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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 type of slope do you have when the line is horizontal and m=0?
Zero slope
[0 -+infinity)
Math 4 x - graph
Perpendicular line

2. What type of line is a constant function?
X^2
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function

3. What are the four steps for solving a linear equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
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.
Parabola

4. What is the slope intercept formula? Define all the variables.
Horizontal right
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd key - x^2 - graph

5. What does linear equation mean?
Piecewise
Function notation
Equation of a line
F(x2)-f(x1) / x2-x1

6. 4(x-7)=4x+28 is what type of an equation?
Y=10
Conditional
Y=IxI
Inconsitent

7. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Zero slope
F(x)=suare root of x
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

8. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Postiive slope
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.

9. What is the line called that illustrates the straight line between the two points when showing average rate of change?
20+.05x=5+.10x x=minutes
The secant line
Parraelle line
Neither

10. What type of slope do horizontal lines have?
Same
Y=IxI
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

11. Draw or discuss a constant function
Cannot be drawn in quizlet
F(x+c) and f(x-c)
1 -2 -3
X=a

12. What are the calculator instructions for a standard quadratic equation?
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
Y=x^2 - graph

13. Is a constant function even - odd or neither?
Even
1 -2 -3
When does a graph not define y as a function of x?
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

14. What shape is the standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola
Y=IxI
Negative inverse

15. What are the four steps for finding the inverse of a function?
0<c<1 - horizontal stretching
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
F(x)=3 square root x

16. What is the domain and range of a constant function?
(-infinity - +infinity)
Conditional
F of g and g of f
[0 -+infinity)

17. What is the range of an identity function?
F(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

18. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
As equations
Square Root
45 degree angle

19. What is the formula for an absolute value function?
Equation of a line
F(x)=IxI
Three odd - cube root - identity - standard cubic
Horizontal right

20. What can we substitute for f(x)?
Y=IxI
Postiive slope
Y
(-infinity - +infinity)

21. What is the domain of the cube root function?
1 -2 -3
(-infinity - +infinity)
0<c<1 - horizontal stretching
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

22. What is the letter used to represent slope?
M
Y
C>1 - horizontal shrinking
Odd

23. What is a relation?
Yes - all the domains points to one range
Neither
Any set of ordered pairs
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

24. What are the calculator instructions for the cube root function?
1 -2 -3
F(x)=IxI
(-infinity - +infinity)
Math 4 x - graph

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

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26. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
4 -6 -9
(-infinity - 0]you[0 - +infinity)

27. How do you graph Ax+By+C=0?
Y=10
Inconsitent
Set the x and y to zero and get the intercepts and then plot the points
Conditional

28. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
F(x)=IxI

29. Which direction does f(x)=+c move in standard absolute value formula?
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.
Odd
Y=x - identity function
Up

30. What points do you use to plot the inverse on a graph?
Y=x^2 - graph
F(x+c) and f(x-c)
Undefined slope
The opposite coordinates

31. What is the formula for the cube root function?
F(x)=3 square root x
F(x)=x^3
Negative inverse
The slope of a line containing two points

32. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Conditional
1 -2 -3

33. What type of line is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Only one
Undefined slope
Horizontal

34. Why can h not equal zero in the difference of a quotient function formula?
As many as you like
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
Absolute Value - Constant and Standard Quadratic

35. What is a domain?
The second set of components of an ordered pair
The first set of components of an ordered pair
Cannot be drawn in quizlet
4 -6 -9

36. x=no real numbers is what type of an equation?
Conditional
Y= then enter the number then press graph
F(x)=x^3
Inconsistant

37. Which direction does f(x+c) move
Horizontal left
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
Up
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

38. Is an absolute value function even - odd 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
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)
Even

39. What is the domain for the standard cubic function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
2nd key - x^2 - graph

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
Only one

41. Two vertical lines side by side are a symbol for what
Y= then enter the number then press graph
(-infinity - +infinity)
Parraelle line
Y=IxI

42. What is the range of the cube 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
Down
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. What is the domain of a square root function?
[0 -+infinity)
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

44. What are the calculator instructions for a square root function?
Negative inverse
2nd key - x^2 - graph
Y=IxI
In a quotient

45. What are the four steps for solving a linear equation?
X^2
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Y= then enter the number then press graph

46. What is the point slope formula and when do you use it?
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
Approach neg toward x through zero and above positive close to x

47. What type of slope do you have when a line rises from left to right and m>0?
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
Postiive slope
X2-x1 because the demonaitor of a quotient can never equal zero
The second set of components of an ordered pair

48. Is the square root function odd - even or neither?
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Neither
0<c<1 - horizontal stretching

49. How do you graph Ax+By+C=0?
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.
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
Parraelle line

50. Of the seven of algebra's common graph's how many are even?
Square Root
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
45 degree angle

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College Algebra Test

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