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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 is a domain?
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
The minimum or maximum points
(-infinity - +infinity)

2. What does the absolute value function look like?
45 degree angle
A V
Down
(-infinity - +infinity)

3. Draw or discuss a constant function
F(x)=IxI
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

4. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal right
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
Three odd - cube root - identity - standard cubic

5. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
X=a
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x

6. How many ranges can you have for each domain?
[0 -+infinity)
F(x^1)=f(x^2)
(-infinity - +infinity)
Only one

7. What is the range for the standard cubic function?
Inconsistant
Undefined
(-infinity - +infinity)
F(x)=x^3

8. What can we substitute for f(x)?
Zero slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y
F(x+h)-f(x)/h h cannot equal zero

9. y=f(cx) What does this formula represent?
Equation of a line
F(x^1)=f(x^2)
Odd
0<c<1 - horizontal stretching

10. 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
(-infinity - +infinity)
Any set of ordered pairs
Function notation

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Even
Horizontal right
(-infinity - 0]you[0 - +infinity)

12. What type of line is a constant function?
Horizontal
Y=10
0<c<1 - horizontal stretching
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.

13. What type of line is an identity function?
45 degree angle
Zero slope
Even
Negative slope

14. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
F(x)=+c and f(x)-c
X math 3 graph
Only one

15. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
The opposite coordinates
Square Root
Even

16. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching
(-infinity - +infinity)
(-infinity - +infinity)

17. What is the standard quadratic function?
F(x)=suare root of x
Parabola
X = the original sale price and the formula is x - .40x =$276
X^2

18. Of the seven of algebra's common graph's how many are neither?
X^2
Square Root
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

19. What type of slope do horizontal lines have?
Y=10
Same
Identity
(-infinity - 0]you[0 - +infinity)

20. 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?
Only one
X is the hours to repair the boat. $1603-532=anwser/63 = 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
(-infinity - 0]you[0 - +infinity)

21. What type of slope do you have when m=? and the line is vertical?
Absolute Value - Constant and Standard Quadratic
Zero slope
A line passing through two distinct points
Undefined slope

22. What does the absolute value function look like?
Same
F(x+h)-f(x)/h h cannot equal zero
Zero slope
A V

23. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
Undefined
F(x)=IxI

24. What is a relation?
Any set of ordered pairs
In a quotient
The secant line
A V

25. What type of slope do you have when a line falls left to right and m<0?
Horizontal right
(-infinity - +infinity)
Negative slope
The opposite coordinates

26. What is the range of an identity function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
1 -2 -3

27. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
Only one
Inconsistant

28. What are the four steps for solving a linear equation?
Negative inverse
Identity
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.
Only one

29. Is a constant function even - odd or neither?
Odd
The minimum or maximum points
Even
Identity

30. How do you calculate a constant function in your calculator?
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= then enter the number then press graph
X=a
X = the original sale price and the formula is x - .40x =$276

31. What is the range of the constant function?
The single number y=
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)

32. How do you graph Ax+By+C=0?
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points
Parabola
(-infinity - 0]you[0 - +infinity)

33. What is the formula for the square root function?
Up
(-infinity - +infinity)
F(x)=suare root of x
X = the original sale price and the formula is x - .40x =$276

34. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative inverse
(-infinity - +infinity)

35. How are functions normally written?
As equations
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x+h)-f(x)/h h cannot equal zero

36. How many domains can you have pointing to one range?
As many as you like
Perpendicular line
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)

37. What are the four steps for solving a linear equation?
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 - 0]you[0 - +infinity)
Any set of ordered pairs
The slope of a line containing two points

38. $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?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent

39. What type of line is an identity function?
Odd
Same
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

40. What type of line is a constant function?
F(x2)-f(x1) / x2-x1
As equations
Horizontal
Y=10

41. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
The slope of a line containing two points

42. What is a constant function?
Absolute Value - Constant and Standard Quadratic
F(x^1)=f(x^2)
A V
In a quotient

43. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

44. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Parraelle line
1 -2 -3
Three odd - cube root - identity - standard cubic

45. What is another way of writing the absolute value 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
The first set of components of an ordered pair
Cannot be drawn in quizlet
Y=IxI

46. How do you graph Ax+By+C=0?
Conditional
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

47. What is the domain of an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.
Function notation
(-infinity - +infinity)

48. What is the range for a standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

49. What is the vertical line test?
F(x)=+c and f(x)-c
When does a graph not define y as a function of x?
As many as you like
Approach neg toward x through zero and above positive close to x

50. Which direction does f(x-c) move
Horizontal right
Horizontal
F(x)=suare root of x
Y