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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. x=no real numbers is what type of an equation?
Any set of ordered pairs
Negative inverse
(-infinity - +infinity)
Inconsistant

2. x= a real number is what type of equation?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Conditional
(-infinity - +infinity)

3. What is 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
Up
[0 -+infinity)
A line passing through two distinct points

4. How many domains can you have pointing to one range?
As many as you like
When does a graph not define y as a function of x?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle

5. Which direction does f(x-c) move
Identity
Horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x
Neither

6. What is the formula for to calculate the difference of a quotient function?
F(x)=suare root of x
F(x)=suare root of x
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero

7. 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.
Conditional
(-infinity - +infinity)
F(x)=+c and f(x)-c

8. Two vertical lines side by side are a symbol for what
Parraelle line
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola - up one and right three

9. Draw or discuss a decreasing function
Cannot be drawn in quizlet
C>1 - horizontal shrinking
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
2nd catalog (zero key -) abs(x) - graph

10. What is the formula for an identity function?
20+.05x=5+.10x x=minutes
Conditional
Even
F(x) = x

11. What shape is the standard quadratic function?
F(x) = x
2nd key - x^2 - graph
Parabola
In a quotient

12. What is the domain of a square root function?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Only one

13. How do you graph Ax+By+C=0?
Because the demintor of a quotient can never equal zero
F of g and g of f
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points

14. What type of slope do you have when a line falls left to right and m<0?
Because the demintor of a quotient can never equal 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
Negative slope
As many as you like

15. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Horizontal
X = the original sale price and the formula is x - .40x =$276
Odd

16. Is an identity function even - odd or neither?
(-infinity - +infinity)
Identity
(-infinity - +infinity)
Odd

17. What is the range of a square root function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points
Equation of a line
[0 -+infinity)

18. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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.
X=a
Mirror image neg quadrant to that of the positive quandrant

19. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
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.
Identity
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

20. 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)
F(x+h)-f(x)/h h cannot equal zero
F(x^1)=f(x^2)

21. How many ranges can you have for each domain?
F(x)=x^3
Up
As many as you like
Only one

22. What type of slope do you have when m=? and the line is vertical?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined slope
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.

23. What is the formula for an identity 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
The second set of components of an ordered pair
F(x) = x
Negative slope

24. What type of line is a constant function?
Horizontal
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.
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. What is a constant function?
Odd
Zero slope
F(x^1)=f(x^2)
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

26. What type of slope do you have when m=? and the line is vertical?
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
Undefined slope
Negative inverse

27. What is another way of writing the absolute value function?
45 degree angle
A V
Y=10
Y=IxI

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

29. What direction does f(x)-c move in standard absolute value formula?
Down
2nd catalog (zero key -) abs(x) - graph
Undefined slope
X2-x1 because the demonaitor of a quotient can never equal zero

30. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
A V
X math 3 graph
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes

31. What is the slope of a perpendicular line?
Negative inverse
Y=IxI
Horizontal right
F(x)=suare root of x

32. What is the range of the constant function?
Zero slope
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

33. What is the formula for the standard cubic function?
F(x)=x^3
Y
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1

34. $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?
Y=x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair
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

35. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X^2
20+.05x=5+.10x x=minutes
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function

36. What is a constant function?
F(x^1)=f(x^2)
The single number y=
Function notation
Y=x^2 - graph

37. What is the range of the cube root function?
Line ascending to the right gradually
F(x) = x
(-infinity - +infinity)
Odd

38. Is the square root function odd - even or neither?
(-infinity - 0]you[0 - +infinity)
Neither
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
Absolute Value - Constant and Standard Quadratic

39. What is the standard quadratic function?
Square Root
45 degree angle
X^2
0<c<1 - horizontal stretching

40. Is an identity function even - odd or neither?
F(x^1)=f(x^2)
Odd
Y=x^2 - graph
The first set of components of an ordered pair

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
Y=x^2 - graph
Yes - all the domains points to one range

42. In an identity function if f(10)=x than What is y?
Y=b
When does a graph not define y as a function of x?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10

43. What are two examples of composit functions?
Set the x and y to zero and get the intercepts and then plot the points
F of g and g of f
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)
45 degree angle

45. What are the calculator instructions for a standard quadratic equation?
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function
Y=x^2 - graph

46. What does linear equation mean?
Equation of a line
45 degree angle
F(x)=IxI
F(x)=suare root of x

47. What type of line is an identity function?
Horizontal
2nd catalog (zero key -) abs(x) - graph
45 degree angle
M

48. What are the steps for solving a word problem?
Zero slope
[0 -+infinity)
Parabola
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

49. How do you calculate a constant function in your calculator?
[0 -+infinity)
F(x) = x
Y= then enter the number then press graph
Up

50. What are the calculator instructions for the cube root function?
Math 4 x - graph
Y
(-infinity - +infinity)
F(x^1)=f(x^2)