Test your basic knowledge |

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. Of the seven of algebra's common graph's how many are neither?
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
Square Root
Negative inverse

2. What is the formula for 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
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

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

4. What is slope?
45 degree angle
Any set of ordered pairs
Piecewise
A line passing through two distinct points

5. How many domains can you have pointing to one range?
(-infinity - +infinity)
As many as you like
Parabola - up one and right three
Odd

6. Is a constant function even - odd or neither?
Even
Math 4 x - graph
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
Piecewise

7. What is the slope of a perpendicular line?
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.
Absolute Value - Constant and Standard Quadratic
Negative inverse

8. Why can h not equal zero in the difference of a quotient function formula?
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
Because the demintor of a quotient can never equal zero

9. What type of slope do you have when a line rises from left to right and m>0?
1 -2 -3
Y
When does a graph not define y as a function of x?
Postiive slope

10. What is the formula for the square root function?
F(x)=suare root of x
As equations
Negative inverse
(-infinity - 0]you[0 - +infinity)

11. What is the formula for to calculate the difference of a quotient function?
Y=x^2 - graph
Cannot be drawn in quizlet
F(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair

12. What is a range?
Any set of ordered pairs
Even
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 second set of components of an ordered pair

13. What is another way to write f(x)=x - what type of function is this?
Horizontal right
Y=x - identity function
Math 4 x - graph
X = the original sale price and the formula is x - .40x =$276

14. Which direction does f(x+c) move
Horizontal left
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.
Odd
(-infinity - 0]you[0 - +infinity)

15. standard absolute value - vertical shift formulas for positve and negative
Y=10
F(x)=+c and f(x)-c
2nd key - x^2 - graph
The minimum or maximum points

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

17. What is the domain for a standard quadratic function?
(-infinity - +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
Odd
Same

18. How do you graph Ax+By+C=0?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points

19. What type of slope do you have when a line rises from left to right and m>0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Postiive slope
(-infinity - +infinity)
(-infinity - +infinity)

20. How many domains can you have pointing to one range?
0<c<1 - horizontal stretching
As many as you like
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

21. What type of line is a constant function?
F(x+c) and f(x-c)
Parabola
Horizontal
Cannot be drawn in quizlet

22. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Math 4 x - graph
Identity
1 -2 -3

23. What is the domain of an identity function?
(-infinity - +infinity)
Y
X^2
2nd key - x^2 - graph

24. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X2-x1 because the demonaitor of a quotient can never equal zero
Math 4 x - graph
Only one
X = the original sale price and the formula is x - .40x =$276

25. What is the domain of the cube root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
(-infinity - +infinity)
Y=b

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
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
No because you cannot have one domain pointing at two y's or ranges

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
The second set of components of an ordered pair
(-infinity - +infinity)
4 -6 -9

28. What is the domain of an identity function?
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
Identity
(-infinity - +infinity)

29. What is the slope intercept formula? Define all the variables.
F(x)=+c and f(x)-c
Horizontal
X math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. What does the graph of the cube root function look like on the graph?
Parabola
As many as you like
Approach neg toward x through zero and above positive close to x
Negative inverse

31. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Horizontal
Perpendicular line
Same

32. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
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
[0 -+infinity)
(-infinity - +infinity)

33. What is the slope intercept formula? Define all the variables.
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
The second set of components of an ordered pair
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

34. What is an identity function?
[0 -+infinity)
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
45 degree angle
Yes because two x's or domains can point to one y

35. What are two examples of composit functions?
Perpendicular line
F of g and g of f
Y
The slope of a line containing two points

36. What type of slope do you have when the line is horizontal and m=0?
Any set of ordered pairs
Zero slope
(-infinity - 0]you[0 - +infinity)
Only one

37. What does the average rate of change formula solve?
[0 -+infinity)
F(x^1)=f(x^2)
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x

38. What are the steps for solving a word problem?
F(x)=suare root of x
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
The single number y=
Neither

39. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
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.
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

40. What type of function would you use to calculate the most advantageous cell phone plan?
Horizontal
Piecewise
Postiive slope
The minimum or maximum points

41. What type of line is an identity function?
(-infinity - +infinity)
In a quotient
45 degree angle
20+.05x=5+.10x x=minutes

42. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M

43. What is the domain of a square root function?
[0 -+infinity)
Parabola
Odd
X math 3 graph

44. What is the average rate of change formula?
Y=IxI
Cannot be drawn in quizlet
M
F(x2)-f(x1) / x2-x1

45. What is the formula for the cube root function?
The single number y=
20+.05x=5+.10x x=minutes
X math 3 graph
F(x)=3 square root x

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

47. What is the range of the cube root function?
Only one
The single number y=
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

48. What is a domain?
Odd
The first set of components of an ordered pair
The opposite coordinates
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Negative inverse
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

50. Draw or discuss a constant function
Cannot be drawn in quizlet
X=a
Y=10
F(x^1)=f(x^2)