PERT Test – Questions & Correct Solutions (A+)
What is the quadratic formula and what is it used to find? Right Ans - The
correct answer is:
x=−b±b2−4ac√2awhenax2+bx+c=0 x=−b±b2−4ac2awhenax2+bx+c=0
It is used to find the zeroes of a function, or where the function crosses the x-
axis.
Explanation:
The quadratic formula is used to solve for the roots of a quadratic equation
(aka "equation of degree 2") in the form ax2+bx+c=0ax2+bx+c=0 where xx is
the variable and aa, bb and cc are constants. "Solving for the root" is another
phrase for "solving for the zeroes of the function" or "solving for the value of
the variable xx as the graph of the quadratic formula crosses the x-axis". A
quadratic equation has two roots or two values for xx.
What is the order of operations and how is it used? Right Ans - The correct
answer is:
It is the order in which mathematical expressions are to be evaluated:
Parentheses, exponents, and multiplication/division, addition/subtraction,
performed left to right.
Explanation:
One easy way to remember it is to learn this phrase: Please Excuse My Dear
Aunt Sally
What are the rules for combining and simplifying expressions involving
exponents with the same base? Right Ans - The correct answer is:
xa⋅xb=xa+bxa⋅xb=xa+b
xa÷xb=xa−bxa÷xb=xa−b
(xa)b=xa⋅b(xa)b=xa⋅b
x−a=1xax−a=1xa
x0=1,x≠0x0=1,x≠0
, Explanation:
To multiply expressions with exponents but the same base, simply copy the
base and add the exponents. To divide, simply copy the base and subtract the
exponents. To raise an expression to a power or exponent, copy the base and
multiply the exponents. An expression with a negative exponent can be
expressed another way as the reciprocal of the same base but with a positive
exponent. A base raised to zero exponent is equal to 1, the base being a non-
zero.
What are the different types of inequalities and how are they graphed?
Right Ans - The correct answer is:
Greater than, or less than (> or <) are graphed with open circles (meaning the
number is not part of the solution).
Greater than or equal to, less than or equal to (≥or ≤) are graphed with closed
or shaded circles (meaning the number is included in the solution).
Explanation:
When we graph, we make a visual representation of the inequality on the x
and y axes. Points are labeled with the solved values for (x,y)(x,y). A point is
represented by a tiny circle. An open circle (not shaded) means that the values
of (x,y)(x,y) at that point are not part of the solution, but the values either less
than or more than those values are included in the solution. A closed (shaded)
tiny circle, on the other hand, means that the solution includes the values of x
and y at that point.
What are the slope-intercept, point-slope, and standard form equations of a
line? Right Ans - The correct answer is:
Slope-Int: y=mx+by=mx+b where mm is slope and bb is y-intercept.
Point-Slope: (y−y1)=m(x−x1)(y−y1)=m(x−x1) where (x1,y1)(x1,y1) is a point
on the line and mm is slope.
Standard-Form: ax+by=cax+by=c.
Explanation:
What is the quadratic formula and what is it used to find? Right Ans - The
correct answer is:
x=−b±b2−4ac√2awhenax2+bx+c=0 x=−b±b2−4ac2awhenax2+bx+c=0
It is used to find the zeroes of a function, or where the function crosses the x-
axis.
Explanation:
The quadratic formula is used to solve for the roots of a quadratic equation
(aka "equation of degree 2") in the form ax2+bx+c=0ax2+bx+c=0 where xx is
the variable and aa, bb and cc are constants. "Solving for the root" is another
phrase for "solving for the zeroes of the function" or "solving for the value of
the variable xx as the graph of the quadratic formula crosses the x-axis". A
quadratic equation has two roots or two values for xx.
What is the order of operations and how is it used? Right Ans - The correct
answer is:
It is the order in which mathematical expressions are to be evaluated:
Parentheses, exponents, and multiplication/division, addition/subtraction,
performed left to right.
Explanation:
One easy way to remember it is to learn this phrase: Please Excuse My Dear
Aunt Sally
What are the rules for combining and simplifying expressions involving
exponents with the same base? Right Ans - The correct answer is:
xa⋅xb=xa+bxa⋅xb=xa+b
xa÷xb=xa−bxa÷xb=xa−b
(xa)b=xa⋅b(xa)b=xa⋅b
x−a=1xax−a=1xa
x0=1,x≠0x0=1,x≠0
, Explanation:
To multiply expressions with exponents but the same base, simply copy the
base and add the exponents. To divide, simply copy the base and subtract the
exponents. To raise an expression to a power or exponent, copy the base and
multiply the exponents. An expression with a negative exponent can be
expressed another way as the reciprocal of the same base but with a positive
exponent. A base raised to zero exponent is equal to 1, the base being a non-
zero.
What are the different types of inequalities and how are they graphed?
Right Ans - The correct answer is:
Greater than, or less than (> or <) are graphed with open circles (meaning the
number is not part of the solution).
Greater than or equal to, less than or equal to (≥or ≤) are graphed with closed
or shaded circles (meaning the number is included in the solution).
Explanation:
When we graph, we make a visual representation of the inequality on the x
and y axes. Points are labeled with the solved values for (x,y)(x,y). A point is
represented by a tiny circle. An open circle (not shaded) means that the values
of (x,y)(x,y) at that point are not part of the solution, but the values either less
than or more than those values are included in the solution. A closed (shaded)
tiny circle, on the other hand, means that the solution includes the values of x
and y at that point.
What are the slope-intercept, point-slope, and standard form equations of a
line? Right Ans - The correct answer is:
Slope-Int: y=mx+by=mx+b where mm is slope and bb is y-intercept.
Point-Slope: (y−y1)=m(x−x1)(y−y1)=m(x−x1) where (x1,y1)(x1,y1) is a point
on the line and mm is slope.
Standard-Form: ax+by=cax+by=c.
Explanation:
