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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 slope of a perpendicular line?
Any set of ordered pairs
X2-x1 because the demonaitor of a quotient can never equal zero
Negative inverse
F(x)=3 square root x

2. 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.
Math 4 x - graph
Identity
Cannot be drawn in quizlet

3. What does the standard cubic function look like on a graph?
(-infinity - 0]you[0 - +infinity)
Undefined
Inconsistant
Mirror image neg quadrant to that of the positive quandrant

4. What are the calculator instructions for a square root function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=suare root of x
2nd key - x^2 - graph
Math 4 x - graph

5. How do you graph Ax+By+C=0?
F(x^1)=f(x^2)
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points

6. Is the square root function odd - even or neither?
As many as you like
Parabola - up one and right three
Y= then enter the number then press graph
Neither

7. What is the range of the constant function?
(-infinity - +infinity)
As many as you like
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

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

9. What is the range for an absolute value function?
Yes - all the domains points to one range
Horizontal left
A V
(-infinity - 0]you[0 - +infinity)

10. x=all real numbers is what type of an equation?
Identity
Even
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

11. Is an identity function even - odd or neither?
2nd key - x^2 - graph
Undefined
Odd
The minimum or maximum points

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Square Root
Even
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
Yes - all the domains points to one range

13. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. Of the seven of algebra's common graph's how many are neither?
Horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
Square Root
Identity

15. What is the domain for an absolute value function?
As equations
(-infinity - +infinity)
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges

16. f(x) = x^2+3x+5 - what type of formula is this?
Same
Perpendicular line
Function notation
[0 -+infinity)

17. What is a range?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair
Y=x^2 - graph

18. What type of line is an identity function?
The minimum or maximum points
Conditional
Undefined slope
45 degree angle

19. 4(x-7)=4x+28 is what type of an equation?
Y=10
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent

20. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Even
F(x^1)=f(x^2)
F(x)=3 square root x
X = the original sale price and the formula is x - .40x =$276

21. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic
F(x^1)=f(x^2)
4 -6 -9

22. What is a domain?
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
The first set of components of an ordered pair
(-infinity - +infinity)

23. What does the absolute value function look like?
X math 3 graph
A V
Piecewise
20+.05x=5+.10x x=minutes

24. What is the range for an absolute value function?
Negative slope
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)

25. What is the standard quadratic function?
F(x) = x
The second set of components of an ordered pair
X^2
Negative inverse

26. Is the standard cubic function odd - even or neither?
Odd
Postiive slope
(-infinity - +infinity)
Horizontal

27. What is the letter used to represent slope?
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges
M
A V

28. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero

29. What does the graph of the cube root function look like on the graph?
Postiive slope
X^2
Approach neg toward x through zero and above positive close to x
Inconsistant

30. What is the horizontal line formula?
Odd
F of g and g of f
The minimum or maximum points
Y=b

31. x= a real number is what type of equation?
Identity
A line passing through two distinct points
20+.05x=5+.10x x=minutes
Conditional

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

33. standard absolute value - vertical shift formulas for positve and negative
Y
A V
45 degree angle
F(x)=+c and f(x)-c

34. What is the formula for to calculate the difference of a quotient function?
Same
(-infinity - +infinity)
X=a
F(x+h)-f(x)/h h cannot equal zero

35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse

36. When is the only time (-infinity - +infinity) is not the domain?
Even
In a quotient
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points

37. Is the square root function odd - even or neither?
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
Neither

38. What shape is the standard quadratic function?
Negative slope
Parabola
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative inverse
(-infinity - +infinity)

40. What can we substitute for f(x)?
F(x+c) and f(x-c)
Y
Absolute Value - Constant and Standard Quadratic
Parabola

41. What are two examples of composit functions?
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
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
F of g and g of f

42. What is the point slope formula and when do you use it?
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Only one

43. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant
Because the demintor of a quotient can never equal zero
X=a

44. What is the domain of a square root function?
Y=x^2 - graph
Only one
[0 -+infinity)
Approach neg toward x through zero and above positive close to x

45. x=no real numbers is what type of an equation?
Only one
Inconsistant
The opposite coordinates
In a quotient

46. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
The second set of components of an ordered pair
Piecewise
M

47. What shape is the standard quadratic function?
Horizontal
As many as you like
Same
Parabola

48. What are the four steps for solving a linear equation?
The secant line
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
X = the original sale price and the formula is x - .40x =$276

49. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
The second set of components of an ordered pair
Parabola
X math 3 graph

50. Draw or discuss a decreasing function
Zero slope
F(x) = x
F of g and g of f
Cannot be drawn in quizlet