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 the formula for an absolute value function?
F(x)=IxI
[0 -+infinity)
When does a graph not define y as a function of x?
Y=IxI

2. What is another way of writing the absolute value function?
20+.05x=5+.10x x=minutes
Only one
Y=IxI
(-infinity - +infinity)

3. What is the vertex?
Neither
No because you cannot have one domain pointing at two y's or ranges
The minimum or maximum points
Inconsitent

4. What type of line is an identity function?
45 degree angle
Down
Even
Postiive slope

5. How many domains can you have pointing to one range?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes - all the domains points to one range
Set the x and y to zero and get the intercepts and then plot the points
As many as you like

6. What type of line is a constant function?
Conditional
Horizontal
C>1 - horizontal shrinking
Parabola - up one and right three

7. Is the square root function odd - even or neither?
F(x)=+c and f(x)-c
Neither
Even
Undefined

8. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Y=x - identity function
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
Yes - all the domains points to one range

9. Is a standard quadratic function even - odd or neither?
Parraelle line
Negative inverse
Zero slope
Even

10. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Any set of ordered pairs
Y= then enter the number then press graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. 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?
X=a
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x^1)=f(x^2)
(-infinity - +infinity)

12. What are the calculator instructions for the cube root function?
Math 4 x - graph
(-infinity - +infinity)
45 degree angle
Horizontal

13. 4(x-7)=4x-28 is what type of an equation?
Identity
A line passing through two distinct points
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

14. What is an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Neither
45 degree angle
(-infinity - +infinity)

15. x= a real number is what type of equation?
Conditional
Y=x^2 - graph
Any set of ordered pairs
Math 4 x - graph

16. Of the seven of algebra's common graph's how many are even?
Function notation
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
[0 -+infinity)

17. What is a function?
Zero slope
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined

18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
When does a graph not define y as a function of x?
The opposite coordinates
F(x+c) and f(x-c)
4 -6 -9

19. What is the range of the cube root function?
(-infinity - +infinity)
[0 -+infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
As many as you like

20. How are functions normally written?
As equations
The first set of components of an ordered pair
The second set of components of an ordered pair
Postiive slope

21. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Inconsistant
Up
Negative inverse

22. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Down
Approach neg toward x through zero and above positive close to x
Inconsistant

23. 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.
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
F(x^1)=f(x^2)

24. What direction does f(x)-c move in standard absolute value formula?
Perpendicular line
The opposite coordinates
(-infinity - +infinity)
Down

25. What does the average rate of change formula solve?
Negative slope
X=a
(-infinity - +infinity)
The slope of a line containing two points

26. What is the slope of a perpendicular line?
Y= then enter the number then press graph
Horizontal
When does a graph not define y as a function of x?
Negative inverse

27. What is the formula for slope?
(-infinity - +infinity)
Any set of ordered pairs
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1

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

29. What is an identity function?
45 degree angle
Identity
4 -6 -9
F of g and g of f

30. What type of function would you use to calculate the most advantageous cell phone plan?
Horizontal right
Piecewise
Y= then enter the number then press graph
Y=x - identity function

31. Is a constant function even - odd or neither?
Identity
The second set of components of an ordered pair
Even
Odd

32. What type of line is a constant function?
Horizontal
As equations
Same
(-infinity - +infinity)

33. What is the vertical line test?
Parabola
When does a graph not define y as a function of x?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x

34. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
Horizontal
Postiive slope
Negative slope

35. What is the domain and range of a constant function?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

36. Of the seven of algebra's common graph's how many are neither?
Square Root
Odd
Odd
1 -2 -3

37. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
Same
Function notation
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

38. Is an absolute value function even - odd or neither?
Line ascending to the right gradually
Even
(-infinity - +infinity)
Undefined slope

39. What is the range of a square root function?
Y= then enter the number then press graph
A V
X math 3 graph
[0 -+infinity)

40. What are the steps for solving a word problem?
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
Even
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.
Horizontal left

41. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

42. 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^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
(-infinity - +infinity)
Inconsitent

43. y=f(cx) - What does this formula represent?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking

44. Is an absolute value function even - odd or neither?
Negative slope
F(x) = x
Three odd - cube root - identity - standard cubic
Even

45. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Y=x - identity function
Down
As equations

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

47. Is a standard quadratic function even - odd or neither?
A line passing through two distinct points
2nd key - x^2 - graph
(-infinity - +infinity)
Even

48. What is the letter used to represent slope?
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
Undefined slope
F of g and g of f
M

49. Two vertical lines side by side are a symbol for what
C>1 - horizontal shrinking
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line

50. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
F(x+c) and f(x-c)