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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 is the formula for the square root function?
Y=10
F(x)=suare root of x
Three odd - cube root - identity - standard cubic
Conditional

2. Is a standard quadratic function even - odd or neither?
F of g and g of f
Even
Cannot be drawn in quizlet
The slope of a line containing two points

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
X^2
45 degree angle
Yes - all the domains points to one range
A line passing through two distinct points

4. What are the calculator instructions for a standard quadratic equation?
Piecewise
Y=x^2 - graph
The first set of components of an ordered pair
Parabola - up one and right three

5. What is the letter used to represent slope?
M
Set the x and y to zero and get the intercepts and then plot the points
Parabola
(-infinity - +infinity)

6. What is the slope intercept formula? Define all the variables.
Parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x2)-f(x1) / x2-x1
Y=x - identity function

7. What are the calculator instructions for absolute value?
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
Y=x^2 - graph

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

9. What are the four steps for finding the inverse of a function?
Inconsitent
4 -6 -9
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph

10. standard absolute value - horizontal shift formulas for left and right
Inconsistant
Approach neg toward x through zero and above positive close to x
Square Root
F(x+c) and f(x-c)

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - 0]you[0 - +infinity)
The secant line
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph

12. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Approach neg toward x through zero and above positive close to x
Y=10
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

13. What is the point slope formula and when do you use it?
1 -2 -3
In a quotient
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
20+.05x=5+.10x x=minutes

14. What type of slope do you have when the line is horizontal and m=0?
F(x)=+c and f(x)-c
Y=x - identity function
Zero slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. What is the range of the constant function?
F(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair
Y=b
The single number y=

16. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - 0]you[0 - +infinity)
F(x) = x
Yes because two x's or domains can point to one y
X = the original sale price and the formula is x - .40x =$276

17. What is the formula in both horizontal stretching and horizontal shrinking?
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

18. What is the formula for to calculate the difference of a quotient function?
Even
F(x+h)-f(x)/h h cannot equal zero
Odd
Only one

19. What is another way of writing the absolute value function?
The slope of a line containing two points
Y=IxI
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
F(x)=+c and f(x)-c

20. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Function notation
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

21. What are the algebra of functions?
X^2
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic

22. standard absolute value - vertical shift formulas for positve and negative
The single number y=
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
F(x)=+c and f(x)-c

23. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
As many as you like
Y= then enter the number then press graph
Odd

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Three odd - cube root - identity - standard cubic
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.
4 -6 -9
Undefined slope

25. What type of line is a constant function?
A V
Conditional
Horizontal
45 degree angle

26. In an identity function if f(10)=x than What is y?
Y=10
(-infinity - +infinity)
Down
F(x)=x^3

27. 4(x-7)=4x-28 is what type of an equation?
The minimum or maximum points
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity

28. How are functions normally written?
Horizontal
Even
Cannot be drawn in quizlet
As equations

29. What does the average rate of change formula solve?
The slope of a line containing two points
Y= then enter the number then press graph
X^2
(-infinity - +infinity)

30. What does the square root function look like on a graph?
Line ascending to the right gradually
45 degree angle
F(x)=3 square root x
Zero slope

31. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Identity
(-infinity - +infinity)
Yes - all the domains points to one range
Only one

32. What is a function?
Math 4 x - graph
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal

33. What type of slope do you have when a line rises from left to right and m>0?
Even
The slope of a line containing two points
Y= then enter the number then press graph
Postiive slope

34. Which direction does f(x+c) move
Horizontal left
Y=x - identity function
F(x)=IxI
Three odd - cube root - identity - standard cubic

35. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
F(x+h)-f(x)/h h cannot equal zero

36. What are the calculator instructions for the standard cubic function?
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes because two x's or domains can point to one y
X math 3 graph

37. What is slope?
The slope of a line containing two points
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)

38. What are two examples of composit functions?
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
F of g and g of f
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

39. What does the average rate of change formula solve?
The slope of a line containing two points
The second set of components of an ordered pair
Postiive slope
Parraelle line

40. 4(x-7)=4x+28 is what type of an equation?
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Negative inverse
Inconsitent

41. What is a constant function?
(-infinity - +infinity)
Line ascending to the right gradually
F(x^1)=f(x^2)
45 degree angle

42. What is the average rate of change formula?
Math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x2)-f(x1) / x2-x1
As equations

43. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
F(x)=IxI
Undefined slope
Y=b

44. What are the calculator instructions for a square root function?
Conditional
Function notation
2nd key - x^2 - graph
Equation of a line

45. 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?
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=suare root of x
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x+c) and f(x-c)
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 secant line
F of g and g of f

47. What equation does every line have? Discuss the variables.
Parabola - up one and right three
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.
When does a graph not define y as a function of x?
Any set of ordered pairs

48. Is a standard quadratic function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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)
Even

49. What is the formula for the standard cubic function?
2nd catalog (zero key -) abs(x) - graph
Function notation
In a quotient
F(x)=x^3

50. What is the formula for the cube root function?
X math 3 graph
Math 4 x - graph
F(x)=3 square root x
Yes - all the domains points to one range