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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. What does the absolute value function look like?
Even
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
A V

2. What does the square root function look like on a graph?
The slope of a line containing two points
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero
X math 3 graph

3. How do you graph Ax+By+C=0?
Neither
Three odd - cube root - identity - standard cubic
F(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points

4. What is the formula for 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.
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
The first set of components of an ordered pair

5. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Neither
X^2
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

6. What is an identity function?
Absolute Value - Constant and Standard Quadratic
Equation of a line
45 degree angle
(-infinity - 0]you[0 - +infinity)

7. What is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
F(x) = x
(-infinity - +infinity)

8. What is the point slope formula and when do you use it?
F(x^1)=f(x^2)
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Down

9. What is the formula for slope?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=3 square root x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic

10. What is the formula for an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
20+.05x=5+.10x x=minutes

11. What is the vertex?
Conditional
The minimum or maximum points
F(x+c) and f(x-c)
Zero slope

12. What type of slope do you have when a line falls left to right and m<0?
1 -2 -3
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative slope

13. x=no real numbers is what type of an equation?
Zero slope
Y
(-infinity - +infinity)
Inconsistant

14. Draw or discuss a constant function
Cannot be drawn in quizlet
Math 4 x - 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.
The minimum or maximum points

15. Draw or discuss a decreasing function
Down
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined

16. What is a constant function?
F(x^1)=f(x^2)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

17. Is the square root function odd - even or neither?
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero
Neither
2nd key - x^2 - graph

18. What type of line is an 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
The minimum or maximum points
45 degree angle
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

19. x=all real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)
Identity
45 degree angle

20. What is the domain for the standard cubic function?
Yes because two x's or domains can point to one y
Negative slope
(-infinity - +infinity)
Odd

21. Which direction does f(x)=+c move in standard absolute value formula?
Up
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

22. What is the slope of a perpendicular line?
F(x)=+c and f(x)-c
Negative inverse
Yes because two x's or domains can point to one y
The second set of components of an ordered pair

23. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Piecewise
Down
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

24. What does the average rate of change formula solve?
The slope of a line containing two points
1 -2 -3
Down
F(x+h)-f(x)/h h cannot equal zero

25. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
(-infinity - +infinity)
Yes - all the domains points to one range
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.

26. How are functions normally written?
(-infinity - +infinity)
45 degree angle
As equations
Identity

27. How are functions normally written?
As equations
Horizontal
Negative inverse
Cannot be drawn in quizlet

28. Is the standard cubic function odd - even or neither?
Parabola - up one and right three
Odd
F(x+h)-f(x)/h h cannot equal zero
Y=IxI

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

30. What is the domain for an absolute value function?
Inconsitent
Only one
F(x)=IxI
(-infinity - +infinity)

31. What are the calculator instructions for the cube root function?
Math 4 x - 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.
Down
X=a

32. What is a relation?
Any set of ordered pairs
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.
The slope of a line containing two points
Horizontal

33. What are the calculator instructions for the standard cubic function?
X math 3 graph
Undefined slope
As equations
Identity

34. Draw or discuss a decreasing function
Y= then enter the number then press graph
Cannot be drawn in quizlet
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What is another way of writing the absolute value function?
Y=IxI
Function notation
Y=x - identity function
No because you cannot have one domain pointing at two y's or ranges

36. What is the vertical line test?
When does a graph not define y as a function of x?
The secant line
F(x+c) and f(x-c)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. Of the seven of algebra's common graph's how many are odd?
As equations
Three odd - cube root - identity - standard cubic
Same
F(x) = x

38. What type of slope do you have when a line falls left to right and m<0?
Even
Negative slope
No because you cannot have one domain pointing at two y's or ranges
Odd

39. What is the standard quadratic function?
F(x+h)-f(x)/h h cannot equal zero
Because the demintor of a quotient can never equal zero
As many as you like
X^2

40. 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.
Only one
[0 -+infinity)
Undefined

41. What is the domain of a square root function?
F(x)=suare root of x
4 -6 -9
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)

42. x= a real number is what type of equation?
Y
Conditional
Square Root
Y=10

43. Two vertical lines side by side are a symbol for what
Parraelle line
Horizontal
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x

44. What is the domain and range of a constant function?
Up
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
(-infinity - +infinity)

45. What type of line is an identity function?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

46. What is the range for the standard cubic function?
(-infinity - +infinity)
X=a
Odd
Line ascending to the right gradually

47. What type of line is a constant function?
Y=b
Cannot be drawn in quizlet
Even
Horizontal

48. What type of slope do you have when a line rises from left to right and m>0?
Inconsistant
Postiive slope
Yes because two x's or domains can point to one y
The opposite coordinates

49. What type of slope do you have when m=? and the line is vertical?
Odd
Conditional
Undefined slope
Perpendicular line

50. In an identity function if f(10)=x than What is y?
Approach neg toward x through zero and above positive close to x
Y=10
Inconsistant
Parabola - up one and right three