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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. y=f(cx) What does this formula represent?
Zero slope
Y=10
0<c<1 - horizontal stretching
In a quotient

2. What is the formula for slope?
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

3. What equation does every line have? Discuss the variables.
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
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges

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

5. y=f(cx) - What does this formula represent?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking
Undefined slope

6. Of the seven of algebra's common graph's how many are neither?
F(x)=3 square root x
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.
(-infinity - +infinity)
Square Root

7. What is the domain for an absolute value function?
(-infinity - +infinity)
The minimum or maximum points
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
X=a

8. What is the formula for an identity function?
Equation of a line
F(x) = x
(-infinity - +infinity)
(-infinity - +infinity)

9. How are functions normally written?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations
(-infinity - 0]you[0 - +infinity)
X=a

10. What is the formula for an absolute value function?
In a quotient
F(x)=IxI
F(x)=x^3
Square Root

11. What is the domain and range of a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations
(-infinity - +infinity)
Horizontal

12. What does linear equation mean?
Odd
Undefined
Cannot be drawn in quizlet
Equation of a line

13. What is the slope intercept formula? Define all the variables.
Down
2nd key - x^2 - graph
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. How are functions normally written?
The single number y=
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
As equations

15. What type of line is a constant function?
Horizontal
Parabola - up one and right three
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
The secant line

16. What type of slope do vertical lines have?
Odd
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined

17. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=IxI
F(x) = x

18. Of the seven of algebra's common graph's how many are odd?
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually

19. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Line ascending to the right gradually
The first set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x

20. Is a standard quadratic function even - odd or neither?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Y=10
Even

21. How do you calculate a constant function in your calculator?
Parraelle line
Piecewise
Inconsistant
Y= then enter the number then press graph

22. Is an absolute value function even - odd or neither?
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
When does a graph not define y as a function of x?

23. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Negative inverse
Cannot be drawn in quizlet
Even

24. x= a real number is what type of equation?
Y= then enter the number then press graph
Conditional
Y=b
Any set of ordered pairs

25. What does the standard cubic function look like on a graph?
Only one
Even
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

26. How many domains can you have pointing to one range?
Y
Set the x and y to zero and get the intercepts and then plot the points
Square Root
As many as you like

27. What is the range of an identity function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Equation of a line
Three odd - cube root - identity - standard cubic

28. Which direction does f(x-c) move
Horizontal left
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Horizontal right

29. What type of slope do you have when the line is horizontal and m=0?
F(x) = 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
Postiive slope
Zero slope

30. What is the vertex?
X=a
The minimum or maximum points
Parraelle line
Any set of ordered pairs

31. What direction does f(x)-c move in standard absolute value formula?
Parraelle line
Down
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph

32. What does the absolute value function look like?
A V
Undefined
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x

33. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Undefined
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero

34. How many ranges can you have for each domain?
[0 -+infinity)
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Only one

35. What type of line is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
Yes because two x's or domains can point to one y

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
F(x)=x^3
The minimum or maximum points

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Neither
As many as you like
No because you cannot have one domain pointing at two y's or ranges

38. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10
Undefined
(-infinity - +infinity)

39. What is the vertex?
Square Root
The minimum or maximum points
Horizontal left
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

40. What is the formula for the standard cubic function?
Y=IxI
F(x)=x^3
(-infinity - +infinity)
F(x)=IxI

41. What is another way of writing the absolute value function?
X=a
Y=IxI
Horizontal
Mirror image neg quadrant to that of the positive quandrant

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

43. Is the standard cubic function odd - even or neither?
Odd
Negative slope
Only one
Neither

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

45. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
Perpendicular line

46. Is an absolute value function even - odd or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
(-infinity - +infinity)
Even

47. What type of line is an identity function?
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
Neither

48. What type of slope do horizontal lines have?
Same
X2-x1 because the demonaitor of a quotient can never equal zero
The single number y=
Postiive slope

49. What are the algebra of functions?
In a quotient
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
No because you cannot have one domain pointing at two y's or ranges

50. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
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.
Yes - all the domains points to one range