because the demintor of a quotient can never equal zero
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph
No because you cannot have one domain pointing at two y's or ranges

7. Why can h not equal zero in the difference of a quotient function 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.
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=x^3

8. Which direction does f(x)=+c move in standard absolute value formula?
The single number y=
Up
(f+g) - (f-g) - (fg) - (f/g) all of 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

9. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Parabola - up one and right three
M
A V

10. Draw or discuss a constant function
Cannot be drawn in quizlet
Y=IxI
Y= then enter the number then press 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

11. What is a constant function?
Even
Y=b
Piecewise
F(x^1)=f(x^2)

12. What is the formula for the cube root function?
20+.05x=5+.10x x=minutes
F(x)=3 square root x
(-infinity - +infinity)
(-infinity - +infinity)

13. What does the graph of the cube root function look like on the graph?
A V
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero

14. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
Down
Y= then enter the number then press graph

15. Of the seven of algebra's common graph's how many are even?
F(x)=suare root of x
The first set of components of an ordered pair
2nd key - x^2 - graph
Absolute Value - Constant and Standard Quadratic

16. What is a relation?
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x

17. What is the vertex?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola
The minimum or maximum points

18. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
Undefined slope
Piecewise

19. 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
Undefined
Horizontal
Piecewise

20. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
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.
F(x^1)=f(x^2)
Yes because two x's or domains can point to one y

21. Is a standard quadratic function even - odd or neither?
Only one
Neither
Even
Y

22. What is the domain for the standard cubic function?
When does a graph not define y as a function of x?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

23. What is the vertical line formula?
X=a
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
Same
(-infinity - +infinity)

24. What does the square root function look like on a graph?
Approach neg toward x through zero and above positive close to x
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
Yes because two x's or domains can point to one y

25. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Y=x - identity function
Yes - all the domains points to one range
(-infinity - +infinity)

26. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
Y=IxI
Even
(-infinity - +infinity)

27. What is the standard quadratic function?
The single number y=
Odd
X^2
Absolute Value - Constant and Standard Quadratic

28. What is the domain of the cube root function?
As many as you like
2nd key - x^2 - graph
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 - +infinity)

29. 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 math 3 graph
The first set of components of an ordered pair
(-infinity - +infinity)

30. What is the formula for slope?
Even
A line passing through two distinct points
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What is the range for an absolute value function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Same
Y= then enter the number then press graph

32. Is a constant function even - odd or neither?
Function notation
Even
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

33. What is the domain of a square root function?
In a quotient
Negative slope
[0 -+infinity)
Negative inverse

34. What type of slope do horizontal lines have?
Piecewise
(-infinity - +infinity)
Same
Three odd - cube root - identity - standard cubic

35. What does the square root function look like on a graph?
The slope of a line containing two points
Y=x - identity function
Line ascending to the right gradually
Equation of a line

36. What is the formula for the square root function?
F(x)=suare root of x
Y=IxI
Horizontal
Because the demintor of a quotient can never equal zero

37. When is the only time (-infinity - +infinity) is not the domain?
The second set of components of an ordered pair
In a quotient
Same
Line ascending to the right gradually

38. How are functions normally written?
F(x+c) and f(x-c)
As equations
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

39. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
Piecewise

40. $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?
0<c<1 - horizontal stretching
2nd key - x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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

41. What is a domain?
Any set of ordered pairs
Y
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)

42. What is the domain and range of a constant function?
(-infinity - +infinity)
Negative slope
The minimum or maximum points
2nd key - x^2 - graph

43. What are the algebra of functions?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

44. Of the seven of algebra's common graph's how many are odd?
F(x+c) and f(x-c)
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
Three odd - cube root - identity - standard cubic
F(x+c) and f(x-c)

45. What are the calculator instructions for a standard quadratic equation?
Equation of a line
45 degree angle
Y=x^2 - graph
Only one

46. What is another way of writing the absolute value function?
Parabola
X=a
Y=IxI
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

47. Which direction does f(x-c) move
The second set of components of an ordered pair
Horizontal right
Y=x^2 - graph
Conditional

48. What is the formula for an absolute value function?
Piecewise
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
Function notation
F(x)=IxI

49. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Equation of a line
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
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.

50. Is an absolute value function even - odd or neither?
Even
[0 -+infinity)
Y=b
(-infinity - +infinity)