Test 1
Which of the following is not a property of inequalities?
For c less than 0c<0, if a less than ba<b, a minus c greater than b minus ca−c>b−c.
Which of the following statements is not true?
Given an ordered pair of the form (x,y), y is called the coordinate.
Which of the following is typically not one of the three ways to describe the solutions to a linear inequality?
Write the solution in inequality form.
Which of the following equations is not a disguised quadratic equation?
x5−x3−6=0
If u is an algebraic expression and c is a real number such that c greater than 0c>0, then the inequality StartAbsoluteValue u EndAbsoluteValue less than cu<c is equivalent to
negative c less than u less than c−c<u<c. .
Which of the following is a rational equation?
6 x−1= 4 x−2
Which of the following statements is true?
All linear equations and all quadratic equations are polynomial equations.
Which of the following statements best defines the term "extraneous solution"?
An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.
Given two points which represent the endpoints of the diameter of a circle, which of the following statements is true?
The center of the circle is the midpoint of the given endpoints of the diameter.
Which of the following statements is true about linear equations of the form ax plus b equals 0 question mark ax+b=0?
The constants a and b must be real numbers with the constant a never equal to zero.
Which of the following statements describes the absolute value of a number a?
The distance from the number a to 0 on a number line can be represented by the absolute value of a number a.
Which statement describes how to derive the equation of a circle in standard form?
The equation of a circle can be derived using the distance formula.
Which of the following statements is true about the equation y equals by=b?
The equation y equals by=b is the equation of a horizontal line with zero slope.
Which of the following statements best describes how to derive the quadratic formula?
The quadratic formula can be derived by solving the equation ax squared plus bx plus c equals 0ax2+bx+c=0, a not equals 0a≠0, for x using the method of completing the square.
Which of the following statements is not true?
The solutions to quadratic equations are always real numbers.
Given that the points left parenthesis x 1 comma y 1 right parenthesisx1,y1 and left parenthesis x 2 comma y 2 right parenthesisx2,y2 are endpoints of a line segment, which of the following statements is true?
The x-coordinate of the midpoint of the line segment can be found by first taking the sum of x 2x2 and x 1x1 and then dividing the sum by two.
Suppose that you are solving a quadratic equation and realize that the discriminant is equal to 7. Which of the following statements best describes the solutions to this quadratic equation?
There must be two real solutions.
Which of the following statements is not true concerning the equation x squared minus c equals 0 for c greater than 0 question mark x2−c=0 for c>0?
This equation is not considered to be a quadratic equation because it is not of the form ax squared plus bx plus c equals 0ax2+bx+c=0.
If u is an algebraic expression and c is a real number such that c greater than 0c>0, then the equation StartAbsoluteValue u EndAbsoluteValue equals cu=c is equivalent to
u equals negative cu=−c or u equals cu=c.
If u is an algebraic expression and c is a real number such that c greater than 0c>0, then the inequality StartAbsoluteValue u EndAbsoluteValue greater than cu>c is equivalent to
u less than minus cu<−c or u greater than cu>c.
Which of the following equations is in point-slope form?
y−y1=mx−x1
Which of the following does not describe the slope, m, of a nonvertical line passing through the points left parenthesis x 1 comma y 1 right parenthesisx1,y1 and left parenthesis x 2 comma y 2 right parenthesisx2,y2?
m= x2−x1 y2−y1
Given the equation of a line in standard form, Ax plus By equals Upper CAx+By=C with Bnot equals≠0, which of the following represents the slope of this line?
m=− A B
Which of the following is not a valid strategy when solving a polynomial equation of the form ax cubed plus bx squared equals cx question mark ax3+bx2=cx?
Divide the equation by x.
Which of the following statements is not true?
Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular.
Which of the following best describes the zero product property?
If two factors multiplied together are equal to zero, then at least one of the factors must be zero.
Which of the following statements is true about rational equations?
It is important to check the solutions to a rational equation because it is possible to encounter extraneous solutions.
Which of the following statements is true?
It is possible for an absolute value equation to have no solution.
Which of the following statements is not true?
It is possible for the distance between two points to be negative.
Let line 1 with slope m 1m1 and line 2 with slope m 2m2 be two nonvertical perpendicular lines. Which of the following statements is not true?
It is possible for the value of m 1m1 to be zero.