Test your basic knowledge |

College Algebra Test

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 steps for solving a word problem?
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.
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
45 degree angle
Parabola

2. 4x+5x=8x is what type of an equation?
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Negative inverse
The first set of components of an ordered pair

3. What is the range for a standard quadratic function?
Zero slope
Perpendicular line
Even
(-infinity - 0]you[0 - +infinity)

4. What is a relation?
Yes - all the domains points to one range
Any set of ordered pairs
Y=IxI
2nd catalog (zero key -) abs(x) - graph

5. What is the vertex?
The single number y=
Horizontal right
The minimum or maximum points
Conditional

6. What is the letter used to represent slope?
Horizontal right
In a quotient
2nd key - x^2 - graph
M

7. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Identity
Inconsistant
Y=b
X = the original sale price and the formula is x - .40x =$276

8. f(x) = x^2+3x+5 - what type of formula is this?
Yes because two x's or domains can point to one y
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
Function notation

9. 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<c<1 - horizontal stretching
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

10. What are the four steps for finding the inverse of a function?
Inconsistant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Absolute Value - Constant and Standard Quadratic
Undefined

11. How many ranges can you have for each domain?
Same
In a quotient
Only one
45 degree angle

12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Parabola
X=a
1 -2 -3
X is the hours to repair the boat. $1603-532=anwser/63 = x

13. What type of line is a constant function?
Horizontal
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Neither

14. What is the average rate of change formula?
X = the original sale price and the formula is x - .40x =$276
Horizontal left
F(x2)-f(x1) / x2-x1
As equations

15. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
X^2
Cannot be drawn in quizlet

16. What is the range of a square root function?
Up
[0 -+infinity)
Zero slope
When does a graph not define y as a function of x?

17. What is the domain for a standard quadratic function?
F(x)=IxI
(-infinity - +infinity)
Odd
Yes because two x's or domains can point to one y

18. How do you calculate a constant function in your calculator?
Math 4 x - graph
X=a
Y= then enter the number then press graph
F(x+c) and f(x-c)

19. What is the formula for the cube root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=3 square root x
(-infinity - +infinity)
Horizontal

20. What type of slope do vertical lines have?
As equations
When does a graph not define y as a function of x?
In a quotient
Undefined

21. Which direction does f(x+c) move
Horizontal right
Cannot be drawn in quizlet
Horizontal left
Up

22. Is a standard quadratic function even - odd or neither?
Negative slope
Even
A V
As many as you like

23. What is the formula for an absolute value function?
Approach neg toward x through zero and above positive close to x
Negative inverse
F(x)=IxI
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

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Cannot be drawn in quizlet
(-infinity - +infinity)
Only one
The secant line

25. What can never equal zero in the slope formula and why?
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
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.

26. y=f(cx) - What does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
Odd
C>1 - horizontal shrinking
Y

27. What is slope?
(-infinity - 0]you[0 - +infinity)
Identity
Neither
A line passing through two distinct points

28. What is the formula for an identity function?
As equations
F(x) = x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points

29. How many domains can you have pointing to one range?
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function
Same
As many as you like

30. x= a real number is what type of equation?
Conditional
Parraelle line
F(x)=+c and f(x)-c
Yes because two x's or domains can point to one y

31. Is an absolute value function even - odd or neither?
Even
Math 4 x - graph
Approach neg toward x through zero and above positive close to x
Y

32. What is the formula for an absolute value function?
Equation of a line
F(x)=IxI
F of g and g of f
Parabola - up one and right three

33. What are the steps for solving a word problem?
A V
Undefined slope
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

34. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
1 -2 -3
X=a
Function notation

35. y=f(cx) What does this formula represent?
F(x^1)=f(x^2)
1 -2 -3
0<c<1 - horizontal stretching
Horizontal

36. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Because the demintor of a quotient can never equal zero
Inconsistant
Yes because two x's or domains can point to one y

37. 4x+5x=8x is what type of an equation?
F(x)=IxI
The secant line
Conditional
Y= then enter the number then press graph

38. What are the four steps for finding the inverse of a function?
Inconsistant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

39. Which direction does f(x)=+c move in standard absolute value formula?
Postiive slope
F(x+h)-f(x)/h h cannot equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Up

40. Of the seven of algebra's common graph's how many are even?
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph
F(x)=3 square root x

41. How would this formula move f(x)=(x+1)^2-3
Because the demintor of a quotient can never equal zero
Parabola - up one and right three
2nd key - x^2 - graph
F(x+h)-f(x)/h h cannot equal zero

42. Why can h not equal zero in the difference of a quotient function formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
Same

43. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Line ascending to the right gradually
0<c<1 - horizontal stretching
Horizontal right

44. Why can h not equal zero in the difference of a quotient function formula?
F(x)=IxI
F(x)=+c and f(x)-c
Because the demintor of a quotient can never equal zero
The slope of a line containing two points

45. What is the vertex?
The minimum or maximum points
Inconsistant
Even
Parabola

46. standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
M
Even
F(x)=+c and f(x)-c

47. What is the formula for the square root function?
F(x^1)=f(x^2)
F(x)=suare root of x
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

48. What type of line is an identity function?
The secant line
4 -6 -9
45 degree angle
No because you cannot have one domain pointing at two y's or ranges

49. What shape is the standard quadratic function?
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
F(x+c) and f(x-c)
Parabola

50. What direction does f(x)-c move in standard absolute value formula?
X math 3 graph
Set the x and y to zero and get the intercepts and then plot the points
Down
Three odd - cube root - identity - standard cubic