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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. 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
Y=b
Identity
Parabola

2. 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
Three odd - cube root - identity - standard cubic
Horizontal
Parraelle line

3. What is the formula for an identity function?
Parraelle line
Y=x - identity function
Horizontal
F(x) = x

4. What is another way of writing the absolute value function?
Even
Cannot be drawn in quizlet
Y=IxI
Absolute Value - Constant and Standard Quadratic

5. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Inconsitent
0<c<1 - horizontal stretching
Identity

6. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range
Three odd - cube root - identity - standard cubic

7. What is the range of the constant function?
The single number y=
45 degree angle
The secant line
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.

8. What is the formula for an identity function?
The opposite coordinates
F(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=

9. What shape is the standard quadratic function?
Parabola
F(x)=3 square root x
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

10. $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
Parabola
Because the demintor of a quotient can never equal zero
Undefined

11. What is the range of a square root function?
Neither
Cannot be drawn in quizlet
F of g and g of f
[0 -+infinity)

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

13. What is the slope intercept formula? Define all the variables.
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Set the x and y to zero and get the intercepts and then plot the points
Horizontal left

14. What is the formula for an absolute value function?
Zero slope
F(x)=IxI
Identity
Any set of ordered pairs

15. What does the average rate of change formula solve?
(-infinity - +infinity)
Line ascending to the right gradually
F(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points

16. What is a range?
The second set of components of an ordered pair
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)=x^3
F(x) = x

17. What is the domain and range of a constant function?
Y=x^2 - graph
(-infinity - +infinity)
F(x)=x^3
C>1 - horizontal shrinking

18. What is the domain of an identity function?
The second set of components of an ordered pair
F(x+h)-f(x)/h h cannot equal zero
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 - +infinity)

19. Which direction does f(x+c) move
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.
Negative inverse
Horizontal left
2nd key - x^2 - graph

20. What is the domain of a square root function?
[0 -+infinity)
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

21. What are the calculator instructions for a standard quadratic equation?
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph
F(x^1)=f(x^2)
X=a

22. Is an absolute value function even - odd or neither?
Parabola - up one and right three
(-infinity - +infinity)
Even
X2-x1 because the demonaitor of a quotient can never equal zero

23. x=no real numbers is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Inconsistant
F(x^1)=f(x^2)

24. What is another way to write f(x)=x - what type of function is this?
Even
Line ascending to the right gradually
Y=x - identity function
M

25. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Down
F(x+h)-f(x)/h h cannot equal zero

26. standard absolute value - horizontal shift formulas for left and right
X is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3
F(x+c) and f(x-c)
Horizontal left

27. What are the calculator instructions for absolute value?
Function notation
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI

28. What is the range for an absolute value function?
Even
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]you[0 - +infinity)
X=a

29. What are the calculator instructions for the cube root function?
Math 4 x - graph
The second set of components of an ordered pair
Only one
Y=10

30. A flat line underlining one vertical line is a symbol for...
F of g and g of f
Perpendicular line
2nd key - x^2 - graph
(-infinity - +infinity)

31. 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
(-infinity - +infinity)
Y
Line ascending to the right gradually

32. What are the four steps for finding the inverse of a function?
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Line ascending to the right gradually
Parabola - up one and right three

33. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y=10
Up
X = the original sale price and the formula is x - .40x =$276

34. What is the range of an identity function?
The opposite coordinates
(-infinity - +infinity)
0<c<1 - horizontal stretching
F(x)=suare root of x

35. What is the slope intercept formula? Define all the variables.
Negative inverse
Parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. What type of slope do horizontal lines have?
F(x)=IxI
Same
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. Which direction does f(x-c) move
Even
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
Down

38. What is a range?
The second set of components of an ordered pair
Line ascending to the right gradually
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 right

39. What type of line is an identity function?
When does a graph not define y as a function of x?
F(x)=IxI
45 degree angle
Cannot be drawn in quizlet

40. Draw or discuss a constant function
Up
Cannot be drawn in quizlet
Conditional
Function notation

41. Which direction does f(x-c) move
2nd key - x^2 - graph
Horizontal right
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+c) and f(x-c)

42. What is the domain for a standard quadratic function?
1 -2 -3
(-infinity - +infinity)
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x

43. What is the range of the cube root function?
Even
(-infinity - 0]you[0 - +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.
(-infinity - +infinity)

44. What are the calculator instructions for the standard cubic function?
Same
45 degree angle
X math 3 graph
Negative slope

45. What equation does every line have? Discuss the variables.
Yes - all the domains points to one range
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.
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
Parabola

46. What are the algebra of functions?
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined
Up

47. How many ranges can you have for each domain?
Only one
Line ascending to the right gradually
The second set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)

48. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations
X is the hours to repair the boat. $1603-532=anwser/63 = x
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.

49. What type of slope do you have when a line rises from left to right and m>0?
Undefined slope
(-infinity - +infinity)
Postiive slope
0<c<1 - horizontal stretching

50. Of the seven of algebra's common graph's how many are even?
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
Yes - all the domains points to one range