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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. Draw or discuss a decreasing function
2nd key - x^2 - graph
Horizontal left
Up
Cannot be drawn in quizlet
2. Is a standard quadratic function even - odd or neither?
Even
F(x)=+c and f(x)-c
As equations
X^2
3. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
Identity
Horizontal left
Inconsistant
4. 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.
Inconsitent
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parraelle line
5. A flat line underlining one vertical line is a symbol for...
Horizontal
(-infinity - +infinity)
Odd
Perpendicular line
6. What is the standard quadratic function?
X^2
M
C>1 - horizontal shrinking
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
7. How do you calculate a constant function in your calculator?
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
Down
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
8. 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?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
9. f(x) = x^2+3x+5 - what type of formula is this?
Because the demintor of a quotient can never equal zero
X math 3 graph
(-infinity - +infinity)
Function notation
10. $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?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
Absolute Value - Constant and Standard Quadratic
Y= then enter the number then press graph
11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - 0]you[0 - +infinity)
The secant line
Function notation
X^2
12. What is the formula for the standard cubic function?
45 degree angle
F(x)=x^3
Zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
13. When is the only time (-infinity - +infinity) is not the domain?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal
In a quotient
Math 4 x - graph
14. What are the calculator instructions for the cube root function?
Perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Math 4 x - graph
15. Is a constant function even - odd or neither?
Horizontal
In a quotient
Even
Piecewise
16. Is the standard cubic function odd - even or neither?
Y
Odd
[0 -+infinity)
Square Root
17. x=no real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes
Zero slope
Inconsistant
18. What does linear equation mean?
[0 -+infinity)
Equation of a line
F(x^1)=f(x^2)
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. What is the range of a square root function?
Negative slope
[0 -+infinity)
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
20. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function
21. What is the vertex?
The minimum or maximum points
Parraelle line
As equations
Set the x and y to zero and get the intercepts and then plot the points
22. What is the range of the constant function?
The single number y=
Cannot be drawn in quizlet
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
23. In an identity function if f(10)=x than What is y?
45 degree angle
Y=10
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
24. What is the domain and range of a constant function?
1 -2 -3
F(x^1)=f(x^2)
(-infinity - +infinity)
45 degree angle
25. What is another way to write f(x)=x - what type of function is this?
Odd
Y=x - identity function
Inconsitent
Inconsitent
26. Which direction does f(x)=+c move in standard absolute value formula?
Odd
Up
When does a graph not define y as a function of x?
Only one
27. 4(x-7)=4x-28 is what type of an equation?
X^2
(-infinity - 0]you[0 - +infinity)
Identity
F of g and g of f
28. What is the range for an absolute value function?
Y
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
29. What is an identity function?
Yes because two x's or domains can point to one y
Negative inverse
45 degree angle
2nd key - x^2 - graph
30. Two vertical lines side by side are a symbol for what
Odd
Horizontal
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
31. What are the algebra of functions?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Same
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
32. What is the range for a standard quadratic function?
X = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to x
33. What is a function?
Y=x - identity function
Y=10
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
34. What type of slope do vertical lines have?
F(x)=IxI
X=a
Undefined
X=a
35. What type of line is an identity function?
Odd
No because you cannot have one domain pointing at two y's or ranges
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
36. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Yes - all the domains points to one range
F(x)=3 square root x
37. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
M
(-infinity - +infinity)
Cannot be drawn in quizlet
38. What is a domain?
Y= then enter the number then press graph
F(x)=x^3
The first set of components of an ordered pair
Math 4 x - graph
39. f(x) = x^2+3x+5 - what type of formula is this?
[0 -+infinity)
Function notation
Y=b
Y=x - identity function
40. What is the formula for to calculate the difference of a quotient function?
F(x)=+c and f(x)-c
[0 -+infinity)
F(x+h)-f(x)/h h cannot equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
41. What type of slope do vertical lines have?
Undefined
Parraelle line
2nd key - x^2 - graph
(-infinity - +infinity)
42. What type of line is an identity function?
The first set of components of an ordered pair
45 degree angle
(-infinity - 0]you[0 - +infinity)
Postiive slope
43. What is a range?
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair
45 degree angle
44. What is the formula for the standard cubic function?
Because the demintor of a quotient can never equal zero
X math 3 graph
F(x)=x^3
As equations
45. What is the slope of a perpendicular line?
(-infinity - +infinity)
Horizontal right
Negative inverse
When does a graph not define y as a function of x?
46. What is a range?
The second set of components of an ordered pair
As equations
Parabola
45 degree angle
47. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Horizontal
When does a graph not define y as a function of x?
Horizontal
48. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(-infinity - +infinity)
(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.
49. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
X=a
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
50. What is the formula for an identity function?
F(x) = x
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X = the original sale price and the formula is x - .40x =$276