1.3 Day 1 Solving Eq. with Variable on both Sides

Solving Eq. with Variables on both Sides

​1.3 Day 1

​Learning Target

Student will be able to…

• Solve linear equations that have variables on both sides.

• Use linear equations to solve real-life problems.

Multiple Choice

Simplify: $$7\left(1-8n\right)$$

• $$56n+7$$

• $$56n-7$$

• $$-56n+7$$

• $$-56n-7$$

Multiple Choice

Simplify: $$-8\left(b+3\right)$$

• $$-8b-24$$

• $$8b+24$$

• $$-8b+24$$

• $$8b-24$$

Multiple Choice

Simplify: $$-6\left(x+2\right)-2$$

• $$-6x+14$$

• $$-6x-14$$

• $$6x-14$$

• $$6x+14$$

Multiple Choice

Simplify: $$4n-\left(7-6n\right)$$

• $$10n+7$$

• $$-10n-7$$

• $$10n-7$$

• $$-10n+7$$

Steps

1. Simplify one or both sides of the equation, if necessary.

2. Use the inverse operations to collect the variable terms on one side, and collect the constant terms on the other side, and isolate the variable.

Example 1: Solve and Check

a)

b)

Example 2: Translate to Algebraic Equation, then solve

Two thirds of a number reduced by 11 is equal to 4 more than the number.
Find the number.

Example 3

The formula for the perimeter of a rectangle is , , where l is the
length and w is the width. A rectangle has a perimeter of 24 inches. Find its
dimensions if its length is 3 inches greater than its width.

Multiple Choice

Solve: $$1.4f+1.1=8.3-f$$

• $$3$$

• $$-3$$

• $$3.5$$

• $$-3.5$$