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 are the algebra of functions?
Zero slope
Undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x^1)=f(x^2)

2. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola - up one and right three

3. 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
Undefined
The secant line
Because the demintor of a quotient can never equal zero

4. Is an absolute value function even - odd or neither?
M
Even
2nd catalog (zero key -) abs(x) - graph
45 degree angle

5. What type of slope do you have when a line falls left to right and m<0?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Negative 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.

6. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

7. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X=a
Even
20+.05x=5+.10x x=minutes
The minimum or maximum points

8. What does the graph of the cube root function look like on the graph?
The opposite coordinates
Even
Approach neg toward x through zero and above positive close to x
Negative inverse

9. What can we substitute for f(x)?
Odd
Y
(-infinity - +infinity)
Inconsitent

10. y=f(cx) What does this formula represent?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
No because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching

11. 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.
Up
Y=x^2 - graph
[0 -+infinity)

12. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Only one
Line ascending to the right gradually

13. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
X math 3 graph
Inconsitent
(-infinity - +infinity)

14. What type of slope do you have when m=? and the line is vertical?
Cannot be drawn in quizlet
F(x) = x
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
Undefined slope

15. What is the range of a square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
F(x)=3 square root x
[0 -+infinity)

16. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Horizontal left
Absolute Value - Constant and Standard Quadratic
Y=b

17. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
Odd

18. A flat line underlining one vertical line is a symbol for...
Y=IxI
Perpendicular line
When does a graph not define y as a function of x?
The single number y=

19. What is the domain for the standard cubic function?
Y=b
A line passing through two distinct points
(-infinity - +infinity)
Parabola

20. What type of slope do you have when the line is horizontal and m=0?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points
Inconsitent
Zero slope

21. What are two examples of composit functions?
[0 -+infinity)
F(x^1)=f(x^2)
F of g and g of f
F(x)=3 square root x

22. What is the domain for the standard cubic function?
Down
F(x)=suare root of x
The slope of a line containing two points
(-infinity - +infinity)

23. Is a constant function even - odd or neither?
Y=x^2 - graph
Even
Equation of a line
Only one

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Neither
4 -6 -9
Up
Three odd - cube root - identity - standard cubic

25. What is the range of the cube root function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Line ascending to the right gradually
Parabola

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
Odd
2nd key - x^2 - graph
Parabola - up one and right three

27. What points do you use to plot the inverse on a graph?
Undefined
The opposite coordinates
In a quotient
F(x)=IxI

28. What direction does f(x)-c move in standard absolute value formula?
Down
Zero slope
Set the x and y to zero and get the intercepts and then plot the points
Horizontal

29. What equation does every line have? Discuss the variables.
The single number y=
Even
Even
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.

30. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
(-infinity - 0]you[0 - +infinity)
1 -2 -3

31. What is the vertex?
F(x+c) and f(x-c)
Horizontal
Parraelle line
The minimum or maximum points

32. What is the domain of a square root function?
The second set of components of an ordered pair
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
1 -2 -3

33. Is an absolute value function even - odd or neither?
Even
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
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.
Conditional

34. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Negative inverse
A V
45 degree angle

35. What is slope?
A line passing through two distinct points
Any set of ordered pairs
(-infinity - +infinity)
(-infinity - +infinity)

36. Draw or discuss a decreasing function
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
1 -2 -3
Parabola

37. What does the graph of the cube root function look like on the graph?
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line

38. standard absolute value - horizontal shift formulas for left and right
Yes because two x's or domains can point to one y
F(x+c) and f(x-c)
(-infinity - +infinity)
Even

39. What is the formula for slope?
Horizontal left
Down
Change in y / change in x = rise / run = y2-y1 / x2-x1
M

40. What is a domain?
Inconsistant
The first set of components of an ordered pair
The second set of components of an ordered pair
Undefined

41. 4x+5x=8x is what type of an equation?
When does a graph not define y as a function of x?
F(x^1)=f(x^2)
Conditional
Set the x and y to zero and get the intercepts and then plot the points

42. What is the domain of an identity function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Only one
(-infinity - +infinity)
F(x)=suare root of x

43. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=suare root of x
Negative inverse
Y=10
X = the original sale price and the formula is x - .40x =$276

44. In an identity function if f(10)=x than What is y?
Piecewise
M
Y=10
Absolute Value - Constant and Standard Quadratic

45. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
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.
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
Y=x - identity function

46. Two vertical lines side by side are a symbol for what
Inconsitent
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
Parraelle line

47. What type of line is a constant function?
C>1 - horizontal shrinking
Horizontal
Cannot be drawn in quizlet
A line passing through two distinct points

48. What are two examples of composit functions?
(-infinity - 0]you[0 - +infinity)
Neither
F of g and g of f
Horizontal right

49. Is a constant function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x2)-f(x1) / x2-x1
Because the demintor of a quotient can never equal zero
Even

50. What is an identity function?
Function notation
(-infinity - 0]you[0 - +infinity)
Same
45 degree angle