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. What type of line is an identity function?
The minimum or maximum points
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
45 degree angle

2. What are the four steps for solving a linear equation?
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.
Y=x^2 - graph
Y=x - identity function
Undefined slope

3. What is a relation?
The slope of a line containing two points
Any set of ordered pairs
F(x)=+c and f(x)-c
A V

4. What are two examples of composit functions?
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph
Equation of a line
F of g and g of f

5. Draw or discuss an increasing function
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching
1 -2 -3

6. How many ranges can you have for each domain?
Up
Parraelle line
Even
Only one

7. How many domains can you have pointing to one range?
[0 -+infinity)
As many as you like
Horizontal
A V

8. What direction does f(x)-c move in standard absolute value formula?
Down
The opposite coordinates
The second set of components of an ordered pair
Perpendicular line

9. Which direction does f(x)=+c move in standard absolute value formula?
X=a
Up
Identity
Odd

10. What is the formula in both horizontal stretching and horizontal shrinking?
A V
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
(-infinity - +infinity)

11. Is the square root function odd - even or neither?
Neither
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
Down

12. How would this formula move f(x)=(x+1)^2-3
Piecewise
Piecewise
The secant line
Parabola - up one and right three

13. What are the four steps for solving a linear equation?
Mirror image neg quadrant to that of the positive quandrant
Y
F(x+c) and f(x-c)
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.

14. What is the domain of the cube root function?
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^1)=f(x^2)
The single number y=
(-infinity - +infinity)

15. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Any set of ordered pairs
Even

16. What type of line is a constant function?
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - graph

17. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
Yes because two x's or domains can point to one y
2nd key - x^2 - graph

18. x= a real number is what type of equation?
As many as you like
Conditional
Identity
20+.05x=5+.10x x=minutes

19. What is the vertex?
The slope of a line containing two points
The minimum or maximum points
Negative slope
F(x)=x^3

20. x=no real numbers is what type of an equation?
Inconsistant
Cannot be drawn in quizlet
1 -2 -3
Undefined slope

21. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Undefined slope
Parabola - up one and right three
1 -2 -3
F(x)=+c and f(x)-c

22. What is another way of writing the absolute value function?
In a quotient
X = the original sale price and the formula is x - .40x =$276
Y=IxI
Y

23. Is an absolute value function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)
Even
X^2

24. 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
Any set of ordered pairs
Y
F(x+c) and f(x-c)

25. What is slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+c) and f(x-c)
Parabola
A line passing through two distinct points

26. 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?
Set the x and y to zero and get the intercepts and then plot the points
Negative slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=x^3

27. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Odd
The opposite coordinates
The minimum or maximum points

28. What type of slope do horizontal lines have?
Same
F(x^1)=f(x^2)
Odd
(-infinity - 0]you[0 - +infinity)

29. What are the calculator instructions for a square root function?
Down
Odd
F(x)=3 square root x
2nd key - x^2 - graph

30. What type of line is a constant function?
Horizontal
Absolute Value - Constant and Standard Quadratic
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero

31. standard absolute value - vertical shift formulas for positve and negative
Function notation
Parabola
Math 4 x - graph
F(x)=+c and f(x)-c

32. Of the seven of algebra's common graph's how many are odd?
Conditional
Three odd - cube root - identity - standard cubic
F(x)=x^3
Absolute Value - Constant and Standard Quadratic

33. What type of slope do you have when a line rises from left to right and m>0?
Y=x - identity function
Approach neg toward x through zero and above positive close to x
Postiive slope
As equations

34. Draw or discuss a constant function
A line passing through two distinct points
X2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph
Cannot be drawn in quizlet

35. A flat line underlining one vertical line is a symbol for...
F(x+h)-f(x)/h h cannot equal zero
Same
Zero slope
Perpendicular line

36. y=f(cx) - What does this formula represent?
Horizontal right
Y=10
C>1 - horizontal shrinking
In a quotient

37. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Perpendicular line
The minimum or maximum points
No because you cannot have one domain pointing at two y's or ranges

38. What is the range for the standard cubic function?
1 -2 -3
(-infinity - +infinity)
When does a graph not define y as a function of x?
Parabola

39. What is a function?
F(x+h)-f(x)/h h cannot equal zero
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. What is the range of a square root function?
F(x)=3 square root x
Math 4 x - graph
[0 -+infinity)
Line ascending to the right gradually

41. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Line ascending to the right gradually
X = the original sale price and the formula is x - .40x =$276
Y=b

42. What are the calculator instructions for a standard quadratic equation?
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
Up
Parabola

43. What are the four steps for finding the inverse of a function?
2nd key - x^2 - graph
F(x) = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle

44. What type of line is a constant function?
M
Horizontal
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=

45. What is an identity 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
Horizontal
45 degree angle

46. What are the calculator instructions for the cube root function?
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph
A line passing through two distinct points

47. What can we substitute for f(x)?
M
Y
Yes - all the domains points to one range
45 degree angle

48. What is the point slope formula and when do you use it?
F(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
The secant line

49. Which direction does f(x+c) move
Parraelle line
Horizontal left
Line ascending to the right gradually
Y= then enter the number then press graph

50. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
The single number y=
(-infinity - +infinity)