Chapter 1.2

Two or more equations that have the same solution set are called ____________equations.

Equivalent Equations

The first step in solving 3+5​(x−4​)=4x+18 is to

Apply The Distributive Property

Fill in the blank so that the following statement is true. The first step in solving x-5/x-7=x-6/x+2 is to multiply both sides by​ _______.

(x+7)(x+2)

The fractions in the equation x/2=5+x−9/7 can be eliminated by multiplying both sides by the ________________ of x/2 and x-9/7 which is _______

Least common denominator, 14

Any proposed solution of a rational equation that causes a denominator to equal​ _______ is rejected.

0

An equation in the form ax+b=​0, a≠​0, such as 3x+17=​0, is called​ a ______ equation in one variable.

Linear Equations

Fill in each blank so that the resulting statement is true. The restrictions on the variable in the rational equation below are​ _______ and​ ________. 1/x-3 - 2/x+5=2x-1/x^2+2x-15

The restrictions on the variable in the rational equation are x≠−5 and x≠3.

What is the first step to solving this equation? 6/x+2/5=8/x

The first step in solving the equation is to multiply both sides by 5x.