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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 are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Conditional
Y=x^2 - graph
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.

2. What is a domain?
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
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

3. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x)=+c and f(x)-c
F(x) = x
Y=x - identity function
1 -2 -3

4. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Horizontal
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. What does the standard cubic function look like on a graph?
Parraelle line
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Down

6. What points do you use to plot the inverse on a graph?
The first set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
The opposite coordinates
Same

7. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Piecewise
The secant line
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.

8. What is the domain of the cube root function?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

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

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10. When is the only time (-infinity - +infinity) is not the domain?
Identity
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
In a quotient

11. A flat line underlining one vertical line is a symbol for...
Perpendicular line
F(x)=+c and f(x)-c
The slope of a line containing two points
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.

12. 4x+5x=8x is what type of an equation?
In a quotient
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional

13. What is the slope of a perpendicular line?
Negative inverse
1 -2 -3
(-infinity - +infinity)
Same

14. What type of line is a constant function?
Horizontal
F(x+h)-f(x)/h h cannot equal zero
Parraelle line
Undefined

15. Is an absolute value function even - odd or neither?
The second set of components of an ordered pair
The opposite coordinates
Even
The second set of components of an ordered pair

16. Draw or discuss an increasing function
Cannot be drawn in quizlet
Equation of a line
Y=IxI
Even

17. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
X math 3 graph
(-infinity - +infinity)

18. What is the average rate of change formula?
Up
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Even

19. What is the vertical line formula?
(-infinity - +infinity)
Negative slope
X=a
Odd

20. What is slope?
The secant line
X^2
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points

21. What is the vertex?
Parabola - up one and right three
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.
Conditional
The minimum or maximum points

22. What is a function?
Undefined
Approach neg toward x through zero and above positive close to x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd

23. Is a standard quadratic function even - odd or neither?
Even
Inconsistant
Inconsitent
Identity

24. What does the average rate of change formula solve?
No because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The slope of a line containing two points
A V

25. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

26. What type of slope do you have when the line is horizontal and m=0?
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Zero slope
Horizontal left

27. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
F(x)=suare root of x
Perpendicular line

28. What is the domain and range of a constant function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
Neither

29. What is the range of the cube root function?
(-infinity - +infinity)
Neither
F(x)=suare root of x
Horizontal

30. 4(x-7)=4x-28 is what type of an equation?
Identity
45 degree angle
Piecewise
Horizontal

31. What are the calculator instructions for the cube root function?
F(x)=3 square root x
Math 4 x - graph
M
Odd

32. What is the formula for to calculate the difference of a quotient function?
Negative slope
Yes because two x's or domains can point to one y
F(x+h)-f(x)/h h cannot equal zero
Conditional

33. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Parraelle line
(-infinity - +infinity)
Perpendicular line
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

34. What is the range of an identity function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=IxI
In a quotient
(-infinity - +infinity)

35. What are the four steps for finding the inverse of a function?
Y=x^2 - graph
F(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd

36. 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
45 degree angle
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points

37. What is a range?
F(x)=x^3
Cannot be drawn in quizlet
The second set of components of an ordered pair
Y=x^2 - graph

38. Is an identity function even - odd or neither?
Odd
A line passing through two distinct points
Y=x - identity function
F(x)=x^3

39. How many domains can you have pointing to one range?
[0 -+infinity)
As many as you like
Same
(-infinity - +infinity)

40. What are two examples of composit functions?
F of g and g of f
Horizontal right
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 first set of components of an ordered pair

41. Of the seven of algebra's common graph's how many are neither?
As many as you like
0<c<1 - horizontal stretching
M
Square Root

42. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
Even

43. What is the formula for an identity function?
Even
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
F(x) = x

44. What is the range of the constant function?
Cannot be drawn in quizlet
X=a
The single number y=
F(x)=x^3

45. What can we substitute for f(x)?
X is the hours to repair the boat. $1603-532=anwser/63 = x
No because you cannot have one domain pointing at two y's or ranges
Y
Only one

46. What is the range for an absolute value function?
F(x) = x
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What is the formula for slope?
[0 -+infinity)
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually

48. What are the algebra of functions?
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola
4 -6 -9

49. What does linear equation mean?
(-infinity - +infinity)
Equation of a line
M
Y=IxI

50. Draw or discuss an increasing function
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Postiive slope
As equations