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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Approach neg toward x through zero and above positive close to x
X = the original sale price and the formula is x - .40x =$276
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.
1 -2 -3

2. 4x+5x=8x is what type of an equation?
Conditional
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph
1 -2 -3

3. What is the letter used to represent slope?
2nd catalog (zero key -) abs(x) - graph
Conditional
M
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. What type of line is a constant function?
Function notation
Horizontal
The opposite coordinates
F(x)=+c and f(x)-c

5. What is the vertex?
Y
When does a graph not define y as a function of x?
The minimum or maximum points
Down

6. What is the slope intercept formula? Define all the variables.
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola - up one and right three

7. Draw or discuss a constant function
Cannot be drawn in quizlet
Even
Perpendicular line
As equations

8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The secant line
Inconsitent
F of g and g of f

9. How do you graph Ax+By+C=0?
Horizontal left
Undefined slope
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

10. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Postiive slope

11. 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?
Y
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)

12. What does the standard cubic function look like on a graph?
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
Perpendicular line
Line ascending to the right gradually

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
Identity
2nd catalog (zero key -) abs(x) - graph
Postiive slope

14. What is the domain of an identity function?
(-infinity - +infinity)
The slope of a line containing two points
F(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs

15. What are the steps for solving a word problem?
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
F(x+h)-f(x)/h h cannot equal zero
As equations
4 -6 -9

16. What is the horizontal line formula?
Horizontal left
F(x^1)=f(x^2)
Y=b
Same

17. What is the domain of an identity function?
Y=x^2 - graph
(-infinity - +infinity)
X^2
F of g and g of f

18. x=no real numbers is what type of an equation?
[0 -+infinity)
Inconsistant
Inconsitent
Perpendicular line

19. What is the domain for a standard quadratic function?
Y=10
Cannot be drawn in quizlet
(-infinity - +infinity)
Y

20. What is a relation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
Any set of ordered pairs
Zero slope

21. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three
Y=IxI

22. What is another way of writing the absolute value function?
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f
Y=IxI

23. What is the domain for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Even
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
(-infinity - +infinity)

24. What is the average rate of change formula?
No because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
Inconsistant
F(x2)-f(x1) / x2-x1

25. How many domains can you have pointing to one range?
As many as you like
Parabola
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero

26. What is the formula for the standard cubic function?
F(x)=x^3
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
Up
A V

27. What type of slope do vertical lines have?
X=a
F(x)=x^3
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.
Undefined

28. What are the calculator instructions for absolute value?
(-infinity - +infinity)
Y=IxI
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph

29. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
Y= then enter the number then press graph
45 degree angle
F(x)=+c and f(x)-c

30. x=all real numbers is what type of an equation?
C>1 - horizontal shrinking
As equations
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

31. What is the vertical line test?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=x^3
When does a graph not define y as a function of x?
Identity

32. What is an identity function?
The first set of components of an ordered pair
F(x^1)=f(x^2)
Conditional
45 degree angle

33. What is the domain for a standard quadratic function?
Piecewise
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y

34. How many ranges can you have for each domain?
The single number y=
F(x2)-f(x1) / x2-x1
Only one
[0 -+infinity)

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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.
Only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

36. What is a range?
F(x2)-f(x1) / x2-x1
No because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
(-infinity - +infinity)

37. What are the steps for solving a word problem?
Any set of ordered pairs
Math 4 x - graph
Even
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

38. What points do you use to plot the inverse on a graph?
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero
Same
X2-x1 because the demonaitor of a quotient can never equal zero

39. In an identity function if f(10)=x than What is y?
Y=10
Approach neg toward x through zero and above positive close to x
45 degree angle
Y=x - identity function

40. x= a real number is what type of equation?
Conditional
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
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

41. 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
No because you cannot have one domain pointing at two y's or ranges
Mirror image neg quadrant to that of the positive quandrant
X2-x1 because the demonaitor of a quotient can never equal zero

42. Of the seven of algebra's common graph's how many are neither?
F(x)=3 square root x
Square Root
Neither
Negative inverse

43. How would this formula move f(x)=(x+1)^2-3
Conditional
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola - up one and right three
Up

44. What is the formula for the cube root function?
Cannot be drawn in quizlet
Up
F(x)=3 square root x
The first set of components of an ordered pair

45. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI

46. What is a constant function?
(-infinity - 0]you[0 - +infinity)
Absolute Value - Constant and Standard Quadratic
F(x^1)=f(x^2)
Horizontal left

47. What is the standard quadratic function?
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph
Identity
X^2

48. How do you graph Ax+By+C=0?
X = the original sale price and the formula is x - .40x =$276
Odd
Up
Set the x and y to zero and get the intercepts and then plot the points

49. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Equation of a line
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
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

50. What is the range of the constant function?
Y=10
The single number y=
The slope of a line containing two points
Math 4 x - graph