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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. 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
20+.05x=5+.10x x=minutes
Odd
A line passing through two distinct points

2. What type of slope do you have when a line falls left to right and m<0?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative slope
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
Odd

3. How many ranges can you have for each domain?
Only one
Identity
2nd key - x^2 - graph
Absolute Value - Constant and Standard Quadratic

4. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
Parabola - up one and right three
Even
Absolute Value - Constant and Standard Quadratic

5. What points do you use to plot the inverse on a graph?
M
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 opposite coordinates
(-infinity - +infinity)

6. What is the formula in both horizontal stretching and horizontal shrinking?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Negative slope

7. What shape is the standard quadratic function?
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
Parabola
The minimum or maximum points
Horizontal left

8. What is a range?
The second set of components of an ordered pair
As equations
(-infinity - +infinity)
Y=IxI

9. Of the seven of algebra's common graph's how many are neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
F of g and g of f
Y=IxI

10. What are the calculator instructions for 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
2nd key - x^2 - graph
In a quotient
Line ascending to the right gradually

11. What type of slope do horizontal lines have?
Same
Zero slope
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.
Cannot be drawn in quizlet

12. What is the slope intercept formula? Define all the variables.
M
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
Because the demintor of a quotient can never equal zero

13. What is the domain of a square root function?
F(x^1)=f(x^2)
[0 -+infinity)
Parraelle line
F(x)=3 square root x

14. What type of slope do horizontal lines have?
Negative inverse
Yes - all the domains points to one range
F of g and g of f
Same

15. What can we substitute for f(x)?
(-infinity - +infinity)
Y
Cannot be drawn in quizlet
Negative inverse

16. What does the square root function look like on a graph?
[0 -+infinity)
Conditional
Y=b
Line ascending to the right gradually

17. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
Math 4 x - graph
Identity
45 degree angle

18. What is the vertical line formula?
X=a
Line ascending to the right gradually
Parabola - up one and right three
(-infinity - +infinity)

19. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
Horizontal
1 -2 -3
C>1 - horizontal shrinking

20. What is the formula for slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x2)-f(x1) / x2-x1

21. What are the four steps for finding the inverse of a function?
F(x^1)=f(x^2)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
No because you cannot have one domain pointing at two y's or ranges

22. What does the average rate of change formula solve?
As equations
The slope of a line containing two points
(-infinity - +infinity)
Horizontal

23. Is the square root function odd - even or neither?
Neither
F of g and g of f
Perpendicular line
Yes because two x's or domains can point to one y

24. What direction does f(x)-c move in standard absolute value formula?
C>1 - horizontal shrinking
Down
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.
X2-x1 because the demonaitor of a quotient can never equal zero

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Same
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

26. What does the average rate of change formula solve?
(-infinity - +infinity)
Piecewise
The slope of a line containing two points
X math 3 graph

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Identity
Conditional
Parabola - up one and right three

28. Is the standard cubic function odd - even or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
Neither
Yes - all the domains points to one range

29. Is an identity function even - odd or neither?
The slope of a line containing two points
The first set of components of an ordered pair
Y=IxI
Odd

30. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
2nd key - x^2 - graph
(-infinity - +infinity)
Square Root

31. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Horizontal left
Cannot be drawn in quizlet
F(x^1)=f(x^2)

32. What points do you use to plot the inverse on a graph?
The opposite coordinates
4 -6 -9
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
F(x+h)-f(x)/h h cannot equal zero

33. What is the average rate of change formula?
1 -2 -3
The opposite coordinates
The single number y=
F(x2)-f(x1) / x2-x1

34. Draw or discuss a decreasing function
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points
Cannot be drawn in quizlet

35. What is the vertex?
Parraelle line
No because you cannot have one domain pointing at two y's or ranges
Identity
The minimum or maximum points

36. $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?
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
Set the x and y to zero and get the intercepts and then plot the points
Neither
Even

37. Which direction does f(x)=+c move in standard absolute value formula?
Y=x^2 - graph
Y= then enter the number then press graph
Up
2nd key - x^2 - graph

38. Is an absolute value function even - odd or neither?
C>1 - horizontal shrinking
Parraelle line
[0 -+infinity)
Even

39. What is the formula for the cube root function?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
F(x)=3 square root x
C>1 - horizontal shrinking

40. What is the point slope formula and when do you use it?
X2-x1 because the demonaitor of a quotient can never equal zero
The second set of components of an ordered pair
F(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

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42. What is the formula for slope?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
As equations

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The single number y=
As many as you like
X = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph

44. Is a standard quadratic function even - odd or neither?
0<c<1 - horizontal stretching
Even
Parabola - up one and right three
Math 4 x - graph

45. What type of line is a constant function?
F(x) = x
Horizontal
Cannot be drawn in quizlet
Inconsitent

46. Is a standard quadratic function even - odd or neither?
Piecewise
Even
X = the original sale price and the formula is x - .40x =$276
As many as you like

47. What is the domain and range of a constant function?
Down
Odd
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

48. What is the range for an absolute value function?
[0 -+infinity)
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
(-infinity - 0]you[0 - +infinity)

49. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Set the x and y to zero and get the intercepts and then plot the points
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
X2-x1 because the demonaitor of a quotient can never equal zero
Undefined

50. What is the domain of an identity function?
[0 -+infinity)
Horizontal left
(-infinity - +infinity)
Horizontal right