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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. 4(x-7)=4x-28 is what type of an equation?
Parraelle line
Piecewise
Identity
The secant line

2. What is the formula for the square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)

3. What is the domain and range of a constant function?
X math 3 graph
(-infinity - +infinity)
Square Root
F(x)=suare root of x

4. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - 0]you[0 - +infinity)
X=a
(-infinity - +infinity)

5. What is the slope intercept formula? Define all the variables.
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
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal right

6. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
The slope of a line containing two points
The first set of components of an ordered pair
Identity

7. What is the formula for slope?
Negative slope
In a quotient
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1

8. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Conditional
As many as you like
20+.05x=5+.10x x=minutes
When does a graph not define y as a function of x?

9. What is a relation?
Identity
(-infinity - +infinity)
Zero slope
Any set of ordered pairs

10. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
F(x)=IxI
Postiive slope

11. What can never equal zero in the slope formula and why?
Y
Y=IxI
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3

12. What are the calculator instructions for absolute value?
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
M
F of g and g of f

13. What is the average rate of change formula?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1

14. y=f(cx) - What does this formula represent?
Conditional
Y=x^2 - graph
C>1 - horizontal shrinking
Parraelle line

15. A flat line underlining one vertical line is a symbol for...
Perpendicular line
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points

16. What type of function would you use to calculate the most advantageous cell phone plan?
When does a graph not define y as a function of x?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise
Identity

17. standard absolute value - horizontal shift formulas for left and right
Negative slope
Y= then enter the number then press graph
F(x+c) and f(x-c)
Postiive slope

18. Is the square root function odd - even or neither?
Parraelle line
Neither
Any set of ordered pairs
Cannot be drawn in quizlet

19. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Odd
Absolute Value - Constant and Standard Quadratic
Three odd - cube root - identity - standard cubic

20. What is the vertical line test?
Neither
Inconsitent
When does a graph not define y as a function of x?
Line ascending to the right gradually

21. What is the range for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Zero slope

22. Draw or discuss an increasing function
The first set of components of an ordered pair
Negative inverse
(-infinity - +infinity)
Cannot be drawn in quizlet

23. What are the calculator instructions for the standard cubic function?
X=a
X math 3 graph
Undefined slope
Yes - all the domains points to one range

24. What type of slope do you have when the line is horizontal and m=0?
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
Down

25. How many ranges can you have for each domain?
Even
When does a graph not define y as a function of x?
Neither
Only one

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

27. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

28. What is slope?
F(x)=3 square root x
A line passing through two distinct points
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What does the average rate of change formula solve?
(-infinity - 0]you[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Square Root
The slope of a line containing two points

30. Which direction does f(x+c) move
Y=b
X=a
Set the x and y to zero and get the intercepts and then plot the points
Horizontal left

31. What is the slope intercept formula? Define all the variables.
Y=b
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Identity
Identity

32. What type of slope do you have when m=? and the line is vertical?
Y=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
Undefined slope
Zero slope

33. How many domains can you have pointing to one range?
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
As many as you like
Parabola

34. 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.
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
Piecewise
Math 4 x - graph

35. What does the square root function look like on a graph?
Line ascending to the right gradually
Odd
(-infinity - +infinity)
Conditional

36. Is the standard cubic function odd - even or neither?
Odd
Identity
F(x+c) and f(x-c)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What is the domain and range of a constant function?
1 -2 -3
Because the demintor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

38. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
The opposite coordinates

39. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal right
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

40. Is the standard cubic function odd - even or neither?
Postiive slope
Horizontal right
Equation of a line
Odd

41. Which direction does f(x-c) move
Inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1
The first set of components of an ordered pair
Horizontal right

42. What is the average rate of change formula?
0<c<1 - horizontal stretching
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(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
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
0<c<1 - horizontal stretching
2nd key - x^2 - graph

44. What is the domain for the standard cubic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching
45 degree angle

45. What does the graph of the cube root function look like on the graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola - up one and right three
Conditional
Approach neg toward x through zero and above positive close to x

46. When is the only time (-infinity - +infinity) is not the domain?
Because the demintor of a quotient can never equal zero
Negative inverse
In a quotient
Negative inverse

47. What type of line is a constant function?
The secant line
Math 4 x - graph
Horizontal
2nd catalog (zero key -) abs(x) - graph

48. What direction does f(x)-c move in standard absolute value formula?
2nd key - x^2 - graph
Only one
Odd
Down

49. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)
[0 -+infinity)
Three odd - cube root - identity - standard cubic

50. What is the letter used to represent slope?
F(x^1)=f(x^2)
M
Cannot be drawn in quizlet
Identity