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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. How do you graph Ax+By+C=0?
F of g and g of f
Identity
F(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points

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

3. Two vertical lines side by side are a symbol for what
Parraelle line
45 degree angle
0<c<1 - horizontal stretching
A line passing through two distinct points

4. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
F(x) = x
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

5. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]you[0 - +infinity)
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
Inconsistant
The secant line

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parabola - up one and right three
20+.05x=5+.10x x=minutes
Undefined
Inconsitent

7. How would this formula move f(x)=(x+1)^2-3
Horizontal
Parabola - up one and right three
45 degree angle
Approach neg toward x through zero and above positive close to x

8. $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?
Conditional
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
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
F(x^1)=f(x^2)

9. What is the domain of the cube root function?
Negative slope
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
A V

10. What are the calculator instructions for absolute value?
Even
In a quotient
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph

11. How are functions normally written?
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
As equations

12. What is the formula for the cube root function?
[0 -+infinity)
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
Conditional

13. Is the square root function odd - even or neither?
Neither
Even
[0 -+infinity)
Cannot be drawn in quizlet

14. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Horizontal right

15. In an identity function if f(10)=x than What is y?
Cannot be drawn in quizlet
Y=10
Inconsistant
(-infinity - +infinity)

16. What points do you use to plot the inverse on a graph?
The opposite coordinates
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse

17. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x)=x^3
4 -6 -9
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

18. What does the average rate of change formula solve?
Piecewise
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
F(x)=IxI

19. A flat line underlining one vertical line is a symbol for...
Parraelle line
Perpendicular line
Because the demintor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1

20. Of the seven of algebra's common graph's how many are neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic

21. What direction does f(x)-c move in standard absolute value formula?
Equation of a line
F(x)=x^3
Yes - all the domains points to one range
Down

22. Why can h not equal zero in the difference of a quotient function formula?
Even
Cannot be drawn in quizlet
[0 -+infinity)
Because the demintor of a quotient can never equal zero

23. What is the domain for a standard quadratic function?
The opposite coordinates
(-infinity - +infinity)
F(x)=suare root of x
Because the demintor of a quotient can never equal zero

24. What is the formula for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
F(x)=x^3
F(x2)-f(x1) / x2-x1

25. Which direction does f(x-c) move
Inconsitent
The secant line
(-infinity - +infinity)
Horizontal right

26. What are the algebra of functions?
F(x+c) and f(x-c)
M
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x

27. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The single number y=
F(x)=3 square root x
[0 -+infinity)

28. What type of slope do you have when a line falls left to right and m<0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola - up one and right three
M
Negative slope

29. Which direction does f(x+c) move
Horizontal left
Square Root
As many as you like
Parabola

30. What is the domain for an absolute value function?
The single number 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.
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

31. What is the domain of a square root function?
Conditional
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.
[0 -+infinity)
F(x)=+c and f(x)-c

32. What is another way to write f(x)=x - what type of function is this?
F(x)=x^3
Y=x - identity function
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
X=a

33. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
Any set of ordered pairs
Cannot be drawn in quizlet

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Same
A line passing through two distinct points
Because the demintor of a quotient can never equal zero

36. What type of line is a constant function?
(-infinity - +infinity)
F(x) = x
F(x)=IxI
Horizontal

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

38. 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?
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
When does a graph not define y as a function of x?

39. What does the graph of the cube root function look like on the graph?
Y=b
(-infinity - 0]you[0 - +infinity)
Inconsitent
Approach neg toward x through zero and above positive close to x

40. 4(x-7)=4x-28 is what type of an equation?
Y
Parabola - up one and right three
X=a
Identity

41. x= a real number is what type of equation?
Conditional
A V
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
The first set of components of an ordered pair

42. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Y=10
(-infinity - +infinity)
45 degree angle

43. What type of slope do vertical lines have?
Undefined
45 degree angle
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1

44. How do you calculate a constant function in your calculator?
In a quotient
(-infinity - +infinity)
(-infinity - +infinity)
Y= then enter the number then press graph

45. What are two examples of composit functions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f
Undefined
(-infinity - +infinity)

46. What is the domain for an absolute value function?
Conditional
(-infinity - +infinity)
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
Math 4 x - graph
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
Set the x and y to zero and get the intercepts and then plot the points

48. What is a relation?
(-infinity - +infinity)
Any set of ordered pairs
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x

49. How many domains can you have pointing to one range?
As many as you like
Zero slope
X^2
X math 3 graph

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
1 -2 -3
Odd