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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 algebra of functions?
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a
The minimum or maximum points

2. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A V
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The secant line
Conditional

3. What is slope?
C>1 - horizontal shrinking
A line passing through two distinct points
Even
(-infinity - +infinity)

4. What type of slope do horizontal lines have?
A line passing through two distinct points
Same
Up
As equations

5. In an identity function if f(10)=x than What is y?
Y=10
In a quotient
Only one
Postiive slope

6. What can we substitute for f(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
Horizontal left
Same
Y

7. What is the domain of an identity function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Odd
Absolute Value - Constant and Standard Quadratic

8. What is a function?
The single number y=
Inconsitent
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

9. What type of line is an identity function?
45 degree angle
Only one
Function notation
Inconsitent

10. What is the formula for an absolute value function?
F(x)=IxI
[0 -+infinity)
The first set of components of an ordered pair
Y= then enter the number then press graph

11. Is the standard cubic function odd - even or neither?
Postiive slope
Only one
X is the hours to repair the boat. $1603-532=anwser/63 = x
Odd

12. Two vertical lines side by side are a symbol for what
As equations
Yes because two x's or domains can point to one y
Parraelle line
(-infinity - +infinity)

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
The single number y=
Square Root

14. What is the range for an absolute value function?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
Inconsitent

15. What is the domain for the standard cubic function?
Horizontal right
The minimum or maximum points
(-infinity - +infinity)
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

16. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking
The minimum or maximum points
A V

17. What does the graph of the cube root function look like on the graph?
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points

18. What type of line is an identity function?
F(x^1)=f(x^2)
Parabola - up one and right three
X=a
45 degree angle

19. What are the steps for solving a word problem?
Y=IxI
Odd
Equation of a line
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

20. 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
(-infinity - +infinity)
As many as you like
Yes - all the domains points to one range

21. Of the seven of algebra's common graph's how many are even?
45 degree angle
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.
Absolute Value - Constant and Standard Quadratic
F(x) = x

22. What does the square root function look like on a graph?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually
Y=x^2 - graph

23. What does linear equation mean?
Any set of ordered pairs
Equation of a line
(-infinity - +infinity)
(-infinity - +infinity)

24. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic
M
Parabola

25. What is the vertical line test?
No because you cannot have one domain pointing at two y's or ranges
Zero slope
Y=b
When does a graph not define y as a function of x?

26. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=b
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)

27. What type of line is a constant function?
Math 4 x - graph
Horizontal
Y=x - identity function
The minimum or maximum points

28. What is the letter used to represent slope?
Negative inverse
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x
M

29. x=all real numbers is what type of an equation?
F(x)=+c and f(x)-c
Identity
Neither
F of g and g of f

30. What are the calculator instructions for absolute value?
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
The secant line
F(x)=+c and f(x)-c

31. Draw or discuss a decreasing function
Y
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

33. How many ranges can you have for each domain?
(-infinity - 0]you[0 - +infinity)
In a quotient
Only one
X=a

34. What is the domain and range of a constant 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
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity

35. What is the range of a square root function?
[0 -+infinity)
Cannot be drawn in quizlet
Horizontal
Equation of a line

36. What is the formula for the cube root function?
F(x)=3 square root x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
20+.05x=5+.10x x=minutes

37. How many ranges can you have for each domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative slope
Only one
The secant line

38. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
F(x)=3 square root x
(-infinity - +infinity)

39. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Equation of a line
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

40. Two vertical lines side by side are a symbol for what
F(x)=+c and f(x)-c
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
Parraelle line

41. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
F(x)=+c and f(x)-c
F(x2)-f(x1) / x2-x1

42. y=f(cx) What does this formula represent?
C>1 - horizontal shrinking
0<c<1 - horizontal stretching
A line passing through two distinct points
Negative inverse

43. x= a real number is what type of equation?
As equations
Conditional
4 -6 -9
Horizontal

44. What is the formula for to calculate the difference of a quotient function?
A line passing through two distinct points
45 degree angle
F(x+h)-f(x)/h h cannot equal zero
Identity

45. What type of line is a constant function?
Parabola
Cannot be drawn in quizlet
Horizontal left
Horizontal

46. What is the point slope formula and when do you use it?
X = the original sale price and the formula is x - .40x =$276
A V
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

47. Which direction does f(x)=+c move in standard absolute value formula?
Up
Square Root
The slope of a line containing two points
Parraelle line

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

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49. How do you calculate a constant function in your calculator?
Approach neg toward x through zero and above positive close to x
The single number y=
(-infinity - +infinity)
Y= then enter the number then press graph

50. What are the four steps for solving a linear equation?
The opposite coordinates
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.
The single number y=
No because you cannot have one domain pointing at two y's or ranges