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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?
Y=x^2 - graph
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
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

2. What is a constant function?
(-infinity - +infinity)
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
(-infinity - +infinity)

3. What is the domain of an identity function?
(-infinity - +infinity)
A V
Parraelle line
Down

4. Draw or discuss a constant function
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 minimum or maximum points
Cannot be drawn in quizlet
Parraelle line

5. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Even
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

6. $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?
Identity
Postiive slope
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
The minimum or maximum points

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range
(-infinity - +infinity)

8. What is the formula for slope?
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation
(-infinity - +infinity)

9. 4x+5x=8x is what type of an equation?
[0 -+infinity)
Any set of ordered pairs
Conditional
Y

10. What are the calculator instructions for absolute value?
Yes - all the domains points to one range
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
X = the original sale price and the formula is x - .40x =$276

11. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Parabola - up one and right three
Undefined slope
Parraelle line

12. How are functions normally written?
Math 4 x - graph
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)
As equations

13. What does the average rate of change formula solve?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points
Y= then enter the number then press graph

14. 4(x-7)=4x+28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
Parabola
Inconsitent
Yes because two x's or domains can point to one y

15. What is a relation?
Any set of ordered pairs
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Perpendicular line

16. What is a constant function?
Odd
Because the demintor of a quotient can never equal zero
The second set of components of an ordered pair
F(x^1)=f(x^2)

17. What does the graph of the cube root function look like on the graph?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
Y=10

18. Which direction does f(x-c) move
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
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal right

19. What are the calculator instructions for 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
Math 4 x - graph
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

20. What are the calculator instructions for a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges

21. How do you graph Ax+By+C=0?
(-infinity - 0]you[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line
Horizontal right

22. Which direction does f(x+c) move
X math 3 graph
Horizontal left
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

23. What type of line is a constant function?
F of g and g of f
Horizontal
Negative slope
Approach neg toward x through zero and above positive close to x

24. What points do you use to plot the inverse on a graph?
Yes - all the domains points to one range
The opposite coordinates
Identity
[0 -+infinity)

25. What is another way to write f(x)=x - what type of function is this?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Y=x - identity function
Identity

26. What is the standard quadratic function?
(-infinity - 0]you[0 - +infinity)
X^2
Conditional
(-infinity - 0]you[0 - +infinity)

27. What is the point slope formula and when do you use it?
Function notation
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Math 4 x - graph
As many as you like

28. What is the formula for the standard cubic function?
The opposite coordinates
F(x)=x^3
F of g and g of f
(-infinity - +infinity)

29. What are the steps for solving a word problem?
F(x)=x^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
When does a graph not define y as a function of x?
F(x)=suare root of x

30. 4(x-7)=4x-28 is what type of an equation?
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
Identity
Any set of ordered pairs

31. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a
Only one

32. What type of slope do you have when a line rises from left to right and m>0?
A line passing through two distinct points
Postiive slope
The slope of a line containing two points
Y= then enter the number then press graph

33. What is the standard quadratic function?
F(x) = x
No because you cannot have one domain pointing at two y's or ranges
X^2
F(x)=suare root of x

34. y=f(cx) - What does this formula represent?
F(x^1)=f(x^2)
C>1 - horizontal shrinking
F(x)=+c and f(x)-c
Math 4 x - graph

35. x=all real numbers is what type of an equation?
Identity
Same
The secant line
X = the original sale price and the formula is x - .40x =$276

36. 4(x-7)=4x-28 is what type of an equation?
Horizontal
Equation of a line
Parabola
Identity

37. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Inconsitent
Cannot be drawn in quizlet
45 degree angle

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

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

40. What equation does every line have? Discuss the variables.
Inconsitent
F(x)=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.
X=a

41. 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
Odd
4 -6 -9
Y=IxI

42. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y
Even
Down

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

44. Of the seven of algebra's common graph's how many are neither?
The single number y=
C>1 - horizontal shrinking
Math 4 x - graph
Square Root

45. What is the vertical line formula?
[0 -+infinity)
X=a
20+.05x=5+.10x x=minutes
F(x)=3 square root x

46. Is the square root function odd - even or neither?
2nd key - x^2 - graph
(-infinity - +infinity)
Neither
Conditional

47. What does the square root function look like on a graph?
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually
The first set of components of an ordered pair

48. Of the seven of algebra's common graph's how many are odd?
Zero slope
Three odd - cube root - identity - standard cubic
X^2
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

49. What is the domain and range of a constant function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola
Y=x - identity function

50. What are the calculator instructions for a standard quadratic equation?
Negative inverse
Inconsitent
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph