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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 a constant function?
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
Horizontal

2. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
The first set of components of an ordered pair
The slope of a line containing two points
Y=x^2 - graph

3. Of the seven of algebra's common graph's how many are neither?
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
The secant line

4. What are the calculator instructions for the standard cubic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
X math 3 graph

5. What are the calculator instructions for absolute value?
X2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
Line ascending to the right gradually

6. Is an identity function even - odd or neither?
The second set of components of an ordered pair
Odd
The single number y=
Approach neg toward x through zero and above positive close to x

7. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)

8. What does the graph of the cube root function look like on the graph?
The secant line
Y=x - identity function
Postiive slope
Approach neg toward x through zero and above positive close to x

9. What are the calculator instructions for a standard quadratic equation?
Only one
Zero slope
Y=x^2 - graph
Postiive slope

10. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
As many as you like
Piecewise
In a quotient

11. What is the formula in both horizontal stretching and horizontal shrinking?
X^2
Y=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph

12. What equation does every line have? Discuss the variables.
F(x)=suare root of x
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.
Cannot be drawn in quizlet
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

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

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14. What is the domain and range of a constant function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
As many as you like
[0 -+infinity)

15. x=no real numbers is what type of an equation?
Same
Odd
Inconsistant
(-infinity - +infinity)

16. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Odd
Parraelle line

17. What is the horizontal line formula?
Cannot be drawn in quizlet
Y=b
Neither
The secant line

18. Is a constant function even - odd or neither?
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
Set the x and y to zero and get the intercepts and then plot the points

19. What is the domain of the cube root function?
F of g and g of f
(-infinity - +infinity)
Y=IxI
A V

20. What are the steps for solving a word problem?
F(x) = x
F(x)=x^3
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
Identity

21. What is the range of an identity function?
(-infinity - +infinity)
Parabola
F(x) = x
Horizontal left

22. What is the point slope formula and when do you use it?
Yes because two x's or domains can point to one y
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=IxI

23. Of the seven of algebra's common graph's how many are even?
Inconsitent
2nd key - x^2 - graph
Absolute Value - Constant and Standard Quadratic
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

24. Is the square root function odd - even or neither?
Neither
Square Root
Inconsitent
Same

25. What is the domain for an absolute value function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Function notation
Cannot be drawn in quizlet

26. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of 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.

27. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The minimum or maximum points
1 -2 -3
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.
Equation of a line

28. What is the formula for an identity function?
F(x) = x
Perpendicular line
Y=x - identity function
Piecewise

29. y=f(cx) - What does this formula represent?
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
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.
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic

30. How many ranges can you have for each domain?
Identity
X math 3 graph
45 degree angle
Only one

31. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=+c and f(x)-c

32. What is a relation?
Any set of ordered pairs
Because the demintor of a quotient can never equal zero
M
Horizontal left

33. Which direction does f(x)=+c move in standard absolute value formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Up
F(x^1)=f(x^2)

34. What does the average rate of change formula solve?
A line passing through two distinct points
F(x)=+c and f(x)-c
Odd
The slope of a line containing two points

35. x=all real numbers is what type of an equation?
F(x^1)=f(x^2)
Identity
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

36. x=no real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Inconsistant
Conditional
Three odd - cube root - identity - standard cubic

37. What can we substitute for f(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.
4 -6 -9
Y
0<c<1 - horizontal stretching

38. Is an absolute value function even - odd or neither?
Line ascending to the right gradually
Identity
(-infinity - +infinity)
Even

39. Two vertical lines side by side are a symbol for what
F(x)=IxI
(-infinity - +infinity)
Parraelle line
Only one

40. Of the seven of algebra's common graph's how many are odd?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Function notation

41. What does the square root function look like on a graph?
The minimum or maximum points
Only one
Line ascending to the right gradually
A line passing through two distinct points

42. What is the domain and range of a constant function?
2nd key - x^2 - graph
Horizontal
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

43. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
As many as you like
The opposite coordinates

44. Is the standard cubic function odd - even or neither?
F(x^1)=f(x^2)
Odd
(-infinity - +infinity)
45 degree angle

45. What are the algebra of functions?
Even
Identity
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

46. What type of line is a constant function?
Horizontal
When does a graph not define y as a function of x?
In a quotient
2nd catalog (zero key -) abs(x) - graph

47. What is a range?
The second set of components of an ordered pair
(-infinity - +infinity)
X^2
F(x+c) and f(x-c)

48. Two vertical lines side by side are a symbol for what
Identity
Parraelle line
Y
Square Root

49. y=f(cx) What does this formula represent?
Cannot be drawn in quizlet
Line ascending to the right gradually
(-infinity - +infinity)
0<c<1 - horizontal stretching

50. What is the formula for slope?
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly