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Test your basic knowledge |
College Algebra Test
Start Test
Study First
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. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
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
F(x)=+c and f(x)-c
Horizontal
F(x) = x
2. What is another way of writing the absolute value function?
Piecewise
Inconsitent
Y=IxI
X=a
3. Which direction does f(x+c) move
Piecewise
Cannot be drawn in quizlet
Horizontal left
20+.05x=5+.10x x=minutes
4. What is the horizontal line formula?
Parraelle line
Y=b
(-infinity - +infinity)
Even
5. How would this formula move f(x)=(x+1)^2-3
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.
Parabola - up one and right three
F(x)=+c and f(x)-c
2nd catalog (zero key -) abs(x) - graph
6. What is the range of the cube root function?
(-infinity - +infinity)
45 degree angle
Y
Negative inverse
7. Is an identity function even - odd or neither?
45 degree angle
Odd
X math 3 graph
In a quotient
8. How many ranges can you have for each domain?
(-infinity - +infinity)
Zero slope
Only one
Perpendicular line
9. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
Y=x^2 - graph
Conditional
10. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
Function notation
Only one
Even
11. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
Because the demintor of a quotient can never equal zero
X math 3 graph
12. What can never equal zero in the slope formula and why?
Line ascending to the right gradually
X^2
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
13. What does the absolute value function look like?
Horizontal right
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
14. What are the algebra of functions?
The single number y=
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
Down
15. How would this formula move f(x)=(x+1)^2-3
Line ascending to the right gradually
Parabola - up one and right three
Undefined slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
16. What can we substitute for f(x)?
Identity
Y
F(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking
17. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope
Even
18. What is the slope of a perpendicular line?
No because you cannot have one domain pointing at two y's or ranges
Negative inverse
Horizontal
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
19. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal
Square Root
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20. What is another way to write f(x)=x - what type of function is this?
Perpendicular line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like
Y=x - identity function
21. Is the standard cubic function odd - even or neither?
Odd
Y=10
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
22. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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.
Inconsistant
Because the demintor of a quotient can never equal zero
23. What is the domain of the cube root function?
Math 4 x - graph
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.
Even
(-infinity - +infinity)
24. Draw or discuss a constant function
F of g and g of f
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)
25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
X=a
Cannot be drawn in quizlet
The opposite coordinates
26. What is the range for the standard cubic function?
1 -2 -3
Undefined slope
Odd
(-infinity - +infinity)
27. What can we substitute for f(x)?
Y
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
28. Is a standard quadratic function even - odd or neither?
Y=x - identity function
Even
F of g and g of f
Negative slope
29. What is an identity function?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
Negative slope
30. Draw or discuss a constant function
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.
The first set of components of an ordered pair
Even
Cannot be drawn in quizlet
31. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Conditional
Absolute Value - Constant and Standard Quadratic
X^2
32. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Cannot be drawn in quizlet
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
33. Of the seven of algebra's common graph's how many are neither?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Square Root
F(x)=suare root of x
34. What type of line is a constant function?
Horizontal
Y=b
Even
Cannot be drawn in quizlet
35. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Piecewise
36. A flat line underlining one vertical line is a symbol for...
Perpendicular line
A line passing through two distinct points
A V
Yes because two x's or domains can point to one y
37. What is the average rate of change formula?
F(x+c) and f(x-c)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1
Y=b
38. What are the four steps for solving a linear equation?
Y
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.
X=a
X2-x1 because the demonaitor of a quotient can never equal zero
39. What type of line is an identity function?
Piecewise
45 degree angle
[0 -+infinity)
F(x^1)=f(x^2)
40. 4(x-7)=4x+28 is what type of an equation?
F(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
41. What is the formula for the cube root function?
Parabola
[0 -+infinity)
F(x)=3 square root x
Y=IxI
42. What type of line is a constant function?
Only one
Horizontal
Y=x - identity function
The single number y=
43. y^2+x=4 is this a function? Why?
44. Of the seven of algebra's common graph's how many are neither?
F(x)=+c and f(x)-c
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
(-infinity - +infinity)
Square Root
45. 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
(-infinity - +infinity)
45 degree angle
Even
46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Horizontal
4 -6 -9
When does a graph not define y as a function of x?
F(x)=3 square root x
47. What type of slope do horizontal lines have?
Odd
Conditional
Same
Postiive slope
48. What is the formula for slope?
No because you cannot have one domain pointing at two y's or ranges
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
49. Is a constant function even - odd or neither?
Conditional
X = the original sale price and the formula is x - .40x =$276
Even
X^2
50. What does linear equation mean?
Yes - all the domains points to one range
(-infinity - +infinity)
Even
Equation of a line