Download Lesson 4 - Solving Multi

Pre-Algebra
Unit 2 Lesson 4
Solving Multi-Step Equations
Holt Course 3 (7.2)
Objective: 8.EE.7 Solve linear equations in one variable ( involving multi-steps)
8.EE.7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding
expressions using the distributive property and collecting like terms.
Warm-Up
Problem of the Day
Ana has twice as much money as Ben, and Ben has three times as much as Clio. Together they have $160. How much does
each person have?
The Distributive Property
a(b + c) = ab + ac for all real numbers a, b, and c.
2(3 + 5) = 2(3) + 2(5)
Using the Distributive Property to Simplify
a. 6(5 + n) – 2n
b. 3(c + 7) – c
Solving Equations That Contain Like Terms
a. 8x + 6 + 3x – 2 = 37
b. 9x + 5 + 4x – 2 = 42
If an equation contains fractions, it may help to multiply both sides of the equation by the least common
denominator (LCD) of the fractions. This step results in an equation without fractions, which may be easier to
solve. LCD is the smallest number that each of the denominators will divide into.
a.
c.
b.
Applications
On Monday, David rides his bicycle m miles in 2 hours. On Tuesday, he rides three times as far in 5 hours.
If his average speed for the two days is 12 mi/h, how far did he ride on Monday? Round your answer to the
nearest tenth of a mile.
On Saturday, Penelope rode her scooter m miles in 3 hours. On Sunday, she rides twice as far in 7 hours. If
her average speed for two days is 20 mi/h, how far did she ride on Saturday? Round your answer to the
nearest tenth of a mile.