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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. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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
Function notation

2. What is a constant function?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x^1)=f(x^2)

3. Draw or discuss a constant function
As many as you like
Cannot be drawn in quizlet
Horizontal right
Yes because two x's or domains can point to one y

4. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Horizontal left
Y=x^2 - graph
F of g and g of f

5. What is the range of an identity function?
(-infinity - +infinity)
Only one
F(x)=3 square root x
20+.05x=5+.10x x=minutes

6. What are the calculator instructions for the cube root function?
Y
(-infinity - +infinity)
Math 4 x - graph
F(x)=x^3

7. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(-infinity - 0]you[0 - +infinity)
Function notation
Three odd - cube root - identity - standard cubic

8. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
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= then enter the number then press graph
Same

9. What are the calculator instructions for the cube root function?
Up
1 -2 -3
Math 4 x - graph
Parabola - up one and right three

10. What is the range for the standard cubic 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
(-infinity - +infinity)
Negative inverse
Math 4 x - graph

11. x= a real number is what type of equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
[0 -+infinity)
Line ascending to the right gradually

12. What can never equal zero in the slope formula and why?
Perpendicular line
Negative inverse
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero

13. Is a standard quadratic function even - odd or neither?
Even
Parabola
Y=x - identity function
Y=b

14. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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.
1 -2 -3
45 degree angle
Y=x^2 - graph

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

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16. standard absolute value - vertical shift formulas for positve and negative
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)

17. Is the standard cubic function odd - even or neither?
Set the x and y to zero and get the intercepts and then plot the points
Odd
Conditional
No because you cannot have one domain pointing at two y's or ranges

18. What is the vertical line formula?
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The first set of components of an ordered pair
X=a

19. How would this formula move f(x)=(x+1)^2-3
The first set of components of an ordered pair
4 -6 -9
2nd key - x^2 - graph
Parabola - up one and right three

20. What type of line is a constant function?
Inconsistant
Line ascending to the right gradually
Horizontal
Zero slope

21. What is a relation?
20+.05x=5+.10x x=minutes
Any set of ordered pairs
F(x+h)-f(x)/h h cannot equal zero
Equation of a line

22. 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.
In a quotient
Conditional
(-infinity - +infinity)

23. How are functions normally written?
45 degree angle
20+.05x=5+.10x x=minutes
As equations
The single number y=

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

25. What are two examples of composit functions?
Down
(-infinity - 0]you[0 - +infinity)
F of g and g of f
(-infinity - +infinity)

26. What shape is the standard quadratic function?
(-infinity - +infinity)
Negative slope
Parabola
Horizontal

27. What does the average rate of change formula solve?
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points
F(x)=3 square root x
Undefined slope

28. What is the formula for an absolute value function?
Square Root
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)=IxI
No because you cannot have one domain pointing at two y's or ranges

29. $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?
(-infinity - +infinity)
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.
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
Even

30. What is the vertical line test?
F(x)=3 square root x
When does a graph not define y as a function of x?
Odd
Function notation

31. What is another way of writing the absolute value function?
Y=IxI
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=a
F(x) = x

32. What is the formula for the standard cubic function?
Cannot be drawn in quizlet
Neither
F(x)=x^3
Cannot be drawn in quizlet

33. Is an identity function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Square Root

34. What is the domain for an absolute value function?
Square Root
The first set of components of an ordered pair
Y=IxI
(-infinity - +infinity)

35. What type of line is an identity function?
45 degree angle
Identity
A V
1 -2 -3

36. What is the range of the constant function?
Horizontal
Even
The single number y=
(-infinity - +infinity)

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Inconsistant
4 -6 -9
Identity
Horizontal right

38. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function
1 -2 -3
Only one

39. Of the seven of algebra's common graph's how many are neither?
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
Y=x - identity function
F(x+c) and f(x-c)
Square Root

40. What are the four steps for solving a linear equation?
X = the original sale price and the formula is x - .40x =$276
Y
F(x)=suare root of x
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.

41. What is slope?
A line passing through two distinct points
Even
The first set of components of an ordered pair
X math 3 graph

42. Is the square root function odd - even or neither?
Undefined slope
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
Neither

43. What is the vertex?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Same
The minimum or maximum points

44. What is the letter used to represent slope?
M
Postiive slope
Zero slope
Y= then enter the number then press graph

45. What is the horizontal line formula?
F(x)=3 square root x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The opposite coordinates
Y=b

46. How do you calculate a constant function in your calculator?
[0 -+infinity)
(-infinity - +infinity)
Y= then enter the number then press graph
The single number y=

47. What is the domain of an identity function?
Function notation
No because you cannot have one domain pointing at two y's or ranges
45 degree angle
(-infinity - +infinity)

48. What is the formula for to calculate the difference of a quotient 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 - 0]you[0 - +infinity)
Odd
F(x+h)-f(x)/h h cannot equal zero

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The secant line
4 -6 -9
Postiive slope
Identity

50. What is the slope of a perpendicular line?
F(x+h)-f(x)/h h cannot equal zero
Undefined
Identity
Negative inverse