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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 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.
F of g and g of f
Three odd - cube root - identity - standard cubic
The minimum or maximum points

2. Is the standard cubic function odd - even or neither?
Odd
Neither
Down
Negative slope

3. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Horizontal left
The second set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. How many domains can you have pointing to one range?
As many as you like
Identity
F(x) = x
Math 4 x - graph

5. $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?
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)=+c and f(x)-c
X=a
(-infinity - +infinity)

6. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Horizontal
Yes - all the domains points to one range
F of g and g of f
Any set of ordered pairs

7. What is a domain?
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
The secant line

8. What is a domain?
20+.05x=5+.10x x=minutes
Identity
Down
The first set of components of an ordered pair

9. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Conditional
45 degree angle

10. What is the domain for an absolute value function?
Negative inverse
(-infinity - +infinity)
Even
F(x)=3 square root x

11. What is the formula for the standard cubic function?
C>1 - horizontal shrinking
F(x)=x^3
Horizontal left
(-infinity - +infinity)

12. What is the range of an identity function?
(-infinity - +infinity)
As many as you like
The second set of components of an ordered pair
Y=x - identity function

13. What type of line is a constant function?
X=a
Conditional
M
Horizontal

14. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges
X^2
Conditional

15. 4(x-7)=4x-28 is what type of an equation?
Horizontal
Absolute Value - Constant and Standard Quadratic
Identity
Inconsitent

16. What type of line is a constant function?
(-infinity - +infinity)
Undefined slope
(-infinity - +infinity)
Horizontal

17. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
The slope of a line containing two points
Parraelle line
Piecewise

18. What type of line is an identity function?
Piecewise
(-infinity - +infinity)
Function notation
45 degree angle

19. What are the calculator instructions for a square root function?
Conditional
Cannot be drawn in quizlet
45 degree angle
2nd key - x^2 - graph

20. What are the four steps for solving a linear equation?
(-infinity - +infinity)
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.
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.
Parabola

21. What shape is the standard quadratic function?
Odd
Perpendicular line
Parabola
The single number y=

22. Is a standard quadratic function even - odd or neither?
Even
The second set of components of an ordered pair
M
Parraelle line

23. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
F(x) = x

24. What is a range?
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs
The second set of components of an ordered pair

25. What can we substitute for f(x)?
X = the original sale price and the formula is x - .40x =$276
F(x)=IxI
Y
[0 -+infinity)

26. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Square Root
X^2
A line passing through two distinct points

27. What is the domain of a square root function?
Parabola
[0 -+infinity)
Three odd - cube root - identity - standard cubic
F(x)=3 square root x

28. What is the domain for the standard cubic function?
Same
Y
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

29. In an identity function if f(10)=x than What is y?
Neither
The single number y=
Y=10
When does a graph not define y as a function of x?

30. What is the range for the standard cubic function?
The second set of components of an ordered pair
(-infinity - +infinity)
Negative slope
Horizontal

31. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Negative slope
Parraelle line
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

32. What is the standard quadratic function?
2nd key - x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X^2
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

33. What does the absolute value function look like?
(-infinity - +infinity)
Undefined slope
Odd
A V

34. What is the point slope formula and when do you use it?
(-infinity - +infinity)
Parraelle line
Identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. What is the range of the constant function?
Inconsitent
The single number y=
45 degree angle
Horizontal left

36. y=f(cx) - What does this formula represent?
F(x) = x
C>1 - horizontal shrinking
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.
Square Root

37. Two vertical lines side by side are a symbol for what
Parraelle line
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
The first set of components of an ordered pair
[0 -+infinity)

38. What is the formula for an absolute value function?
(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
Parabola - up one and right three
F(x)=IxI

39. What is the domain of a square root function?
Perpendicular line
[0 -+infinity)
No because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

41. What does the standard cubic function look like on a graph?
Conditional
Mirror image neg quadrant to that of the positive quandrant
Even
Yes because two x's or domains can point to one y

42. 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?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
The secant line
X is the hours to repair the boat. $1603-532=anwser/63 = x

43. Which direction does f(x)=+c move in standard absolute value formula?
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up
Y=x^2 - graph

44. What is the range of the constant function?
F of g and g of f
The single number y=
Because the demintor of a quotient can never equal zero
F(x) = x

45. Is an absolute value function even - odd or neither?
Horizontal
Even
Perpendicular line
The first set of components of an ordered pair

46. What type of slope do you have when the line is horizontal and m=0?
Yes because two x's or domains can point to one y
Zero slope
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
Odd

47. What can never equal zero in the slope formula and why?
F of g and g of f
X2-x1 because the demonaitor of a quotient can never equal zero
X math 3 graph
F(x2)-f(x1) / x2-x1

48. What are the calculator instructions for a standard quadratic equation?
In a quotient
Math 4 x - graph
Y=x^2 - graph
Negative inverse

49. How do you calculate a constant function in your calculator?
Parabola
Y
Y= then enter the number then press graph
Parabola - up one and right three

50. What is the standard quadratic function?
Zero slope
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^2
Mirror image neg quadrant to that of the positive quandrant