Test your basic knowledge |

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 a domain?
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
Cannot be drawn in quizlet

2. What is the formula for an identity function?
F(x) = x
Line ascending to the right gradually
Odd
X2-x1 because the demonaitor of a quotient can never equal zero

3. What equation does every line have? Discuss the variables.
The first set of components of an ordered pair
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.
C>1 - horizontal shrinking
Horizontal right

4. What is a range?
Y=10
As many as you like
X = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair

5. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - +infinity)
F(x)=3 square root x
When does a graph not define y as a function of x?

6. Is a standard quadratic function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Even
X math 3 graph

7. Is the standard cubic function odd - even or neither?
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
Equation of a line
Odd

8. What is the formula for an identity function?
The slope of a line containing two points
Cannot be drawn in quizlet
F(x) = x
Because the demintor of a quotient can never equal zero

9. What does linear equation mean?
Equation of a line
Odd
Up
Y=x^2 - graph

10. What is the range of the cube root function?
Y=x^2 - 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)
X = the original sale price and the formula is x - .40x =$276

11. What is the standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
X^2
As many as you like
2nd key - x^2 - graph

12. What is the formula for the cube root function?
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
When does a graph not define y as a function of x?
F(x)=3 square root x

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line

14. What are two examples of composit functions?
F of g and g of f
Only one
A V
(-infinity - +infinity)

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

16. What is another way to write f(x)=x - what type of function is this?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Y=x - identity function
X=a

17. What is the formula for the standard cubic function?
F(x+h)-f(x)/h h cannot equal zero
Negative inverse
F(x)=x^3
(-infinity - +infinity)

18. How many ranges can you have for each domain?
Only one
The slope of a line containing two points
(-infinity - +infinity)
[0 -+infinity)

19. What is the point slope formula and when do you use it?
(-infinity - 0]you[0 - +infinity)
No because you cannot have one domain pointing at two y's or ranges
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

20. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Negative inverse
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
F(x)=3 square root x

21. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
In a quotient
45 degree angle

22. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Even
(-infinity - +infinity)
Even

23. What is the point slope formula and when do you use it?
Square Root
Perpendicular line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root

24. What is the domain and range of a constant function?
The single number y=
Zero slope
(-infinity - +infinity)
1 -2 -3

25. Is the square root function odd - even or neither?
Line ascending to the right gradually
Parabola
Horizontal left
Neither

26. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
F(x) = x
Even

27. How do you graph Ax+By+C=0?
Y=10
Set the x and y to zero and get the intercepts and then plot the points
Same
Even

28. What type of slope do vertical lines have?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
Undefined

29. What does the average rate of change formula solve?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
Odd

30. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
F(x^1)=f(x^2)
When does a graph not define y as a function of x?
C>1 - horizontal shrinking

31. What type of slope do you have when a line falls left to right and m<0?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
Negative slope
[0 -+infinity)

32. What does the square root function look like on a graph?
Conditional
Perpendicular line
Line ascending to the right gradually
Equation of a line

33. What does linear equation mean?
4 -6 -9
Equation of a line
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)=3 square root x

34. What is the range of an identity function?
Cannot be drawn in quizlet
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)
The second set of components of an ordered pair

35. 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?
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
The single number y=

36. What is the formula for an absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line
F(x)=IxI
Inconsistant

37. What is a constant function?
Any set of ordered pairs
F(x^1)=f(x^2)
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

38. What type of line is a constant function?
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
Horizontal
F(x)=IxI

39. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=IxI
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Piecewise

40. What does the graph of the cube root function look like on the graph?
1 -2 -3
Only one
Approach neg toward x through zero and above positive close to x
The single number y=

41. Which direction does f(x+c) move
As equations
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
Horizontal left

42. What type of slope do you have when a line falls left to right and m<0?
The minimum or maximum points
Negative slope
Even
The secant line

43. What are the steps for solving a word problem?
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
(-infinity - +infinity)
Y=x^2 - graph

44. Draw or discuss a constant function
Cannot be drawn in quizlet
Even
The secant line
Equation of a line

45. How many domains can you have pointing to one range?
As many as you like
The opposite coordinates
20+.05x=5+.10x x=minutes
Y= then enter the number then press graph

46. Of the seven of algebra's common graph's how many are odd?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
Even

47. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
X = the original sale price and the formula is x - .40x =$276
A V
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

48. What is the vertex?
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x2)-f(x1) / x2-x1
The minimum or maximum points

49. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

50. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=x^3
The slope of a line containing two points
Even