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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. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=IxI
F(x)=x^3
Any set of ordered pairs
2. Is an absolute value function even - odd or neither?
A line passing through two distinct points
When does a graph not define y as a function of x?
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
3. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic
Only one
Y=x - identity function
4. What are the calculator instructions for absolute value?
Only one
M
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
5. What is the range for an absolute value function?
Only one
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
Same
6. Two vertical lines side by side are a symbol for what
Horizontal
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
The secant line
7. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
45 degree angle
No because you cannot have one domain pointing at two y's or ranges
Parabola - up one and right three
8. What is the domain of an identity function?
The opposite coordinates
Y=b
The single number y=
(-infinity - +infinity)
9. In an identity function if f(10)=x than What is y?
Y=10
As equations
Line ascending to the right gradually
Even
10. 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?
C>1 - horizontal shrinking
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = 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
11. What direction does f(x)-c move in standard absolute value formula?
Identity
Parabola
Down
F(x^1)=f(x^2)
12. f(x) = x^2+3x+5 - what type of formula is this?
Math 4 x - graph
Even
Function notation
Undefined slope
13. What is the vertex?
Odd
The second set of components of an ordered pair
The minimum or maximum points
As equations
14. What is the standard quadratic function?
Absolute Value - Constant and Standard Quadratic
The secant line
X^2
F(x^1)=f(x^2)
15. What is the formula for slope?
Y=IxI
Even
Mirror image neg quadrant to that of the positive quandrant
Change in y / change in x = rise / run = y2-y1 / x2-x1
16. standard absolute value - vertical shift formulas for positve and negative
F(x) = x
Inconsistant
F(x)=+c and f(x)-c
45 degree angle
17. What type of line is a constant function?
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 = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
Horizontal
18. y^2+x=4 is this a function? Why?
19. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x+c) and f(x-c)
F of g and g of f
45 degree angle
20. What is the range of the constant function?
[0 -+infinity)
Conditional
The single number y=
X = the original sale price and the formula is x - .40x =$276
21. What type of slope do horizontal lines have?
The opposite coordinates
Same
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
22. What is the formula for an 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
Even
1 -2 -3
F(x) = x
23. What shape is the standard quadratic function?
Y=x - identity function
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 secant line
Parabola
24. What type of slope do you have when a line falls left to right and m<0?
Equation of a line
Negative slope
Parraelle line
F(x2)-f(x1) / x2-x1
25. $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?
2nd catalog (zero key -) abs(x) - graph
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
Yes because two x's or domains can point to one y
Identity
26. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Up
20+.05x=5+.10x x=minutes
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
27. What can never equal zero in the slope formula and why?
Negative slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
X2-x1 because the demonaitor of a quotient can never equal zero
Identity
28. Is a standard quadratic function even - odd or neither?
Y=x - identity function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal left
Even
29. y=f(cx) What does this formula represent?
Even
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c
Down
30. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F of g and g of f
Conditional
Same
31. What is the domain for the standard cubic function?
(-infinity - +infinity)
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero
Down
32. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
When does a graph not define y as a function of x?
[0 -+infinity)
33. What is the range of an identity function?
(-infinity - +infinity)
The secant line
F of g and g of f
Because the demintor of a quotient can never equal zero
34. What are the calculator instructions for a square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
Conditional
Conditional
35. What does the graph of the cube root function look like on the graph?
2nd key - x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
Equation of a line
Approach neg toward x through zero and above positive close to x
36. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
M
F(x) = x
F(x2)-f(x1) / x2-x1
37. What is the formula for to calculate the difference of a quotient function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+h)-f(x)/h h cannot equal zero
Equation of a line
X = the original sale price and the formula is x - .40x =$276
38. Is the standard cubic function odd - even or neither?
F(x2)-f(x1) / x2-x1
Odd
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
39. What is the formula for an identity function?
Inconsistant
F(x) = x
4 -6 -9
F(x)=suare root of x
40. Draw or discuss an increasing function
Down
Conditional
(-infinity - +infinity)
Cannot be drawn in quizlet
41. Is a constant function even - odd or neither?
Undefined
(-infinity - +infinity)
Even
Parabola
42. Which direction does f(x-c) move
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 second set of components of an ordered pair
Horizontal right
Y=IxI
43. What is a constant function?
45 degree angle
F(x^1)=f(x^2)
The secant line
Zero slope
44. What is the range of the constant function?
The single number y=
Square Root
Inconsistant
Horizontal
45. Which direction does f(x+c) move
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
Horizontal left
Y= then enter the number then press graph
46. What is a range?
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
The second set of components of an ordered pair
F(x^1)=f(x^2)
47. What shape is the standard quadratic function?
Neither
Y=x - identity function
F(x)=suare root of x
Parabola
48. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Down
Odd
49. What is the horizontal line formula?
Inconsitent
Odd
Identity
Y=b
50. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
The single number 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.