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 slope do horizontal lines have?
Same
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

2. 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
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.
4 -6 -9
As equations

3. What are the four steps for solving a linear equation?
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
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
Even
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.

4. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
In a quotient
Undefined
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

5. What does the average rate of change formula solve?
F(x+c) and f(x-c)
The slope of a line containing two points
Y=IxI
X2-x1 because the demonaitor of a quotient can never equal zero

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
2nd key - x^2 - 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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

7. 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
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?

8. What type of slope do you have when the line is horizontal and m=0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal right
Zero slope
Odd

9. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.

10. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Function notation
Mirror image neg quadrant to that of the positive quandrant
X math 3 graph
X = the original sale price and the formula is x - .40x =$276

11. What is the formula for the standard cubic function?
As many as you like
Yes because two x's or domains can point to one y
F(x)=x^3
The secant line

12. What type of slope do horizontal lines have?
Equation of a line
Same
Even
Y=b

13. What does the square root function look like on a graph?
[0 -+infinity)
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair

14. What type of line is a constant function?
The minimum or maximum points
F(x)=3 square root x
Horizontal
Negative inverse

15. What shape is the standard quadratic function?
Horizontal right
[0 -+infinity)
Parabola
X^2

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Down
The secant line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)

17. Of the seven of algebra's common graph's how many are neither?
Odd
X=a
Square Root
2nd catalog (zero key -) abs(x) - graph

18. What is the standard quadratic function?
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph
X^2

19. What is the standard quadratic function?
X^2
C>1 - horizontal shrinking
4 -6 -9
F(x^1)=f(x^2)

20. What type of slope do vertical lines have?
F(x^1)=f(x^2)
Identity
Undefined
Up

21. What is the domain for a standard quadratic function?
[0 -+infinity)
Conditional
(-infinity - +infinity)
Y=10

22. What is an identity function?
Cannot be drawn in quizlet
45 degree angle
Horizontal
Zero slope

23. What type of line is a constant function?
Inconsitent
Horizontal
Y=IxI
The secant line

24. Of the seven of algebra's common graph's how many are neither?
Square Root
F(x) = x
[0 -+infinity)
F(x) = x

25. What is the range for the standard cubic function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal
C>1 - horizontal shrinking

26. 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
(-infinity - +infinity)
Inconsistant
45 degree angle

27. What is the vertex?
Odd
The minimum or maximum points
Same
(-infinity - +infinity)

28. What is a relation?
(-infinity - +infinity)
Negative inverse
Neither
Any set of ordered pairs

29. Draw or discuss a decreasing function
Horizontal right
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.
Cannot be drawn in quizlet
F of g and g of f

30. What direction does f(x)-c move in standard absolute value formula?
Identity
No because you cannot have one domain pointing at two y's or ranges
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Down

31. How are functions normally written?
The slope of a line containing two points
X2-x1 because the demonaitor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
As equations

32. What is the point slope formula and when do you use it?
M
The first set of components of an ordered pair
Postiive slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

33. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
[0 -+infinity)
[0 -+infinity)

34. What is the range of a square root function?
2nd catalog (zero key -) abs(x) - graph
Parabola
Approach neg toward x through zero and above positive close to x
[0 -+infinity)

35. What are the calculator instructions for the cube root function?
0<c<1 - horizontal stretching
Y
Math 4 x - graph
The second set of components of an ordered pair

36. What is the domain of an identity function?
Conditional
Mirror image neg quadrant to that of the positive quandrant
Y=b
(-infinity - +infinity)

37. 4(x-7)=4x+28 is what type of an equation?
Odd
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
Inconsitent
Cannot be drawn in quizlet

38. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

39. 4x+5x=8x is what type of an equation?
4 -6 -9
Even
The slope of a line containing two points
Conditional

40. What is the vertical line formula?
When does a graph not define y as a function of x?
X=a
The opposite coordinates
Cannot be drawn in quizlet

41. x=no real numbers is what type of an equation?
The slope of a line containing two points
Down
Inconsistant
Parabola - up one and right three

42. What does the standard cubic function look like on a graph?
Negative inverse
X math 3 graph
Negative slope
Mirror image neg quadrant to that of the positive quandrant

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
M
Yes - all the domains points to one range
2nd key - x^2 - graph
Identity

44. What type of function would you use to calculate the most advantageous cell phone plan?
Inconsitent
Piecewise
4 -6 -9
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

45. How many domains can you have pointing to one range?
Parabola - up one and right three
X math 3 graph
45 degree angle
As many as you like

46. What is the domain and range of a constant function?
Because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

47. What is the range of a square root function?
X = the original sale price and the formula is x - .40x =$276
Undefined slope
[0 -+infinity)
X=a

48. What is slope?
A line passing through two distinct points
The single number y=
(-infinity - 0]you[0 - +infinity)
Horizontal

49. What is the formula for slope?
Math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal
(-infinity - +infinity)

50. What are the calculator instructions for the cube root function?
Math 4 x - graph
The slope of a line containing two points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X^2