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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 type of line is an identity function?
45 degree angle
C>1 - horizontal shrinking
X = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points

2. What can never equal zero in the slope formula and why?
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

3. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Odd
Negative slope
The single number y=
X = the original sale price and the formula is x - .40x =$276

4. What is the point slope formula and when do you use it?
Horizontal
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points

5. What is the domain of the cube root function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
Function notation

6. How many ranges can you have for each domain?
Only one
Cannot be drawn in quizlet
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. f(x) = x^2+3x+5 - what type of formula is this?
Set the x and y to zero and get the intercepts and then plot the points
Even
Function notation
(-infinity - +infinity)

8. 4(x-7)=4x+28 is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
Neither
Inconsitent
F(x+c) and f(x-c)

9. What is the formula for the standard cubic function?
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1
4 -6 -9
F(x)=x^3

10. 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
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

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

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12. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
X=a
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1 -2 -3
No because you cannot have one domain pointing at two y's or ranges
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What are the four steps for finding the inverse of a function?
Parabola - up one and right three
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
M
Yes - all the domains points to one range
As many as you like
Identity

16. What is the domain of an identity function?
(-infinity - +infinity)
Conditional
1 -2 -3
As equations

17. What is the horizontal line formula?
Y=b
Down
No because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic

18. A flat line underlining one vertical line is a symbol for...
F(x^1)=f(x^2)
Perpendicular line
Parraelle line
X = the original sale price and the formula is x - .40x =$276

19. What is the formula for slope?
Approach neg toward x through zero and above positive close to 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal right

20. What is the formula for to calculate the difference of a quotient 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)
F(x+h)-f(x)/h h cannot equal zero
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

21. What is the average rate of change formula?
Even
[0 -+infinity)
Odd
F(x2)-f(x1) / x2-x1

22. What is a constant function?
F(x^1)=f(x^2)
Y=10
F of g and g of f
Negative inverse

23. Is a standard quadratic function even - odd or neither?
The second set of components of an ordered pair
Identity
0<c<1 - horizontal stretching
Even

24. What is a range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined slope
(-infinity - +infinity)
The second set of components of an ordered pair

25. What is the domain for the standard cubic function?
Conditional
(-infinity - 0]you[0 - +infinity)
Same
(-infinity - +infinity)

26. How do you calculate a constant function in your calculator?
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph

27. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
Down

28. 4(x-7)=4x+28 is what type of an equation?
Equation of a line
The secant line
Only one
Inconsitent

29. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Down
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI

30. What are the calculator instructions for the standard cubic function?
In a quotient
A line passing through two distinct points
The single number y=
X math 3 graph

31. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
Inconsistant
Y=IxI

32. What is a relation?
Math 4 x - graph
(-infinity - +infinity)
Any set of ordered pairs
[0 -+infinity)

33. What are the steps for solving a word problem?
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

34. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
X math 3 graph
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
(-infinity - +infinity)

35. What are two examples of composit functions?
F of g and g of f
The secant line
Three odd - cube root - identity - standard cubic
Postiive slope

36. What does linear equation mean?
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line
Absolute Value - Constant and Standard Quadratic

37. 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
A line passing through two distinct points
Parabola
Piecewise

38. Is the square root function odd - even or neither?
Neither
Square Root
X^2
Yes because two x's or domains can point to one y

39. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
(-infinity - +infinity)

40. What is the formula for an identity function?
F(x)=x^3
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero
F(x) = x

41. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
1 -2 -3
(-infinity - +infinity)
The second set of components of an ordered pair

42. What type of slope do you have when a line falls left to right and m<0?
Piecewise
Negative slope
Parabola - up one and right three
Inconsistant

43. What direction does f(x)-c move in standard absolute value formula?
Down
When does a graph not define y as a function of x?
Horizontal left
2nd catalog (zero key -) abs(x) - graph

44. What are the four steps for solving a linear equation?
4 -6 -9
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.
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

45. What is the vertex?
F(x2)-f(x1) / x2-x1
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points

46. What points do you use to plot the inverse on a graph?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
Y=x - identity function

47. What is the vertical line formula?
X=a
Because the demintor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

48. What type of function would you use to calculate the most advantageous cell phone plan?
Conditional
Piecewise
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1

49. What does the graph of the cube root function look like on the graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x^2 - graph
Approach neg toward x through zero and above positive close to 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.

50. What is the domain for an absolute value function?
Y=b
(-infinity - +infinity)
Neither
Horizontal

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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