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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 line is an identity function?
45 degree angle
In a quotient
Y=10
M

2. What points do you use to plot the inverse on a graph?
Y=b
Inconsistant
Identity
The opposite coordinates

3. What are the four steps for solving a linear equation?
(-infinity - +infinity)
The secant line
Conditional
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.

4. What does the average rate of change formula solve?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points
No because you cannot have one domain pointing at two y's or ranges

5. What is the range for the standard cubic function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
X^2
The minimum or maximum points

6. What is the point slope formula and when do you use it?
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. What are the algebra of functions?
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line

8. y=f(cx) - What does this formula represent?
Horizontal
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
Cannot be drawn in quizlet

9. What type of slope do horizontal lines have?
4 -6 -9
A V
Same
(-infinity - +infinity)

10. Two vertical lines side by side are a symbol for what
Parraelle line
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=b
M

11. Why can h not equal zero in the difference of a quotient function formula?
[0 -+infinity)
Because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
The slope of a line containing two points

12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Approach neg toward x through zero and above positive close to x
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs

13. Draw or discuss a decreasing function
Line ascending to the right gradually
Cannot be drawn in quizlet
Horizontal right
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

14. What is the average rate of change formula?
Parabola
F(x2)-f(x1) / x2-x1
Odd
Neither

15. How would this formula move f(x)=(x+1)^2-3
Y= then enter the number then press graph
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
Odd
Parabola - up one and right three

16. 4(x-7)=4x+28 is what type of an equation?
Same
Even
Inconsitent
Y=10

17. What is the vertical line formula?
X^2
F(x)=+c and f(x)-c
X=a
F(x) = x

18. What is the formula for the cube root function?
F(x)=3 square root x
Horizontal left
Neither
Zero slope

19. What does the average rate of change formula solve?
F(x) = x
The slope of a line containing two points
Cannot be drawn in quizlet
Odd

20. Which direction does f(x)=+c move in standard absolute value formula?
Up
Cannot be drawn in quizlet
Horizontal right
The minimum or maximum points

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
4 -6 -9
45 degree angle
Negative inverse

22. What is the formula for an identity function?
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
F(x) = x

23. What are the steps for solving a word problem?
F(x)=+c and f(x)-c
Yes - all the domains points to one range
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
Horizontal left

24. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line

25. 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
X^2
Because the demintor of a quotient can never equal zero
45 degree angle

26. What is an identity function?
Equation of a line
Even
45 degree angle
Inconsistant

27. How many ranges can you have for each domain?
Only one
Even
Even
C>1 - horizontal shrinking

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

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29. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
Because the demintor of a quotient can never equal zero
Down
20+.05x=5+.10x x=minutes

30. Is a constant function even - odd or neither?
1 -2 -3
Undefined
Conditional
Even

31. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
2nd key - x^2 - graph
(-infinity - +infinity)
X^2

32. How do you graph Ax+By+C=0?
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
Y=10

33. y=f(cx) What does this formula represent?
A V
0<c<1 - horizontal stretching
Perpendicular line
Even

34. What is the formula for slope?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
4 -6 -9

35. 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
F(x^1)=f(x^2)
1 -2 -3
(-infinity - 0]you[0 - +infinity)

36. x= a real number is what type of equation?
Even
Conditional
Yes - all the domains points to one range
(-infinity - +infinity)

37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Identity
X^2
Only one
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. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=suare root of x
Up
45 degree angle
Odd

39. How many ranges can you have for each domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one
F(x) = x
F(x)=+c and f(x)-c

40. When is the only time (-infinity - +infinity) is not the domain?
Piecewise
A V
The opposite coordinates
In a quotient

41. What type of line is an identity function?
Negative slope
45 degree angle
Absolute Value - Constant and Standard Quadratic
F of g and g of f

42. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X^2
Y=x - identity function
Y=IxI

43. What is another way to write f(x)=x - what type of function is this?
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
Y=x - identity function
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

44. 4x+5x=8x is what type of an equation?
Y=x - identity function
Conditional
The slope of a line containing two points
F(x)=+c and f(x)-c

45. What does linear equation mean?
Y=x - identity function
As many as you like
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The minimum or maximum points
Set the x and y to zero and get the intercepts and then plot the points
X=a

47. Of the seven of algebra's common graph's how many are even?
The opposite coordinates
X = the original sale price and the formula is x - .40x =$276
Y
Absolute Value - Constant and Standard Quadratic

48. What type of slope do you have when a line falls left to right and m<0?
20+.05x=5+.10x x=minutes
Negative slope
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x

49. What does the graph of the cube root function look like on the graph?
(-infinity - 0]you[0 - +infinity)
Undefined
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x

50. f(x) = x^2+3x+5 - what type of formula is this?
Absolute Value - Constant and Standard Quadratic
4 -6 -9
Function notation
Inconsitent