Page 48 - Math Course 1 (Book 2)

Multi-Step Linear Equations

Mo. 8

Lesson 4 number theory

The study of numbers and the relationships
between them is called number theory.

KEY CONCEPTS:
1. Solve equations involving more than one
operation.
2. Solve consecutive integer problems.

MO. 8 - L4a

Solving Equations:
More Than One Operation

Vocabulary A-Z

Let us learn some vocabulary
Solve 3x + 5 = –7
Step 1: Model Equation

multi-step equations
Solving equations with more than one operation
are often called multi-step equations.

This multiple step equation uses multiplication and
division.
3x + 5 = –7
7m – 17 = 60 Place 3 x–tiles and 5 positive 1–tiles on one side of
7m – 17 + 17 = 60 + 17 the mat. Place 7 negative 1–tiles on the other side of
7m = 77 the mat.
7m 77
=
7 7 Step 2: Isolate the x–term.
m = 11

consecutive integers
are integers in counting order, such as 7, 8, and 9.
Beginning with an even integer and counting by
two will result in consecutive even integers.

3x + –5 = –7 – 5
Consecutive Even Consecutive Odd
Integers Integers
Since there are 5 positive 1–tiles with the x–tiles,
–4, –2, 0, 2, 4 –3, –1, 1, 3, 5 add 5 negative 1–tiles to each side to form zero
pairs.

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