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