Question

name:
lesson 2
date:
solving equations
multi step
warm up
directions: simplify each expression.

1. 10c + c
2. 5m + 2(2m - 7)
3. 6x - (2x + 5)

solving equations procedure

1. combine like terms on each side of the equal sign
2. add or subtract on both sides
3. multiply or divide on both sides
4. check

solving two step equations
model problems

1. 3x + 7 = -5
2. 18 = 4x + 10

Explanation:

Warm Up Simplify:

1. For \(10c + c\):

Step1: Identify like terms

The terms \(10c\) and \(c\) are like terms (both have the variable \(c\)).

Step2: Combine like terms

Add the coefficients: \(10 + 1 = 11\), so \(10c + c = 11c\).

Step1: Distribute the 2

Using the distributive property \(a(b + c)=ab+ac\), we get \(2(2m - 7)=4m-14\).

Step2: Combine like terms

Now we have \(5m+4m - 14\). Combine the \(m\) terms: \(5m + 4m=9m\), so the simplified form is \(9m - 14\).

Step1: Distribute the negative sign

\(6x-(2x + 5)=6x-2x - 5\).

Step2: Combine like terms

Combine the \(x\) terms: \(6x-2x = 4x\), so the simplified form is \(4x - 5\).

Answer:

\(11c\)

1. For \(5m + 2(2m - 7)\):