Algebra 2 Final Multiple Choice Questions

extraneous solution

A proposed solution that s not a solution of the original equation is called _____________ solution

2x is a​ term; 3x+5y is an algebraic​ expression; 5x=15 is an algebraic equation

Correctly identify the proper name for each of the following. ​2x, 3x+​5y, 5x=15

The 7 and 9 cannot be multiplied because of different roots. The correct answer should be 3 cubed root of 7

Find and correct the error. The cubed root of 7 times the square root of 9 = the cubed root of 63

would not be undefined for any value

For which values (if any) would ,x to the second minus 1 divided by x to the second plus four, be undefined?

its the largest degree of all of its terms For Example- x^3 + x^2 + 2x + 5 has a degree of 3

How do you find the degree of a​ polynomial?

the product rule for exponents

If "m" and "n" are positive integers and "a" is a real number, then a^m times a^n = a^m+n. This is an example of __________________.

A

If P/Q AND R/Q are rational expressions, then which of the following is true? A. Subtraction of P/Q from R/Q result sin R-P/Q B. Subtraction of P/Q to R/Q results in R+P/Q^2

No because absolute value is always positive

If an equation has the absolute value of a number on one side, and a negative on the other side, can this equation have a solution?

B

In which of the following inequalities must the inequality symbol be reversed in the solution process? A.2x-3>15 B. -2x+5<7

find the least common denominator

The first step when adding or subtracting rational expressions with unlike denominators is to​ _________.

prime polynomial

The polynomial x to the second plus 1 is an example of a

complex conjugates

The product (5+ i)(5-i) is a real​ number, 26. The factors in the problem are called _____________.

cartesian

The rectangular coordinate system is also called the​ ____ coordinate system.

the time for both painting together would be less than A hours

Two people are painting a room that would take one person alone A hours and the other person alone A+2 hours. Which of the following could be considered a statement of the time it would take both working together to pait the room?

the sum of the exponents on the variable contained in the term

What determines the degree of a term?

All terms are on one side of the equation and zero is on the other side.

What does it mean when a polynomial equation is in standard​ form?

the definition of negative exponents

What is "a" to the negative n equals One over "a" to the n, where a is not equal to zero, and n is a whole number an example of?

factor each radical

What is the first step in simplifying the square root of 18 plus the square root of 50?

a rational expression

What is the name for the quotient P/Q ?

synthetic division

What is the shortcut process that may be used when a polynomial is to be divided by a binomial of the form x−​c?

Ax+By=C

What is the standard form of a linear equation?

factor theorem

What is the theorem called where​ "a polynomial function​ f(x) has a factor of x−​c, if and only​ if, ​f(c)=​0"?

the line will go two units down and three to the right

What is true about the slope form Rise/Run = -2/3

clear the equation of rational expressions

What would be a first step when solving rational equations for a specified​ variable?

if it is less/greater than or equal to symbols use a closed dot circle if it is less/greater than symbols use an open dot circle

When graphing​ inequalities, explain how you know whether to use an open or closed​ dot/circle.

factoring

When working with polynomials, the opposite of multiplying is

graph of the boundary line will be a solid line

Which of the following is a true statement about the graph of an inequality in two variables if a point on the boundary line is to be included in the​ solution?

C

Which of the following rep. the slopes of perpendicular lines? A. a/b and b/a B. a/b and -1 C. a/b and -b/a

A (upside down U) B

Which of the following represents the intersection of two​ sets, A and​ B?

grouping

Writing axsquared+bx+c as a​ four-term polynomial and then factoring is called factoring by​ _____.

square root of 2 + 5

to rationalize the denominator of 2/ the square root of 2 - 5, what would be the conjugate?