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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 can never equal zero in the slope formula and why?
F(x)=IxI
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal

2. What is the letter used to represent slope?
Cannot be drawn in quizlet
(-infinity - +infinity)
M
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

3. What type of slope do you have when a line rises from left to right and m>0?
20+.05x=5+.10x x=minutes
Postiive 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
Piecewise

4. Is the square root function odd - even or neither?
Piecewise
Neither
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=3 square root x

5. How are functions normally written?
2nd key - x^2 - graph
As equations
(-infinity - +infinity)
X^2

6. What is another way to write f(x)=x - what type of function is this?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
Y=x - identity function
(-infinity - +infinity)

7. What is the vertex?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsitent
M
The minimum or maximum points

8. What is the domain for a standard quadratic function?
(-infinity - +infinity)
X=a
The secant line
45 degree angle

9. What type of slope do you have when a line falls left to right and m<0?
Piecewise
Negative slope
Neither
Negative inverse

10. What is the formula for the square root function?
Undefined slope
F(x)=suare root of x
Horizontal
45 degree angle

11. What are the calculator instructions for the standard cubic function?
Even
(-infinity - +infinity)
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.
X math 3 graph

12. What does linear equation mean?
Y=10
Equation of a line
1 -2 -3
Even

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

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14. What type of line is an identity function?
Postiive slope
45 degree angle
(-infinity - +infinity)
2nd key - x^2 - graph

15. Of the seven of algebra's common graph's how many are even?
As many as you like
F(x)=IxI
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.
Absolute Value - Constant and Standard Quadratic

16. x=all real numbers is what type of an equation?
Identity
(-infinity - +infinity)
Parraelle line
F(x)=suare root of x

17. What is the domain for an absolute value function?
Neither
Horizontal
(-infinity - +infinity)
As equations

18. What is the range of the constant function?
X=a
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
Equation of a line
The single number y=

19. What is the formula for the standard cubic 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
F(x) = x
F(x)=x^3
Perpendicular line

20. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Undefined slope
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x

21. 4(x-7)=4x-28 is what type of an equation?
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)=suare root of x
Negative inverse
Identity

22. $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)
As many as you like
F(x2)-f(x1) / x2-x1
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

23. What is a domain?
A line passing through two distinct 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
The first set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges

24. What is a range?
X=a
The second set of components of an ordered pair
The slope of a line containing two points
F(x)=x^3

25. What does the average rate of change formula solve?
0<c<1 - horizontal stretching
The slope of a line containing two points
Y=IxI
45 degree angle

26. What is the range for an absolute value function?
Neither
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
F(x)=suare root of x

27. 4x+5x=8x is what type of an equation?
Three odd - cube root - identity - standard cubic
Only one
Conditional
45 degree angle

28. What are two examples of composit functions?
F of g and g of f
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
In a quotient

29. What is the range of a square root function?
Conditional
[0 -+infinity)
X^2
(-infinity - +infinity)

30. Of the seven of algebra's common graph's how many are odd?
Conditional
X2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

31. 4(x-7)=4x+28 is what type of an equation?
Piecewise
As many as you like
Inconsitent
20+.05x=5+.10x x=minutes

32. What are the algebra of functions?
F(x)=+c and f(x)-c
Perpendicular line
The single number y=
(f+g) - (f-g) - (fg) - (f/g) all of x

33. What type of slope do you have when the line is horizontal and m=0?
45 degree angle
X = the original sale price and the formula is x - .40x =$276
Zero slope
Yes because two x's or domains can point to one y

34. In an identity function if f(10)=x than What is y?
Y=10
Y=IxI
The opposite coordinates
(-infinity - +infinity)

35. What type of line is an identity function?
Odd
45 degree angle
Math 4 x - graph
Cannot be drawn in quizlet

36. What is the formula for to calculate the difference of a quotient function?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range
Equation of a line

37. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Only one

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

39. What is the range of the cube root function?
Odd
Same
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

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41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
1 -2 -3
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

42. Of the seven of algebra's common graph's how many are even?
F(x2)-f(x1) / x2-x1
Y
Absolute Value - Constant and Standard Quadratic
As many as you like

43. What type of slope do horizontal lines have?
Y=x^2 - graph
Same
Up
Undefined slope

44. x= a real number is what type of equation?
Odd
Conditional
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x) = x
Yes - all the domains points to one range
Y=IxI
2nd catalog (zero key -) abs(x) - graph

46. Draw or discuss a constant function
Cannot be drawn in quizlet
(-infinity - +infinity)
Identity
X=a

47. What can we substitute for f(x)?
Negative inverse
Inconsistant
(-infinity - +infinity)
Y

48. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
(-infinity - +infinity)
A line passing through two distinct points

49. What is the formula for to calculate the difference of a quotient function?
0<c<1 - horizontal stretching
F(x+h)-f(x)/h h cannot equal zero
Identity
F(x)=IxI

50. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Inconsitent
(-infinity - +infinity)
Square Root