Solving Two-Step Equations with Fractions and Decimals

This lesson focuses on solving two-step equations, including those with fractions and decimals. It covers methods for handling equations with fractions by hand and using calculators for decimal equations. The lesson includes applied problems to demonstrate real-world applications and concludes with a review of key concepts.

Why is a second day spent on solving two-step equations?

• To solve equations that involve fractions and decimals.

• To introduce new types of equations.

• To practice solving one-step equations.

• To review the basic ideas and procedures.

What is the first step in solving the equation 2/3 * X + 1/4 = 5/2?

• Multiply both sides by 3/2.

• Subtract 1/4 from both sides.

• Add 1/4 to both sides.

• Divide both sides by 2/3.

In the equation 5C - 7/3 = 2, what is the common denominator used to combine 2 and 7/3?

• 3

• 6

• 9

• 12

What is the final value of C in the equation 5C - 7/3 = 2?

• 3/8

• 15/13

• 13/15

• 8/3

How many students went on the field trip if 2/3 of the students in a class went and there were 18 people in total?

• 24

• 16

• 12

• 18

What is the first step in solving the equation 2.9X + 12.72 = 27.8?

• Subtract 12.72 from both sides.

• Divide both sides by 2.9.

• Multiply both sides by 2.9.

• Add 12.72 to both sides.

What is the value of W in the equation 0.08W - 1.75 = 8.13?

• 0.1235

• 12.35

• 1.235

• 123.5

How high is the balloon above the ground after 10 seconds if it starts at 9.2 feet and rises at 3.8 feet per second?

• 47.2 feet

• 38 feet

• 57.2 feet

• 28.2 feet

What is the equation to find the time T for a balloon to reach 200 feet if it starts at 9.2 feet and rises at 3.8 feet per second?

• 3.8T + 9.2 = 200

• 9.2T + 3.8 = 200

• 3.8T - 9.2 = 200

• 9.2T - 3.8 = 200

How much money did Carmen originally have in her checking account if she moved 35% to savings and ended up with $1259.75 in savings?

• $2500

• $2000

• $2250

• $2750