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 are the algebra of functions?
As equations
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x

2. What can never equal zero in the slope formula and why?
Odd
Same
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

3. Why can h not equal zero in the difference of a quotient function formula?
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1
Because the demintor of a quotient can never equal zero

4. What is slope?
Any set of ordered pairs
A line passing through two distinct points
Inconsistant
(-infinity - +infinity)

5. What is the horizontal line formula?
Even
Y=b
Yes because two x's or domains can point to one y
Only one

6. What does the absolute value function look like?
The minimum or maximum points
Horizontal
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
A V

7. What is the formula for the cube root function?
45 degree angle
F(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

8. What is the range of an identity function?
(-infinity - +infinity)
Negative inverse
Math 4 x - graph
F(x) = x

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

10. Which direction does f(x+c) move
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

11. What are the calculator instructions for the cube root function?
The secant line
(-infinity - +infinity)
Math 4 x - graph
F(x)=x^3

12. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
In a quotient
M
X2-x1 because the demonaitor of a quotient can never equal zero

13. What is the range of an identity function?
Yes - all the domains points to one range
Y
Y=x - identity function
(-infinity - +infinity)

14. What is the domain of a square root function?
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
Y=x^2 - graph
Identity

15. What is a relation?
Yes because two x's or domains can point to one y
Any set of ordered pairs
The single number y=
Conditional

16. What is a domain?
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.
The first set of components of an ordered pair
F of g and g of f
F(x)=3 square root x

17. What is the slope of a perpendicular line?
[0 -+infinity)
X^2
Negative inverse
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.

18. 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
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
Square Root

19. Is an absolute value function even - odd or neither?
Any set of ordered pairs
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a

20. What type of line is an identity function?
A V
45 degree angle
F(x)=x^3
Cannot be drawn in quizlet

21. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
Piecewise
Y=x - identity function
Approach neg toward x through zero and above positive close to x

22. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Cannot be drawn in quizlet
Negative slope
F(x^1)=f(x^2)

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

24. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F(x) = x
F(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair

25. What is the formula for an absolute value function?
Even
No because you cannot have one domain pointing at two y's or ranges
F(x)=IxI
(-infinity - +infinity)

26. What is the vertical line test?
When does a graph not define y as a function of x?
Y
F(x2)-f(x1) / x2-x1
Y=10

27. Draw or discuss an increasing function
(-infinity - 0]you[0 - +infinity)
Horizontal
Cannot be drawn in quizlet
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.

28. What is the vertical line test?
Math 4 x - graph
(-infinity - +infinity)
When does a graph not define y as a function of x?
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

29. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
A V

30. In an identity function if f(10)=x than What is y?
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y
X^2

31. What is the formula for an identity function?
[0 -+infinity)
The slope of a line containing two points
F(x) = x
Any set of ordered pairs

32. What is a constant function?
Approach neg toward x through zero and above positive close to x
In a quotient
F(x+c) and f(x-c)
F(x^1)=f(x^2)

33. What equation does every line have? Discuss the variables.
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(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Odd

34. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X = the original sale price and the formula is x - .40x =$276
20+.05x=5+.10x x=minutes
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. What is the domain and range of a constant function?
(-infinity - +infinity)
Y=x^2 - graph
Conditional
Yes - all the domains points to one range

36. What is the vertex?
Even
C>1 - horizontal shrinking
In a quotient
The minimum or maximum points

37. What are the four steps for finding the inverse of a function?
Horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Down
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.

38. What is the domain of the cube root function?
Conditional
2nd catalog (zero key -) abs(x) - graph
X=a
(-infinity - +infinity)

39. What can we substitute for f(x)?
Y
(-infinity - 0]you[0 - +infinity)
Even
(-infinity - +infinity)

40. What is the formula for the standard cubic function?
Undefined
Y
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero

41. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Identity
Square Root
X = the original sale price and the formula is x - .40x =$276
Y=x - identity function

42. How many ranges can you have for each domain?
Any set of ordered pairs
Conditional
Cannot be drawn in quizlet
Only one

43. What does the square root function look like on a graph?
Equation of a line
Even
(-infinity - +infinity)
Line ascending to the right gradually

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

45. 4x+5x=8x is what type of an equation?
Same
Conditional
The first set of components of an ordered pair
Cannot be drawn in quizlet

46. What is another way to write f(x)=x - what type of function is this?
Conditional
Y= then enter the number then press graph
As many as you like
Y=x - identity function

47. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
F(x) = x
F(x^1)=f(x^2)

48. What type of slope do you have when m=? and the line is vertical?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined slope
Neither
[0 -+infinity)

49. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
4 -6 -9
Up
F(x)=IxI

50. x= a real number is what type of equation?
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
Piecewise
F(x)=suare root of x
Conditional