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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 horizontal line formula?
Y=b
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

2. What is the average rate of change formula?
Even
Any set of ordered pairs
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1

3. What does the square root function look like on a graph?
Line ascending to the right gradually
(-infinity - +infinity)
Y=IxI
(-infinity - +infinity)

4. Two vertical lines side by side are a symbol for what
Parraelle line
F(x)=IxI
F(x)=3 square root 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

5. What shape is the standard quadratic function?
Even
Parabola
[0 -+infinity)
When does a graph not define y as a function of x?

6. What type of line is a constant function?
Function notation
Horizontal
20+.05x=5+.10x x=minutes
Negative slope

7. What type of slope do you have when a line rises from left to right and m>0?
Y=10
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
Postiive slope

8. Which direction does f(x-c) move
Down
Horizontal
Horizontal right
Set the x and y to zero and get the intercepts and then plot the points

9. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
Postiive slope

10. Is an identity function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair
Odd

11. How do you graph Ax+By+C=0?
F(x+c) and f(x-c)
Even
Set the x and y to zero and get the intercepts and then plot the points
Only one

12. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Negative slope
Even
Piecewise

13. What type of function would you use to calculate the most advantageous cell phone plan?
A line passing through two distinct points
Piecewise
Same
Inconsitent

14. What is the point slope formula and when do you use it?
F(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=IxI
Even

15. 4x+5x=8x is what type of an equation?
The second set of components of an ordered pair
Horizontal
Down
Conditional

16. What type of slope do vertical lines have?
(-infinity - 0]you[0 - +infinity)
Undefined
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
Zero slope

17. What is a constant function?
X=a
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x^1)=f(x^2)
Y=IxI

18. What is the range of a square root function?
A line passing through two distinct points
Cannot be drawn in quizlet
[0 -+infinity)
Square Root

19. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Horizontal right

20. What does linear equation mean?
Undefined
Yes because two x's or domains can point to one y
Equation of a line
Postiive slope

21. Is the square root function odd - even or neither?
Odd
F(x)=x^3
The opposite coordinates
Neither

22. What is a constant function?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?
F(x^1)=f(x^2)

23. What is a range?
As many as you like
When does a graph not define y as a function of x?
The second set of components of an ordered pair
(-infinity - +infinity)

24. What is the domain of a square root function?
Up
F(x)=x^3
[0 -+infinity)
When does a graph not define y as a function of x?

25. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=x^3
When does a graph not define y as a function of x?
Up
(-infinity - 0]you[0 - +infinity)

26. What is the standard quadratic function?
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.
F(x)=+c and f(x)-c
(-infinity - +infinity)
X^2

27. What is the formula for an identity function?
F(x) = x
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal left

28. What is slope?
Parabola - up one and right three
A line passing through two distinct points
The slope of a line containing two points
(-infinity - +infinity)

29. What type of slope do you have when a line falls left to right and m<0?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
(-infinity - +infinity)
Negative slope

30. Is a standard quadratic function even - odd or neither?
Odd
When does a graph not define y as a function of x?
Even
Cannot be drawn in quizlet

31. What is the range of the constant function?
1 -2 -3
The single number y=
Undefined slope
Y=10

32. f(x) = x^2+3x+5 - what type of formula is this?
Y= then enter the number then press graph
Function notation
Any set of ordered pairs
Even

33. What can we substitute for f(x)?
C>1 - horizontal shrinking
Y
X=a
Even

34. Two vertical lines side by side are a symbol for what
A line passing through two distinct points
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
F(x^1)=f(x^2)

35. What is the range of a square root function?
The slope of a line containing two points
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
[0 -+infinity)
Y=IxI

36. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Equation of a line
Horizontal left
Only one

37. What is the slope of a perpendicular line?
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
Negative inverse

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x+c) and f(x-c)
(-infinity - +infinity)
The secant line
Postiive slope

39. Which direction does f(x+c) move
F of g and g of f
The single number y=
X=a
Horizontal left

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y= then enter the number then press graph
Equation of a line
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

41. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Identity
45 degree angle
F(x)=3 square root x

42. Of the seven of algebra's common graph's how many are neither?
Math 4 x - graph
45 degree angle
Square Root
Y=IxI

43. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
Zero slope
Horizontal

44. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x)=3 square root x
Any set of ordered pairs
Down

45. What is the slope intercept formula? Define all the variables.
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
As equations

46. What type of slope do you have when a line falls left to right and m<0?
Horizontal right
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
Negative slope

47. 4(x-7)=4x+28 is what type of an equation?
Horizontal right
No because you cannot have one domain pointing at two y's or ranges
Inconsitent
Conditional

48. What is slope?
A line passing through two distinct points
Math 4 x - graph
Horizontal
The slope of a line containing two points

49. What is an identity function?
Equation of a line
Postiive slope
45 degree angle
Yes because two x's or domains can point to one y

50. What are the four steps for finding the inverse of a function?
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x^1)=f(x^2)