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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 points do you use to plot the inverse on a graph?
(-infinity - 0]you[0 - +infinity)
The opposite coordinates
Parraelle line
Cannot be drawn in quizlet

2. Draw or discuss a decreasing function
20+.05x=5+.10x x=minutes
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
Perpendicular line

3. What type of function would you use to calculate the most advantageous cell phone plan?
Zero slope
Piecewise
F(x)=x^3
Line ascending to the right gradually

4. Draw or discuss a constant function
Postiive slope
Inconsistant
Cannot be drawn in quizlet
(-infinity - +infinity)

5. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Identity
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)

6. 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.
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
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
Math 4 x - graph

7. What are the calculator instructions for a square root function?
F(x)=IxI
Identity
X=a
2nd key - x^2 - graph

8. 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.
X = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
As many as you like

9. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
As equations
Up
Odd

10. What is the range of a square root function?
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
[0 -+infinity)
20+.05x=5+.10x x=minutes
Perpendicular line

11. What type of line is a constant function?
X = the original sale price and the formula is x - .40x =$276
Horizontal
Conditional
X = the original sale price and the formula is x - .40x =$276

12. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Any set of ordered pairs
The single number y=
Parraelle line

13. What is a domain?
Zero slope
The first set of components of an ordered pair
Yes - all the domains points to one range
Even

14. Of the seven of algebra's common graph's how many are even?
The single number y=
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic

15. What is a function?
Even
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b

16. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Perpendicular line
Y=x^2 - graph
Even

17. Which direction does f(x)=+c move in standard absolute value formula?
F(x2)-f(x1) / x2-x1
A V
X is the hours to repair the boat. $1603-532=anwser/63 = x
Up

18. What type of slope do horizontal lines have?
Undefined slope
Same
The minimum or maximum points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

19. What are the four steps for finding the inverse of a function?
F(x)=+c and f(x)-c
Undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x) = x

20. What is the domain and range of a constant function?
Horizontal
(-infinity - +infinity)
Y=x - identity function
Up

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

22. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x2)-f(x1) / x2-x1

23. How do you calculate a constant function in your calculator?
X^2
In a quotient
The slope of a line containing two points
Y= then enter the number then press graph

24. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
Because the demintor of a quotient can never equal zero

25. What does the absolute value function look like?
A V
X^2
Y=x^2 - graph
X^2

26. What is the range for the standard cubic function?
Up
(-infinity - +infinity)
Parabola - up one and right three
Set the x and y to zero and get the intercepts and then plot the points

27. 4x+5x=8x is what type of an equation?
Y= then enter the number then press graph
Horizontal right
Conditional
Even

28. What type of function would you use to calculate the most advantageous cell phone plan?
X2-x1 because the demonaitor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero
Piecewise
Postiive slope

29. What are the algebra of functions?
F(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs

30. What does the square root function look like on a 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 second set of components of an ordered pair
Line ascending to the right gradually
(-infinity - +infinity)

31. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
X^2
Line ascending to the right gradually
Cannot be drawn in quizlet

32. Is a constant function even - odd or neither?
The second set of components of an ordered pair
Perpendicular line
Even
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

33. What is the slope intercept formula? Define all the variables.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Up
Mirror image neg quadrant to that of the positive quandrant

34. What direction does f(x)-c move in standard absolute value formula?
Math 4 x - graph
Down
Even
Parraelle line

35. What equation does every line have? Discuss the variables.
Horizontal right
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.
Same
The first set of components of an ordered pair

36. Is an absolute value function even - odd or neither?
Same
Inconsitent
[0 -+infinity)
Even

37. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The first set of components of an ordered pair
Yes - all the domains points to one range
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
20+.05x=5+.10x x=minutes

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Same
F(x)=x^3
Odd

39. What is the range of a square root function?
Identity
Any set of ordered pairs
The second set of components of an ordered pair
[0 -+infinity)

40. What is the slope of a perpendicular line?
Negative inverse
Y=10
Up
Yes because two x's or domains can point to one y

41. What is the formula for the square root function?
C>1 - horizontal shrinking
As equations
Yes - all the domains points to one range
F(x)=suare root of x

42. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Identity
(-infinity - +infinity)
(-infinity - +infinity)

43. What points do you use to plot the inverse on a graph?
The opposite coordinates
C>1 - horizontal shrinking
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero

44. Draw or discuss a decreasing function
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet
Conditional

45. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x

46. What is the domain of the cube root function?
Undefined slope
(-infinity - +infinity)
[0 -+infinity)
Postiive slope

47. 4(x-7)=4x-28 is what type of an equation?
Identity
Odd
When does a graph not define y as a function of x?
Up

48. Of the seven of algebra's common graph's how many are neither?
Square Root
Yes because two x's or domains can point to one y
F(x) = x
Inconsistant

49. f(x) = x^2+3x+5 - what type of formula is this?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
A line passing through two distinct points
Function notation

50. What is the point slope formula and when do you use it?
Equation of a line
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse