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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 finding the inverse of a function?
A line passing through two distinct points
Y= then enter the number then press graph
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)

2. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
X=a
Even
0<c<1 - horizontal stretching

3. Draw or discuss a constant function
Conditional
Y=x^2 - graph
(-infinity - +infinity)
Cannot be drawn in quizlet

4. Why can h not equal zero in the difference of a quotient function formula?
Even
Because the demintor of a quotient can never equal zero
Zero slope
Absolute Value - Constant and Standard Quadratic

5. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
The secant line
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

6. What is the standard quadratic function?
X^2
Y=x - identity function
[0 -+infinity)
Even

7. What is the formula in both horizontal stretching and horizontal shrinking?
The secant line
Square Root
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b

8. What is the formula for slope?
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
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276

9. What points do you use to plot the inverse on a graph?
Horizontal
C>1 - horizontal shrinking
The opposite coordinates
Absolute Value - Constant and Standard Quadratic

10. What is the standard quadratic function?
Conditional
X^2
Y
Y=x - identity function

11. What type of line is a constant function?
1 -2 -3
X = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
Horizontal

12. 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 = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=+c and f(x)-c
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

13. Draw or discuss an increasing function
F of g and g of f
Cannot be drawn in quizlet
F(x+c) and f(x-c)
The second set of components of an ordered pair

14. How many domains can you have pointing to one range?
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x
As many as you like
A V

15. How many ranges can you have for each domain?
Inconsistant
Horizontal
Only one
Odd

16. What does the square root function look like on a graph?
Down
The minimum or maximum points
1 -2 -3
Line ascending to the right gradually

17. What are two examples of composit functions?
M
F of g and g of f
20+.05x=5+.10x x=minutes
F(x)=IxI

18. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Inconsitent
F(x)=x^3

19. What are the calculator instructions for a square root function?
F of g and g of f
F(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
Undefined

20. Is a constant function even - odd or neither?
Neither
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even

21. What are the calculator instructions for the standard cubic function?
X math 3 graph
Horizontal right
Cannot be drawn in quizlet
[0 -+infinity)

22. Draw or discuss a decreasing function
(-infinity - +infinity)
1 -2 -3
Cannot be drawn in quizlet
Perpendicular line

23. What is the formula for the cube root function?
Horizontal
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Yes because two x's or domains can point to one y

24. What is an identity function?
45 degree angle
The secant line
Three odd - cube root - identity - standard cubic
Parraelle line

25. Which direction does f(x)=+c move in standard absolute value formula?
Horizontal right
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Up

26. Is an identity function even - odd or neither?
Odd
Y=IxI
The opposite coordinates
(-infinity - +infinity)

27. Is the standard cubic function odd - even or neither?
Y=10
2nd key - x^2 - graph
Odd
X^2

28. What is the letter used to represent slope?
Piecewise
Odd
M
Parabola

29. 4(x-7)=4x-28 is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity
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.

30. What can never equal zero in the slope formula and why?
Inconsitent
Neither
Neither
X2-x1 because the demonaitor of a quotient can never equal zero

31. What is the formula for the square root function?
Undefined
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
Line ascending to the right gradually
F(x)=suare root of x

32. x=all real numbers is what type of an equation?
Identity
45 degree angle
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)

33. What are the calculator instructions for a square root 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
2nd key - x^2 - graph
Cannot be drawn in quizlet
Neither

34. What is the domain of the cube root function?
Postiive slope
(-infinity - +infinity)
F(x) = x
C>1 - horizontal shrinking

35. What is the range for the standard cubic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
X = the original sale price and the formula is x - .40x =$276
F of g and g of f

36. What is the slope of a perpendicular line?
Negative inverse
Parraelle line
Piecewise
Odd

37. Is an identity function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Odd

38. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Inconsistant
When does a graph not define y as a function of x?
Yes - all the domains points to one range
A V

39. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Up

40. What type of slope do you have when a line falls left to right and m<0?
The secant line
As many as you like
The second set of components of an ordered pair
Negative slope

41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
M
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

42. What does linear equation mean?
Equation of a line
Negative slope
F(x)=suare root of x
Square Root

43. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Zero slope
Negative inverse
M

44. 4x+5x=8x is what type of an equation?
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
Conditional
Cannot be drawn in quizlet

45. 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
Perpendicular line
[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

46. What is the range of the constant function?
The single number y=
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.
Horizontal right

47. What is the vertex?
Only one
Y=x - identity function
F(x)=x^3
The minimum or maximum points

48. What is the range for an absolute value function?
As equations
(-infinity - 0]you[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Horizontal right

49. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-infinity - +infinity)
Same
Conditional

50. How many ranges can you have for each domain?
Any set of ordered pairs
1 -2 -3
Only one
Conditional