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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 is the domain and range of a constant function?
(-infinity - +infinity)
45 degree angle
2nd catalog (zero key -) abs(x) - graph
Same

2. What is slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
No because you cannot have one domain pointing at two y's or ranges
A line passing through two distinct points
The second set of components of an ordered pair

3. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Horizontal
F(x^1)=f(x^2)
Negative inverse

4. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
(-infinity - +infinity)
Postiive slope

5. $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?
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
Cannot be drawn in quizlet
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)

6. What is a relation?
20+.05x=5+.10x x=minutes
Any set of ordered pairs
Same
Odd

7. What shape is the standard quadratic function?
45 degree angle
Parabola
Neither
Identity

8. What type of slope do vertical lines have?
Neither
Undefined
(-infinity - +infinity)
Math 4 x - graph

9. What type of slope do you have when a line rises from left to right and m>0?
Function notation
Postiive slope
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

10. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
F(x)=suare root of x
4 -6 -9
Up

11. Is an identity function even - odd or neither?
[0 -+infinity)
Odd
Parabola
[0 -+infinity)

12. What is the formula in both horizontal stretching and horizontal shrinking?
X2-x1 because the demonaitor of a quotient can never equal zero
Line ascending to the right gradually
Change in y / change in x = rise / run = y2-y1 / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. What does linear equation mean?
Equation of a line
Conditional
F(x)=+c and f(x)-c
Math 4 x - graph

14. 4x+5x=8x is what type of an equation?
Down
(-infinity - +infinity)
Identity
Conditional

15. What type of line is a constant function?
Zero slope
Horizontal
X is the hours to repair the boat. $1603-532=anwser/63 = x
Only one

16. Is a standard quadratic function even - odd or neither?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
The secant line
Even

17. What is the vertical line formula?
Horizontal right
X=a
(-infinity - 0]you[0 - +infinity)
Undefined slope

18. What is the letter used to represent slope?
Even
4 -6 -9
M
Three odd - cube root - identity - standard cubic

19. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes because two x's or domains can point to one y

20. Is an absolute value function even - odd or neither?
Even
(-infinity - +infinity)
Y= then enter the number then press graph
Y= then enter the number then press graph

21. What are the calculator instructions for the cube root function?
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.
Math 4 x - graph
F(x+h)-f(x)/h h cannot equal zero
Inconsistant

22. Draw or discuss a decreasing function
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

23. Is an identity function even - odd or neither?
Odd
F(x)=+c and f(x)-c
[0 -+infinity)
Y= then enter the number then press graph

24. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Negative slope
Zero slope
Conditional

25. What is the domain of a square root function?
[0 -+infinity)
F(x) = x
0<c<1 - horizontal stretching
F(x)=x^3

26. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Same
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd

27. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Math 4 x - graph
The second set of components of an ordered pair
Horizontal left

28. What is the domain of the cube root function?
(-infinity - +infinity)
Line ascending to the right gradually
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. What does linear equation mean?
Equation of a line
(-infinity - 0]you[0 - +infinity)
4 -6 -9
Identity

30. What does the absolute value function look like?
Y=x^2 - graph
The second set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges
A V

31. What is another way of writing the absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
F(x)=suare root of x
Y=IxI

32. What is the point slope formula and when do you use it?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+h)-f(x)/h h cannot equal zero

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Odd
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The secant line

34. What does the average rate of change formula solve?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Conditional
The slope of a line containing two points

35. Of the seven of algebra's common graph's how many are neither?
Square Root
45 degree angle
X = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair

36. Why can h not equal zero in the difference of a quotient function formula?
A line passing through two distinct points
Same
Because the demintor of a quotient can never equal zero
F(x)=suare root of x

37. Draw or discuss an increasing function
Inconsistant
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X2-x1 because the demonaitor of a quotient can never equal zero

38. What type of line is an identity function?
45 degree angle
(-infinity - 0]you[0 - +infinity)
Square Root
Approach neg toward x through zero and above positive close to x

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Square Root
45 degree angle
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. What is the vertex?
Conditional
Neither
The minimum or maximum points
Y=b

41. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Y= then enter the number then press graph
X math 3 graph
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.

42. What is the formula for an absolute value function?
Only one
F(x)=IxI
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

43. 4(x-7)=4x-28 is what type of an equation?
Identity
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x)=+c and f(x)-c

44. What is an identity function?
20+.05x=5+.10x x=minutes
45 degree angle
(-infinity - +infinity)
A V

45. What can we substitute for f(x)?
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
Negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

46. What are the calculator instructions for absolute value?
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.
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

47. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
X math 3 graph
Y

48. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
X math 3 graph
Because the demintor of a quotient can never equal zero
Any set of ordered pairs

49. f(x) = x^2+3x+5 - what type of formula is this?
Math 4 x - graph
Function notation
(-infinity - +infinity)
Equation of a line

50. 4(x-7)=4x+28 is what type of an equation?
Negative slope
(-infinity - +infinity)
Inconsitent
Horizontal right