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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. Of the seven of algebra's common graph's how many are odd?
Postiive slope
Yes because two x's or domains can point to one y
A V
Three odd - cube root - identity - standard cubic

2. What is the range of a square root function?
2nd catalog (zero key -) abs(x) - graph
Horizontal right
45 degree angle
[0 -+infinity)

3. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X^2
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Same

4. What is the letter used to represent slope?
Y= then enter the number then press graph
M
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal

5. A flat line underlining one vertical line is a symbol for...
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parraelle line
4 -6 -9
Perpendicular line

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Line ascending to the right gradually
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9
Y=b

7. What can never equal zero in the slope formula and why?
Square Root
Even
Up
X2-x1 because the demonaitor of a quotient can never equal zero

8. What is the range of the cube root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
1 -2 -3
Conditional
(-infinity - +infinity)

9. Is an identity function even - odd or neither?
Odd
Absolute Value - Constant and Standard Quadratic
1 -2 -3
As many as you like

10. Draw or discuss a decreasing function
In a quotient
Function notation
Cannot be drawn in quizlet
Y=b

11. What are the four steps for solving a linear equation?
Y=10
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.
A line passing through two distinct points
When does a graph not define y as a function of x?

12. Is a constant function even - odd or neither?
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.
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V

13. Two vertical lines side by side are a symbol for what
Function notation
The opposite coordinates
Parraelle line
F(x)=IxI

14. 4x+5x=8x is what type of an equation?
The secant line
Piecewise
F(x^1)=f(x^2)
Conditional

15. Is the square root function odd - even or neither?
Mirror image neg quadrant to that of the positive quandrant
Y
Neither
45 degree angle

16. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
(-infinity - +infinity)

17. What type of line is a constant function?
The slope of a line containing two points
Identity
Horizontal
Piecewise

18. What are the calculator instructions for the standard cubic function?
X math 3 graph
F(x) = x
Cannot be drawn in quizlet
The first set of components of an ordered pair

19. What is the vertical line formula?
X=a
Y=IxI
Parraelle line
Conditional

20. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
X^2
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a

21. What type of slope do you have when m=? and the line is vertical?
Down
Undefined slope
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

22. What is the formula for to calculate the difference of a quotient function?
Function notation
(-infinity - +infinity)
Horizontal left
F(x+h)-f(x)/h h cannot equal zero

23. What is the formula for the standard cubic function?
Undefined
F(x)=x^3
In a quotient
(-infinity - +infinity)

24. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
45 degree angle
20+.05x=5+.10x x=minutes
Parabola - up one and right three
Odd

25. What is slope?
F(x^1)=f(x^2)
Even
A line passing through two distinct points
Negative inverse

26. What type of slope do you have when a line rises from left to right and m>0?
Even
When does a graph not define y as a function of x?
Postiive slope
In a quotient

27. What is the slope of a perpendicular line?
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
Perpendicular line
Negative inverse

28. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X is the hours to repair the boat. $1603-532=anwser/63 = 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

29. What type of slope do vertical lines have?
Perpendicular line
[0 -+infinity)
Undefined
Because the demintor of a quotient can never equal zero

30. What is the domain of the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

31. What is another way of writing the absolute value function?
Y=IxI
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.
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=x^3

32. What are the algebra of functions?
Y= then enter the number then press graph
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
X2-x1 because the demonaitor of a quotient can never equal zero

33. What is the formula in both horizontal stretching and horizontal shrinking?
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1

34. What is a range?
Yes - all the domains points to one range
Yes - all the domains points to one range
(-infinity - +infinity)
The second set of components of an ordered pair

35. What is the formula for to calculate the difference of a quotient function?
Equation of a line
X math 3 graph
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y

36. standard absolute value - horizontal shift formulas for left and right
Horizontal right
F(x+c) and f(x-c)
Only one
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.

37. x= a real number is what type of equation?
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
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

38. What is the formula in both horizontal stretching and horizontal shrinking?
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The second set of components of an ordered pair
Cannot be drawn in quizlet

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

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

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41. Is a constant function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
As many as you like
Parabola - up one and right three

42. What is a relation?
Any set of ordered pairs
Inconsistant
X2-x1 because the demonaitor of a quotient can never equal zero
The single number y=

43. Which direction does f(x+c) move
Horizontal left
Identity
Inconsistant
Odd

44. How are functions normally written?
As equations
M
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

45. What is another way to write f(x)=x - what type of function is this?
X=a
Y=x - identity function
The secant line
Square Root

46. What is the formula for an absolute value function?
Y= then enter the number then press graph
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
F(x)=IxI

47. x= a real number is what type of equation?
(-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
In a quotient
Conditional

48. What is the horizontal line formula?
Same
The single number y=
Y=b
The opposite coordinates

49. What are the steps for solving a word problem?
X math 3 graph
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)=IxI
Yes - all the domains points to one range

50. What type of slope do you have when the line is horizontal and m=0?
Horizontal left
Zero slope
Yes because two x's or domains can point to one y
Negative inverse