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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. {(1 -4)(2 -6)(3 -9)} what numbers are the 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.
(-infinity - 0]you[0 - +infinity)
1 -2 -3
The single number y=

2. What does the square root function look like on a graph?
Line ascending to the right gradually
X math 3 graph
Yes because two x's or domains can point to one y
The single number y=

3. What is the vertical line test?
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges
Negative slope
F(x)=+c and f(x)-c

4. What is the standard quadratic function?
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
X^2
Y=IxI

5. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Identity
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually

6. What type of function would you use to calculate the most advantageous cell phone plan?
Odd
A line passing through two distinct points
Piecewise
(-infinity - +infinity)

7. What are the calculator instructions for absolute value?
(-infinity - +infinity)
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

8. Draw or discuss a constant function
Y
A line passing through two distinct points
Cannot be drawn in quizlet
Undefined

9. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
Inconsistant
X math 3 graph
Horizontal left

10. 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.
Even
Perpendicular line
X2-x1 because the demonaitor of a quotient can never equal zero

11. What type of slope do you have when a line rises from left to right and m>0?
Perpendicular line
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up

12. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Undefined 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
Parraelle line
Approach neg toward x through zero and above positive close to x

13. What is a constant function?
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276
F(x) = x
F(x^1)=f(x^2)

14. Is an absolute value function even - odd or neither?
Even
Conditional
Y=x^2 - graph
(-infinity - +infinity)

15. How many ranges can you have for each domain?
Only one
45 degree angle
Cannot be drawn in quizlet
Y=x^2 - graph

16. What equation does every line have? Discuss the variables.
Undefined
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.
2nd key - x^2 - graph
2nd catalog (zero key -) abs(x) - graph

17. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent
F(x2)-f(x1) / x2-x1

18. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
Conditional
Approach neg toward x through zero and above positive close to x
Y=b

19. What is the domain of a square root function?
Y= then enter the number then press graph
[0 -+infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

20. What is the domain for the standard cubic function?
Three odd - cube root - identity - standard cubic
Square Root
Inconsitent
(-infinity - +infinity)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Zero slope
(-infinity - 0]you[0 - +infinity)
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.
1 -2 -3

22. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Undefined slope
0<c<1 - horizontal stretching
F of g and g of f

23. What is the range of the constant function?
Even
F(x2)-f(x1) / x2-x1
The single number y=
X2-x1 because the demonaitor of a quotient can never equal zero

24. What is a relation?
Any set of ordered pairs
Odd
F(x)=IxI
F(x)=3 square root x

25. Which direction does f(x+c) move
Inconsitent
Horizontal left
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

26. 4(x-7)=4x-28 is what type of an equation?
Odd
Cannot be drawn in quizlet
Identity
Parabola

27. What is the horizontal line formula?
F(x)=suare root of x
Equation of a line
Y=b
The single number y=

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
Odd
F(x)=x^3

29. What points do you use to plot the inverse on a graph?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
4 -6 -9
The opposite coordinates

30. 4x+5x=8x is what type of an equation?
Horizontal right
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

31. What does the square root function look like on a graph?
Line ascending to the right gradually
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

32. What type of slope do you have when m=? and the line is vertical?
Perpendicular line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined slope
Neither

33. How many ranges can you have for each domain?
Only one
4 -6 -9
Square Root
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.

34. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Conditional
Only one
Odd

35. What type of line is an identity function?
The secant line
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.
45 degree angle
Y

36. What does the average rate of change formula solve?
The slope of a line containing two points
Even
Identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. When is the only time (-infinity - +infinity) is not the domain?
Inconsistant
In a quotient
F(x+c) and f(x-c)
Even

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

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39. What is another way of writing the absolute value function?
Y=IxI
Same
Undefined
Y=x - identity function

40. Draw or discuss an increasing function
Three odd - cube root - identity - standard cubic
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
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

41. How do you calculate a constant function in your calculator?
A V
The minimum or maximum points
The first set of components of an ordered pair
Y= then enter the number then press graph

42. What is the formula for the cube root function?
(-infinity - 0]you[0 - +infinity)
Parabola
Parabola - up one and right three
F(x)=3 square root x

43. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Y=IxI
45 degree angle
No because you cannot have one domain pointing at two y's or ranges

44. y=f(cx) - What does this formula represent?
Postiive slope
C>1 - horizontal shrinking
X^2
Approach neg toward x through zero and above positive close to x

45. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

46. What is the range of the cube root function?
(-infinity - +infinity)
F(x+c) and f(x-c)
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x

47. What is a range?
Identity
Horizontal right
The second set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)

48. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
F(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent

49. Is an identity function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
F(x)=IxI
Horizontal
Odd

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
Only one