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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. Of the seven of algebra's common graph's how many are neither?
Horizontal right
Square Root
Inconsistant
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.

2. x=all real numbers is what type of an equation?
X math 3 graph
Identity
Perpendicular line
As many as you like

3. What type of slope do horizontal lines have?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Same
Because the demintor of a quotient can never equal zero
Function notation

4. What does linear equation mean?
(-infinity - +infinity)
Equation of a line
(-infinity - +infinity)
Square Root

5. What does the absolute value function look like?
A V
As equations
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points

6. 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
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching

7. What is the range for the standard cubic function?
As equations
Down
(-infinity - +infinity)
Math 4 x - graph

8. What is the formula for an identity function?
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
Y=IxI
F(x) = x

9. What is a domain?
Y=10
The first set of components of an ordered pair
(-infinity - +infinity)
F(x)=x^3

10. 4(x-7)=4x+28 is what type of an equation?
The minimum or maximum points
F(x)=IxI
Inconsitent
2nd catalog (zero key -) abs(x) - graph

11. What type of slope do vertical lines have?
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
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.
Undefined slope
Undefined

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Even
Conditional
Even

13. What is the range of the cube root function?
Piecewise
The second set of components of an ordered pair
(-infinity - +infinity)
F(x)=suare root of x

14. x= a real number is what type of equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
X math 3 graph
Conditional

15. What is the range of the cube root function?
A V
Undefined
(-infinity - +infinity)
Parabola - up one and right three

16. What is the vertex?
M
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+g) - (f-g) - (fg) - (f/g) all of x
The minimum or maximum points

17. What is a relation?
Up
Identity
Any set of ordered pairs
Undefined

18. What is the average rate of change formula?
Y=b
F(x2)-f(x1) / x2-x1
Inconsitent
Equation of a line

19. Is a constant function even - odd or neither?
Even
Square Root
X math 3 graph
The single number y=

20. What is the domain of an identity function?
(-infinity - +infinity)
45 degree angle
Line ascending to the right gradually
Y=IxI

21. What is the point slope formula and when do you use it?
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal right
Conditional

22. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Same
20+.05x=5+.10x x=minutes
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

23. What is the horizontal line formula?
The first set of components of an ordered pair
Y=b
F(x)=x^3
The single number y=

24. 4(x-7)=4x-28 is what type of an equation?
As equations
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity

25. Draw or discuss a constant function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
Horizontal left

26. What type of slope do you have when the line is horizontal and m=0?
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
Parraelle line

27. 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
Any set of ordered pairs
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

28. What type of slope do you have when m=? and the line is vertical?
Undefined slope
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 hours to repair the boat. $1603-532=anwser/63 = x
Square Root

29. Which direction does f(x+c) move
Parraelle line
Horizontal left
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. How do you calculate a constant function in your calculator?
Even
F(x+h)-f(x)/h h cannot equal zero
Y= then enter the number then press graph
A V

31. Draw or discuss a decreasing function
Square Root
Undefined
Equation of a line
Cannot be drawn in quizlet

32. Of the seven of algebra's common graph's how many are neither?
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Zero slope
Undefined

33. What is the domain for an absolute value function?
(-infinity - +infinity)
Y
F(x)=x^3
Y=b

34. Is the standard cubic function odd - even or neither?
Cannot be drawn in quizlet
45 degree angle
Approach neg toward x through zero and above positive close to x
Odd

35. y=f(cx) - What does this formula represent?
Y=b
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking

36. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
A line passing through two distinct points
Yes because two x's or domains can point to one y
F(x)=IxI

37. What is the slope intercept formula? Define all the variables.
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=x^3
Approach neg toward x through zero and above positive close to x

38. What is a constant function?
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^1)=f(x^2)
Three odd - cube root - identity - standard cubic
Because the demintor of a quotient can never equal zero

39. A flat line underlining one vertical line is a symbol for...
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Perpendicular line

40. What does linear equation mean?
(f+g) - (f-g) - (fg) - (f/g) all of x
(f+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line
F(x)=suare root of x

41. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
Undefined
X math 3 graph

42. 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
[0 -+infinity)
F(x+c) and f(x-c)
Math 4 x - graph

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y= then enter the number then press graph
F(x^1)=f(x^2)

44. What is the formula for an absolute value function?
The second set of components of an ordered pair
F(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair

45. In an identity function if f(10)=x than What is y?
Function notation
Down
1 -2 -3
Y=10

46. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Parabola
Cannot be drawn in quizlet
The opposite coordinates

47. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
F of g and g of f

48. In an identity function if f(10)=x than What is y?
F of g and g of f
Conditional
A V
Y=10

49. What are the calculator instructions for the cube root function?
The secant line
Absolute Value - Constant and Standard Quadratic
Math 4 x - graph
F(x)=IxI

50. What is the domain and range of a constant function?
Conditional
(-infinity - +infinity)
Undefined slope
Postiive slope