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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=all real numbers is what type of an equation?
Negative inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=IxI
Identity

2. How many domains can you have pointing to one range?
4 -6 -9
Y=10
As many as you like
Parabola - up one and right three

3. What type of slope do you have when the line is horizontal and m=0?
Negative slope
Yes because two x's or domains can point to one y
Zero slope
Cannot be drawn in quizlet

4. y=f(cx) - What does this formula represent?
X math 3 graph
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

5. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Only one

6. How would this formula move f(x)=(x+1)^2-3
Parabola
A V
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three

7. In an identity function if f(10)=x than What is y?
Horizontal left
Odd
Set the x and y to zero and get the intercepts and then plot the points
Y=10

8. What is the range for a standard quadratic function?
M
Even
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

9. What does the square root function look like on a graph?
Line ascending to the right gradually
Conditional
C>1 - horizontal shrinking
Y=x^2 - graph

10. What can never equal zero in the slope formula and why?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As equations
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right

11. What are the calculator instructions for the cube root function?
Three odd - cube root - identity - standard cubic
F(x+h)-f(x)/h h cannot equal zero
Math 4 x - graph
Any set of ordered pairs

12. What is a domain?
Square Root
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.
Horizontal right
The first set of components of an ordered pair

13. What is another way of writing the absolute value function?
(-infinity - +infinity)
Y=IxI
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x

14. What are the algebra of functions?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x

15. standard absolute value - vertical shift formulas for positve and negative
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=+c and f(x)-c
Inconsitent

16. 4x+5x=8x is what type of an equation?
Conditional
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic
Inconsitent

17. x= a real number is what type of equation?
Conditional
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. How many ranges can you have for each domain?
Only one
F(x)=x^3
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
Horizontal left

19. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Undefined
M
20+.05x=5+.10x x=minutes

20. What type of slope do vertical lines have?
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
Undefined
The opposite coordinates

21. What does linear equation mean?
Only one
Y=IxI
Identity
Equation of a line

22. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Horizontal
4 -6 -9
Same
The secant line

23. What is a constant function?
Y
F(x^1)=f(x^2)
Square Root
F of g and g of f

24. What is the formula for to calculate the difference of a quotient function?
F(x2)-f(x1) / x2-x1
F(x+h)-f(x)/h h cannot equal zero
Up
(-infinity - +infinity)

25. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
Horizontal
F(x)=suare root of x

26. What does the average rate of change formula solve?
The secant line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The slope of a line containing two points
The minimum or maximum points

27. What is another way of writing the absolute value function?
The secant line
Neither
Y=IxI
(-infinity - +infinity)

28. What is the formula for the cube root function?
Horizontal
F(x)=3 square root x
Only one
Undefined slope

29. What are the calculator instructions for a square root function?
F(x) = x
Horizontal
2nd key - x^2 - graph
X^2

30. What is the formula for the square root function?
F(x)=suare root of x
M
Horizontal right
Identity

31. Is an absolute value function even - odd or neither?
F(x)=IxI
Horizontal left
Even
Cannot be drawn in quizlet

32. What is the range for a standard quadratic function?
Math 4 x - graph
F(x)=3 square root x
Equation of a line
(-infinity - 0]you[0 - +infinity)

33. What type of slope do you have when the line is horizontal and m=0?
Neither
As many as you like
45 degree angle
Zero slope

34. What is the domain of an identity function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Same
Inconsitent

35. What is slope?
A line passing through two distinct points
Identity
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.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
X math 3 graph
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points

37. What is the domain for an absolute value function?
Square Root
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
X^2

38. What is the formula for the cube root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
F(x)=3 square root x
(-infinity - +infinity)

39. What is a range?
Three odd - cube root - identity - standard cubic
Undefined slope
Three odd - cube root - identity - standard cubic
The second set of components of an ordered pair

40. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
Neither
Conditional

41. 4(x-7)=4x+28 is what type of an equation?
Cannot be drawn in quizlet
(-infinity - +infinity)
Inconsitent
Approach neg toward x through zero and above positive close to x

42. What is the formula for an absolute value function?
45 degree angle
X math 3 graph
F(x)=IxI
Line ascending to the right gradually

43. Is a standard quadratic function even - odd or neither?
Inconsistant
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.
Yes because two x's or domains can point to one y
Even

44. What type of slope do you have when a line rises from left to right and m>0?
F(x)=3 square root x
Postiive slope
[0 -+infinity)
In a quotient

45. What does the standard cubic function look like on a graph?
45 degree angle
Odd
Mirror image neg quadrant to that of the positive quandrant
Neither

46. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
X^2
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

47. What shape is the standard quadratic function?
Identity
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
Parabola

48. How many domains can you have pointing to one range?
As many as you like
Horizontal
A V
C>1 - horizontal shrinking

49. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

50. What is the domain for the standard cubic function?
The minimum or maximum points
(-infinity - +infinity)
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope