Algebra 2 Unit 2 Test

Find the solution to the linear system using Gaussian elimination. {x+2y=5 {2x+3y=6

(-3,4)

The method of solving a system of equations or inequalities by systematically adding or subtracting a multiple of one equation or inequality to a multiple of another equation to eliminate a variable is called ___ elimination.

Gaussian

Change the statement from standard form to slope-intercept form. Identify the slope and y-intercept. 9x+2y=4

a, d

Write the algebraic definition for the piecewise function graph.

c d b e a f

Set both inequalities greater than (>)or less than (<) zero. Transform the second inequality so both have the same inequality symbol. Apply the Transitive Property and solve. Make sure the leading coefficient is positive. x+7>(-2) and y-5<9

d, b, e

A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are equal.

equation

A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal.

inequality

Every linear function with a nonzero slope will have a(n)______ function.

inverse

A(n) _________ function is a function defined differently on different intervals of the function's domain.

piecewise

A linear _____ is a set of two or more linear equations or inequalities considered together.

system

A function composed with its inverse function will always equal ___.

x

Solve. [x+6]=5

x=-11 or x=-1

Find the inverse of the linear function. f(x)=5x+10

y= 1/5x-2

Determine whether the functions are inverses by composing one with the other. f(x)=11x+4 g(x)=x-4/11

yes

The standard form of a linear equation is an equation in the form Ax+By=C with not both A and B equal to ______.

zero