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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. f(x) = x^2+3x+5 - what type of formula is this?
X math 3 graph
Function notation
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x

2. What is the domain for the standard cubic function?
(-infinity - +infinity)
In a quotient
Cannot be drawn in quizlet
F of g and g of f

3. Is the standard cubic function odd - even or neither?
45 degree angle
Odd
Y=IxI
Cannot be drawn in quizlet

4. What does the square root function look like on a graph?
In a quotient
Up
Line ascending to the right gradually
Any set of ordered pairs

5. x= a real number is what type of equation?
Math 4 x - graph
When does a graph not define y as a function of x?
Horizontal right
Conditional

6. Of the seven of algebra's common graph's how many are even?
F(x) = x
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph

7. x=no real numbers is what type of an equation?
F(x+c) and f(x-c)
Inconsistant
Any set of ordered pairs
Odd

8. What type of slope do you have when the line is horizontal and m=0?
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Zero slope
F(x)=3 square root x

9. What is the vertical line test?
Horizontal
When does a graph not define y as a function of x?
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. What does the average rate of change formula solve?
Identity
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points

11. What direction does f(x)-c move in standard absolute value formula?
X^2
Down
F(x^1)=f(x^2)
Zero slope

12. How many domains can you have pointing to one range?
The second set of components of an ordered pair
(-infinity - +infinity)
As many as you like
Identity

13. What is the formula in both horizontal stretching and horizontal shrinking?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x+c) and f(x-c)
X = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1

15. What is a relation?
(-infinity - +infinity)
Negative inverse
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs

16. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
Up
Parabola
Set the x and y to zero and get the intercepts and then plot the points

17. What is the point slope formula and when do you use it?
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line
Three odd - cube root - identity - standard cubic

18. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Postiive 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
In a quotient

19. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
When does a graph not define y as a function of x?
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.
(-infinity - +infinity)

20. How would this formula move f(x)=(x+1)^2-3
Odd
Parabola - up one and right three
(-infinity - +infinity)
F(x+c) and f(x-c)

21. Draw or discuss an increasing function
The second set of components of an ordered pair
M
F(x)=IxI
Cannot be drawn in quizlet

22. What type of slope do vertical lines have?
Up
Cannot be drawn in quizlet
Undefined
M

23. What is another way to write f(x)=x - what type of function is this?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Odd
Y=x - identity function

24. What is the domain of an identity function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
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

25. What is the formula for an identity function?
45 degree angle
F of g and g of f
Math 4 x - graph
F(x) = x

26. What is the range of the constant function?
Y= then enter the number then press graph
The first set of components of an ordered pair
Only one
The single number y=

27. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What type of line is a constant function?
Only one
0<c<1 - horizontal stretching
Horizontal
Approach neg toward x through zero and above positive close to x

29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - +infinity)
F(x)=IxI
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

30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
Parraelle line

31. What is a domain?
The first set of components of an ordered pair
Up
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal

32. {(1 -4)(2 -6)(3 -9)} what numbers are the 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.
4 -6 -9
The minimum or maximum points
A V

33. y=f(cx) - What does this formula represent?
The secant line
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking

34. What are the calculator instructions for the cube root function?
Same
2nd catalog (zero key -) abs(x) - graph
Math 4 x - graph
Cannot be drawn in quizlet

35. What is a range?
The second set of components of an ordered pair
Horizontal right
0<c<1 - horizontal stretching
Same

36. What is the formula for the cube root function?
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Function notation
Y

37. What type of slope do vertical lines have?
(-infinity - +infinity)
Y= then enter the number then press graph
Undefined
Set the x and y to zero and get the intercepts and then plot the points

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Because the demintor of a quotient can never equal zero
Zero slope
4 -6 -9
(-infinity - +infinity)

39. Is the standard cubic function odd - even or neither?
F(x)=3 square root x
When does a graph not define y as a function of x?
Perpendicular line
Odd

40. What is the domain for a standard quadratic function?
[0 -+infinity)
Negative inverse
(-infinity - +infinity)
The slope of a line containing two points

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

42. What does linear equation mean?
X^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
Undefined

43. What is another way of writing the absolute value function?
Y=IxI
F(x^1)=f(x^2)
Only one
X math 3 graph

44. What is the domain of the cube root function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal left
F(x)=3 square root x

45. What is the range of 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
Math 4 x - graph
The opposite coordinates

46. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
[0 -+infinity)
Only one
(-infinity - 0]you[0 - +infinity)

47. What is the slope of a perpendicular line?
Only one
Negative inverse
F of g and g of f
45 degree angle

48. standard absolute value - vertical shift formulas for positve and negative
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c

49. Two vertical lines side by side are a symbol for what
In a quotient
Parraelle line
A V
(-infinity - +infinity)

50. What type of line is a constant function?
Horizontal
(-infinity - +infinity)
Y=x^2 - graph
Odd