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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 many domains can you have pointing to one range?
Identity
1 -2 -3
As many as you like
A line passing through two distinct points
2. How do you calculate a constant function in your calculator?
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.
M
Y= then enter the number then press graph
3. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Undefined slope
The second set of components of an ordered pair
4. What type of slope do horizontal lines have?
(-infinity - +infinity)
Identity
Same
F(x^1)=f(x^2)
5. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Parabola
(-infinity - 0]you[0 - +infinity)
45 degree angle
6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
A line passing through two distinct points
Zero slope
4 -6 -9
When does a graph not define y as a function of x?
7. standard absolute value - horizontal shift formulas for left and right
Negative inverse
F(x)=3 square root x
F(x+c) and f(x-c)
(-infinity - +infinity)
8. What is the slope of a perpendicular line?
Negative inverse
F(x) = x
(-infinity - +infinity)
Identity
9. $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?
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations
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 opposite coordinates
10. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
M
20+.05x=5+.10x x=minutes
Y
11. What points do you use to plot the inverse on a graph?
Negative slope
Identity
X math 3 graph
The opposite coordinates
12. Why can h not equal zero in the difference of a quotient function formula?
Inconsitent
Zero slope
X math 3 graph
Because the demintor of a quotient can never equal zero
13. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The opposite coordinates
14. Two vertical lines side by side are a symbol for what
C>1 - horizontal shrinking
Even
Parraelle line
The secant line
15. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
X^2
Mirror image neg quadrant to that of the positive quandrant
X=a
16. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
0<c<1 - horizontal stretching
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.
17. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
Function notation
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
18. What are two examples of composit functions?
Horizontal
Cannot be drawn in quizlet
F of g and g of f
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.
19. What is the vertical line test?
The secant line
Only one
When does a graph not define y as a function of x?
Y= then enter the number then press graph
20. What is the range for the standard cubic function?
Parabola - up one and right three
(-infinity - +infinity)
X math 3 graph
20+.05x=5+.10x x=minutes
21. What is the horizontal line formula?
Y=10
Odd
The secant line
Y=b
22. What is another way of writing the absolute value function?
Postiive slope
Y=IxI
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
23. What is the vertical line test?
1 -2 -3
When does a graph not define y as a function of x?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
24. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
F(x)=+c and f(x)-c
25. What does the absolute value function look like?
Horizontal
(-infinity - +infinity)
A V
Horizontal left
26. What is the range of the constant function?
The single number y=
Any set of ordered pairs
M
Yes because two x's or domains can point to one y
27. What does the average rate of change formula solve?
The slope of a line containing two points
Inconsitent
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
28. f(x) = x^2+3x+5 - what type of formula is this?
M
Yes - all the domains points to one range
0<c<1 - horizontal stretching
Function notation
29. Of the seven of algebra's common graph's how many are even?
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
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
Conditional
30. Which direction does f(x+c) move
Horizontal left
Conditional
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
Math 4 x - graph
31. What is the range of the constant function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Equation of a line
The single number y=
32. What is the slope of a perpendicular line?
Negative inverse
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 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
33. 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.
(-infinity - +infinity)
Even
F(x+h)-f(x)/h h cannot equal zero
34. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Any set of ordered pairs
Three odd - cube root - identity - standard cubic
Inconsitent
X = the original sale price and the formula is x - .40x =$276
35. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Undefined slope
(-infinity - +infinity)
(-infinity - +infinity)
1 -2 -3
36. What type of line is a constant function?
No because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
M
37. What shape is the standard quadratic function?
(-infinity - +infinity)
Horizontal right
Parabola
Odd
38. y=f(cx) - What does this formula represent?
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
Identity
(-infinity - +infinity)
C>1 - horizontal shrinking
39. When is the only time (-infinity - +infinity) is not the domain?
Undefined
F(x)=suare root of x
In a quotient
Zero slope
40. Draw or discuss a constant function
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
Cannot be drawn in quizlet
(-infinity - +infinity)
41. What shape is the standard quadratic function?
Cannot be drawn in quizlet
Parabola
Parabola - up one and right three
45 degree angle
42. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Odd
Three odd - cube root - identity - standard cubic
Horizontal right
43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x^1)=f(x^2)
Yes - all the domains points to one range
(-infinity - +infinity)
(-infinity - +infinity)
44. What is a relation?
Perpendicular line
Cannot be drawn in quizlet
Any set of ordered pairs
Change in y / change in x = rise / run = y2-y1 / x2-x1
45. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Negative inverse
Yes because two x's or domains can point to one y
Undefined slope
X = the original sale price and the formula is x - .40x =$276
46. Why can h not equal zero in the difference of a quotient function formula?
The first set of components of an ordered pair
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
47. What is a domain?
Equation of a line
The first set of components of an ordered pair
In a quotient
45 degree angle
48. What is the formula for the square root function?
X^2
F(x)=suare root of x
Any set of ordered pairs
Equation of a line
49. What is a domain?
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
The first set of components of an ordered pair
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
50. What is the vertical line formula?
(-infinity - +infinity)
Conditional
Y= then enter the number then press graph
X=a