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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. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
F(x)=suare root of x
Postiive slope
Down

2. Of the seven of algebra's common graph's how many are neither?
Zero slope
Set the x and y to zero and get the intercepts and then plot the points
Square Root
(-infinity - +infinity)

3. What is another way of writing the absolute value function?
Same
Y=IxI
As equations
F(x+h)-f(x)/h h cannot equal zero

4. Draw or discuss a decreasing function
Down
Only one
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet

5. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
In a quotient

6. standard absolute value - vertical shift formulas for positve and negative
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c
X math 3 graph
Down

7. What are the four steps for solving a linear equation?
A line passing through two distinct points
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.
(-infinity - +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

8. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
(-infinity - +infinity)
Even
Identity

9. A flat line underlining one vertical line is a symbol for...
Only one
Perpendicular line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

10. What is the domain of the cube root function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
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
Even

11. Which direction does f(x)=+c move in standard absolute value formula?
F of g and g of f
X = the original sale price and the formula is x - .40x =$276
Up
X2-x1 because the demonaitor of a quotient can never equal zero

12. What is the range for a standard quadratic function?
Only one
(-infinity - 0]you[0 - +infinity)
Odd
0<c<1 - horizontal stretching

13. How many ranges can you have for each domain?
45 degree angle
In a quotient
X^2
Only one

14. What is the vertical line test?
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching
The minimum or maximum points
A line passing through two distinct points

15. What does the standard cubic function look like on a graph?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant

16. What is the range of the cube root function?
Mirror image neg quadrant to that of the positive quandrant
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
When does a graph not define y as a function of x?
(-infinity - +infinity)

17. What direction does f(x)-c move in standard absolute value formula?
Down
Equation of a line
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

18. How are functions normally written?
Cannot be drawn in quizlet
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
As equations
X math 3 graph

19. What is a range?
Y=b
F(x)=+c and f(x)-c
The second set of components of an ordered pair
(-infinity - +infinity)

20. What is an identity function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
Inconsistant
Identity

21. What is a function?
Down
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
Parraelle line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

22. What is the formula for an identity function?
F(x) = x
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI

23. What is the standard quadratic function?
F of g and g of f
X^2
2nd catalog (zero key -) abs(x) - graph
F(x+h)-f(x)/h h cannot equal zero

24. Draw or discuss a decreasing function
Math 4 x - graph
(-infinity - +infinity)
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

25. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Odd
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.
Cannot be drawn in quizlet

26. How are functions normally written?
Conditional
As equations
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)

27. What is the vertical line test?
Horizontal left
Even
Y= then enter the number then press graph
When does a graph not define y as a function of x?

28. What is the domain for the standard cubic function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

29. What is the range of the constant function?
The single number y=
(-infinity - 0]you[0 - +infinity)
Neither
(-infinity - +infinity)

30. Of the seven of algebra's common graph's how many are odd?
Y=10
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

31. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
Y=b

32. What are the calculator instructions for a standard quadratic equation?
Down
Y=x^2 - graph
X=a
Yes - all the domains points to one range

33. What is the formula for the cube root function?
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
Cannot be drawn in quizlet
F(x)=3 square root x

34. What are the calculator instructions for the standard cubic function?
Conditional
X math 3 graph
The slope of a line containing two points
X=a

35. How do you graph Ax+By+C=0?
F(x) = x
Y=IxI
Negative slope
Set the x and y to zero and get the intercepts and then plot the points

36. 4x+5x=8x is what type of an equation?
2nd key - x^2 - graph
Conditional
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. Of the seven of algebra's common graph's how many are neither?
Conditional
Square Root
No because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x

38. What is the range of a square root function?
Inconsistant
The slope of a line containing two points
[0 -+infinity)
F(x)=IxI

39. What can we substitute for f(x)?
Conditional
In a quotient
Identity
Y

40. What is the domain and range of a constant function?
Cannot be drawn in quizlet
C>1 - horizontal shrinking
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

41. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Cannot be drawn in quizlet
Parraelle line
The secant line
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

42. Is an identity function even - odd or neither?
Postiive slope
Perpendicular line
Absolute Value - Constant and Standard Quadratic
Odd

43. What is slope?
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct 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

44. What are the calculator instructions for a standard quadratic equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even

45. What is the average rate of change formula?
Down
F(x2)-f(x1) / x2-x1
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. What does the average rate of change formula solve?
Even
The slope of a line containing two points
F(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

47. 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?
The first set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
X^2
As many as you like

48. What is the range of an identity function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Parabola
2nd key - x^2 - graph

49. Why can h not equal zero in the difference of a quotient function formula?
Postiive slope
Because the demintor of a quotient can never equal zero
Horizontal left
Even

50. What is the formula for an identity function?
Even
F(x) = x
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph