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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 are the calculator instructions for the standard cubic function?
X math 3 graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=IxI

2. How many ranges can you have for each domain?
Inconsistant
Only one
(-infinity - +infinity)
Parabola - up one and right three

3. What are the calculator instructions for absolute value?
F(x)=x^3
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph

4. standard absolute value - horizontal shift formulas for left and right
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.
Identity
Parraelle line
F(x+c) and f(x-c)

5. f(x) = x^2+3x+5 - what type of formula is this?
Parabola - up one and right three
45 degree angle
Function notation
Y

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
Approach neg toward x through zero and above positive close to x
Conditional

7. What is the point slope formula and when do you use it?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

8. What is the average rate of change formula?
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
F(x2)-f(x1) / x2-x1
1 -2 -3
Math 4 x - graph

9. What is the vertex?
The minimum or maximum points
Conditional
Even
Even

10. Is a standard quadratic function even - odd or neither?
Y=x - identity function
Even
(-infinity - +infinity)
Negative inverse

11. Which direction does f(x)=+c move in standard absolute value formula?
Inconsitent
Approach neg toward x through zero and above positive close to x
Up
20+.05x=5+.10x x=minutes

12. How do you calculate a constant function in your calculator?
As many as you like
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.
Up
Y= then enter the number then press graph

13. What type of slope do horizontal lines have?
Perpendicular line
Same
Only one
Yes because two x's or domains can point to one y

14. How many domains can you have pointing to one range?
Y
F of g and g of f
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

15. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
As many as you like
1 -2 -3
(-infinity - +infinity)

16. What can never equal zero in the slope formula and why?
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero
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

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parabola - up one and right three
F(x)=3 square root x
1 -2 -3

18. What type of function would you use to calculate the most advantageous cell phone plan?
[0 -+infinity)
Piecewise
As equations
Undefined slope

19. 4x+5x=8x is what type of an equation?
As many as you like
2nd key - x^2 - graph
(-infinity - +infinity)
Conditional

20. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
Up
X2-x1 because the demonaitor of a quotient can never equal zero
Yes because two x's or domains can point to one y

21. Draw or discuss an increasing function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=x^2 - graph

22. What is the range of a square root function?
Any set of ordered pairs
Undefined slope
[0 -+infinity)
Y=IxI

23. What is the range of an identity function?
Cannot be drawn in quizlet
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Even

24. What is another way of writing the absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Y=IxI
(-infinity - +infinity)

25. 4(x-7)=4x-28 is what type of an equation?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x
Identity

26. Draw or discuss an increasing function
The slope of a line containing two points
Undefined
No because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet

27. What type of slope do you have when a line rises from left to right and m>0?
X = the original sale price and the formula is x - .40x =$276
Negative inverse
Postiive slope
F(x)=suare root of x

28. What is the domain and range of a constant function?
Yes - all the domains points to one range
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Horizontal

29. What are the calculator instructions for the standard cubic function?
Undefined
Parabola
X math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. What equation does every line have? Discuss the variables.
The minimum or maximum points
A line passing through two distinct points
Horizontal right
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.

31. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Zero slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes

32. Is an identity function even - odd or neither?
45 degree angle
Yes - all the domains points to one range
Odd
The first set of components of an ordered pair

33. What type of slope do vertical lines have?
Negative slope
Undefined
(-infinity - +infinity)
F(x)=3 square root x

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope
The secant line

35. x=no real numbers is what type of an equation?
Conditional
45 degree angle
Inconsistant
Cannot be drawn in quizlet

36. What are the calculator instructions for the cube root function?
Math 4 x - graph
Negative slope
Horizontal left
Cannot be drawn in quizlet

37. y=f(cx) - What does this formula represent?
0<c<1 - horizontal stretching
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking
Even

38. What is the domain for a standard quadratic function?
(-infinity - +infinity)
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

39. Which direction does f(x+c) move
The secant line
Square Root
Horizontal left
Undefined

40. What does the average rate of change formula solve?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Y=x - identity function
The slope of a line containing two points

41. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet
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

42. Is an absolute value function even - odd or neither?
Neither
F of g and g of f
The second set of components of an ordered pair
Even

43. What is a constant function?
F(x^1)=f(x^2)
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
F(x) = x

44. Which direction does f(x+c) move
Horizontal left
X=a
Y
(-infinity - +infinity)

45. Why can h not equal zero in the difference of a quotient function formula?
Equation of a line
Negative inverse
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

46. What are the calculator instructions for the cube root function?
Math 4 x - graph
F(x)=+c and f(x)-c
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

47. What is a relation?
Neither
Any set of ordered pairs
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero

48. What is the formula for the standard cubic function?
4 -6 -9
F(x)=x^3
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

49. What are the four steps for finding the inverse of a function?
The opposite coordinates
Y=IxI
F(x)=3 square root x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

50. What does linear equation mean?
The opposite coordinates
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function