College Algebra Test

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. 4(x-7)=4x-28 is what type of an equation?
Y=b
Identity
Absolute Value - Constant and Standard Quadratic
Inconsistant


2. Is an absolute value function even - odd or neither?
Even
X math 3 graph
F(x) = x
The slope of a line containing two points


3. y^2+x=4 is this a function? Why?


4. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y=IxI
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As many as you like


5. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
The opposite coordinates
The single number y=


6. What is the slope intercept formula? Define all the variables.
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


7. Draw or discuss a constant function
As equations
Parabola - up one and right three
Cannot be drawn in quizlet
F(x+c) and f(x-c)


8. Draw or discuss a decreasing function
F(x)=IxI
Cannot be drawn in quizlet
Horizontal left
Inconsistant


9. What is the domain for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Down
Y= then enter the number then press graph


10. Is an identity function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x


11. What is the slope of a perpendicular line?
Negative inverse
Undefined slope
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph


12. What is the domain for a standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Postiive slope
Horizontal


13. What is a relation?
Any set of ordered pairs
C>1 - horizontal shrinking
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)


14. What are the calculator instructions for the cube root function?
Math 4 x - graph
2nd key - x^2 - graph
Identity
Parraelle line


15. x^2+y=4 is this a function? Why?


16. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Negative inverse
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph


17. What is the formula for an absolute value function?
F(x)=IxI
Equation of a line
Even
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


18. What is a constant function?
F(x^1)=f(x^2)
The single number y=
Horizontal
The second set of components of an ordered pair


19. What is a range?
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.
The second set of components of an ordered pair
F(x+c) and f(x-c)
When does a graph not define y as a function of x?


20. What is the domain and range of a constant function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=x^2 - 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


21. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Identity
(-infinity - +infinity)


22. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y=x^2 - graph
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


23. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Even
20+.05x=5+.10x x=minutes


24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Set the x and y to zero and get the intercepts and then plot the points
X2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


25. What does the square root function look like on a graph?
Line ascending to the right gradually
(-infinity - +infinity)
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x


26. x= a real number is what type of equation?
Horizontal left
Conditional
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle


27. Two vertical lines side by side are a symbol for what
Y=10
Absolute Value - Constant and Standard Quadratic
Parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040


28. What type of line is an 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
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle


29. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
Cannot be drawn in quizlet
Conditional


30. What is slope?
A line passing through two distinct points
F(x+c) and f(x-c)
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
Negative slope


31. When is the only time (-infinity - +infinity) is not the domain?
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
In a quotient


32. Which direction does f(x+c) move
F(x)=IxI
Horizontal left
C>1 - horizontal shrinking
Even


33. Of the seven of algebra's common graph's how many are even?
Y=10
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph


34. What type of slope do horizontal lines have?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
Y=x - identity function
Same


35. What are the calculator instructions for a square root function?
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola
2nd key - x^2 - graph


36. What is the horizontal line formula?
Negative slope
Y=b
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)


37. 4(x-7)=4x+28 is what type of an equation?
When does a graph not define y as a function of x?
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
(-infinity - +infinity)


38. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Down
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


39. standard absolute value - vertical shift formulas for positve and negative
[0 -+infinity)
Identity
F(x) = x
F(x)=+c and f(x)-c


40. What is the vertical line test?
[0 -+infinity)
Horizontal left
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.
When does a graph not define y as a function of x?


41. y=f(cx) - What does this formula represent?
Math 4 x - graph
Neither
F of g and g of f
C>1 - horizontal shrinking


42. What is another way to write f(x)=x - what type of function is this?
The first set of components of an ordered pair
(-infinity - +infinity)
Y=x - identity function
Cannot be drawn in quizlet


43. What type of slope do you have when m=? and the line is vertical?
Equation of a line
(-infinity - +infinity)
Cannot be drawn in quizlet
Undefined slope


44. standard absolute value - vertical shift formulas for positve and negative
Y=b
Odd
F(x)=+c and f(x)-c
The first set of components of an ordered pair


45. Which direction does f(x)=+c move in standard absolute value formula?
Even
Horizontal
Up
(-infinity - +infinity)


46. What points do you use to plot the inverse on a graph?
Postiive slope
F(x) = x
(-infinity - +infinity)
The opposite coordinates


47. What type of line is an identity function?
(-infinity - +infinity)
45 degree angle
Identity
Three odd - cube root - identity - standard cubic


48. What is the formula in both horizontal stretching and horizontal shrinking?
The first set of components of an ordered pair
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


49. What is the formula for slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
Perpendicular line
Because the demintor of a quotient can never equal zero


50. What is the domain and range of a constant function?
(-infinity - +infinity)
Down
Identity
Conditional