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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. Which direction does f(x-c) move
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
As many as you like
Horizontal right

2. What are the calculator instructions for absolute value?
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
Horizontal
As equations

3. What is the vertical line formula?
X=a
Negative inverse
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c

4. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Yes - all the domains points to one range
Even
X^2
X is the hours to repair the boat. $1603-532=anwser/63 = x

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

6. What are the steps for solving a word problem?
Yes - all the domains points to one range
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
Horizontal right
Any set of ordered pairs

7. What are the four steps for solving a linear equation?
Set the x and y to zero and get the intercepts and then plot the points
Undefined
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.
45 degree angle

8. How are functions normally written?
Y= then enter the number then press graph
Y=x - identity function
F(x)=3 square root x
As equations

9. What is another way to write f(x)=x - what type of function is this?
Identity
Identity
Horizontal
Y=x - identity function

10. What are the calculator instructions for absolute value?
A V
Line ascending to the right gradually
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph

11. What is a range?
45 degree angle
[0 -+infinity)
The second set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)

12. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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 - 0]you[0 - +infinity)
The opposite coordinates

13. How are functions normally written?
As equations
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.
Set the x and y to zero and get the intercepts and then plot the points
Parraelle line

14. Is a constant function even - odd or neither?
Yes because two x's or domains can point to one y
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)
Even

15. Which direction does f(x+c) move
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)=3 square root x
Even
Horizontal left

16. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
45 degree angle
Parabola - up one and right three
The single number y=

17. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
As equations

18. What type of slope do you have when a line falls left to right and m<0?
Neither
Cannot be drawn in quizlet
Negative slope
Any set of ordered pairs

19. Is an absolute value function even - odd or neither?
Even
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points

20. What does the average rate of change formula solve?
Even
(-infinity - +infinity)
The slope of a line containing two points
In a quotient

21. How do you calculate a constant function in your calculator?
4 -6 -9
Y= then enter the number then press graph
X^2
Parabola

22. What is the vertex?
The minimum or maximum points
Cannot be drawn in quizlet
Parraelle line
Negative inverse

23. What is a constant function?
M
Identity
Any set of ordered pairs
F(x^1)=f(x^2)

24. x= a real number is what type of equation?
Conditional
X=a
Undefined slope
Inconsitent

25. What is the formula for an absolute value function?
(-infinity - +infinity)
F(x)=IxI
The minimum or maximum points
Math 4 x - graph

26. What is the formula for to calculate the difference of a quotient function?
Neither
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+h)-f(x)/h h cannot equal zero

27. What is the range for an absolute value function?
Square Root
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range

28. What is a function?
X = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

29. What is the formula for the cube root function?
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
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=3 square root x

30. 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.
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
Negative inverse

31. What is a range?
Cannot be drawn in quizlet
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)

32. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
F(x)=suare root of x

33. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Identity
1 -2 -3
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
Identity

34. What are the algebra of functions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. Is an absolute value function even - odd or neither?
Odd
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
Even

36. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
X=a
Only one
[0 -+infinity)

37. Two vertical lines side by side are a symbol for what
X=a
Parraelle line
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

38. What is the formula for an identity function?
The secant line
Odd
45 degree angle
F(x) = x

39. What is the range for the standard cubic function?
The secant line
(-infinity - +infinity)
Identity
Cannot be drawn in quizlet

40. What is the range of a square root function?
(-infinity - +infinity)
Horizontal right
45 degree angle
[0 -+infinity)

41. Is the square root function odd - even or neither?
(-infinity - +infinity)
Cannot be drawn in quizlet
Parraelle line
Neither

42. What is the range of the cube root function?
Y=10
Cannot be drawn in quizlet
(-infinity - +infinity)
X^2

43. What are the algebra of functions?
The slope of a line containing two points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x

44. Draw or discuss an increasing function
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Negative slope

45. What is the domain for an absolute value function?
The slope of a line containing two points
Cannot be drawn in quizlet
(-infinity - +infinity)
X math 3 graph

46. What is the formula for an identity function?
Identity
Y=IxI
Any set of ordered pairs
F(x) = x

47. What does the standard cubic function look like on a graph?
Absolute Value - Constant and Standard Quadratic
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually
Line ascending to the right gradually

48. What are the four steps for finding the inverse of a function?
Same
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Zero slope
F(x+h)-f(x)/h h cannot equal zero

49. Draw or discuss a decreasing function
Any set of ordered pairs
F(x)=suare root of x
Neither
Cannot be drawn in quizlet

50. f(x) = x^2+3x+5 - what type of formula is this?
Only one
Function notation
X^2
Because the demintor of a quotient can never equal zero