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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. How do you graph Ax+By+C=0?
F of g and g of f
Identity
F(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points
2. y^2+x=4 is this a function? Why?
3. Two vertical lines side by side are a symbol for what
Parraelle line
45 degree angle
0<c<1 - horizontal stretching
A line passing through two distinct points
4. What is the formula for an identity function?
Absolute Value - Constant and Standard Quadratic
F(x) = x
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
5. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]you[0 - +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
Inconsistant
The secant line
6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parabola - up one and right three
20+.05x=5+.10x x=minutes
Undefined
Inconsitent
7. How would this formula move f(x)=(x+1)^2-3
Horizontal
Parabola - up one and right three
45 degree angle
Approach neg toward x through zero and above positive close to x
8. $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?
Conditional
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
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^1)=f(x^2)
9. What is the domain of the cube root function?
Negative slope
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
A V
10. What are the calculator instructions for absolute value?
Even
In a quotient
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph
11. How are functions normally written?
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
As equations
12. What is the formula for the cube root function?
[0 -+infinity)
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
Conditional
13. Is the square root function odd - even or neither?
Neither
Even
[0 -+infinity)
Cannot be drawn in quizlet
14. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Horizontal right
15. In an identity function if f(10)=x than What is y?
Cannot be drawn in quizlet
Y=10
Inconsistant
(-infinity - +infinity)
16. What points do you use to plot the inverse on a graph?
The opposite coordinates
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative inverse
17. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
F(x)=x^3
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
18. What does the average rate of change formula solve?
Piecewise
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
F(x)=IxI
19. A flat line underlining one vertical line is a symbol for...
Parraelle line
Perpendicular line
Because the demintor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1
20. Of the seven of algebra's common graph's how many are neither?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
21. What direction does f(x)-c move in standard absolute value formula?
Equation of a line
F(x)=x^3
Yes - all the domains points to one range
Down
22. Why can h not equal zero in the difference of a quotient function formula?
Even
Cannot be drawn in quizlet
[0 -+infinity)
Because the demintor of a quotient can never equal zero
23. What is the domain for a standard quadratic function?
The opposite coordinates
(-infinity - +infinity)
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
24. What is the formula for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
F(x)=x^3
F(x2)-f(x1) / x2-x1
25. Which direction does f(x-c) move
Inconsitent
The secant line
(-infinity - +infinity)
Horizontal right
26. What are the algebra of functions?
F(x+c) and f(x-c)
M
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
27. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The single number y=
F(x)=3 square root x
[0 -+infinity)
28. What type of slope do you have when a line falls left to right and m<0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola - up one and right three
M
Negative slope
29. Which direction does f(x+c) move
Horizontal left
Square Root
As many as you like
Parabola
30. What is the domain for an absolute value function?
The single number y=
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.
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
31. What is the domain of a square root function?
Conditional
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.
[0 -+infinity)
F(x)=+c and f(x)-c
32. What is another way to write f(x)=x - what type of function is this?
F(x)=x^3
Y=x - identity function
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
X=a
33. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
Any set of ordered pairs
Cannot be drawn in quizlet
34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
35. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Same
A line passing through two distinct points
Because the demintor of a quotient can never equal zero
36. What type of line is a constant function?
(-infinity - +infinity)
F(x) = x
F(x)=IxI
Horizontal
37. x^2+y=4 is this a function? Why?
38. 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?
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
When does a graph not define y as a function of x?
39. What does the graph of the cube root function look like on the graph?
Y=b
(-infinity - 0]you[0 - +infinity)
Inconsitent
Approach neg toward x through zero and above positive close to x
40. 4(x-7)=4x-28 is what type of an equation?
Y
Parabola - up one and right three
X=a
Identity
41. x= a real number is what type of equation?
Conditional
A V
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
The first set of components of an ordered pair
42. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Y=10
(-infinity - +infinity)
45 degree angle
43. What type of slope do vertical lines have?
Undefined
45 degree angle
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
44. How do you calculate a constant function in your calculator?
In a quotient
(-infinity - +infinity)
(-infinity - +infinity)
Y= then enter the number then press graph
45. What are two examples of composit functions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f
Undefined
(-infinity - +infinity)
46. What is the domain for an absolute value function?
Conditional
(-infinity - +infinity)
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero
47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
Math 4 x - 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
Set the x and y to zero and get the intercepts and then plot the points
48. What is a relation?
(-infinity - +infinity)
Any set of ordered pairs
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x
49. How many domains can you have pointing to one range?
As many as you like
Zero slope
X^2
X math 3 graph
50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
1 -2 -3
Odd