Vertical and Horizontal Methods for Linear Expressions
Vertical and horizontal methods for linear expressions is a Grade 6 algebra skill in Big Ideas Math Advanced 1, Chapter 13: Expressions and Equations. Students learn to add or subtract linear expressions either by aligning like terms vertically (column method) or by grouping like terms horizontally, applying the distributive and commutative properties.
Key Concepts
Linear expressions can be added or subtracted using two organizational methods: Vertical Method : Align like terms in columns and combine vertically Horizontal Method : Use parentheses and properties of operations to group and combine like terms.
Common Questions
What are vertical and horizontal methods for expressions?
The vertical method stacks like terms in columns for easy alignment and combination. The horizontal method groups like terms together on one line. Both methods produce the same simplified result — they are just different organizational formats.
How do you add linear expressions using the vertical method?
Write the expressions in two rows, aligning like terms in the same column. Then add the coefficients of each column. For example: (3x + 2) + (x + 5) arranged vertically gives 4x + 7.
What are like terms in linear expressions?
Like terms are terms that have the same variable raised to the same power. In the expression 3x + 4 + 2x + 1, the terms 3x and 2x are like terms (combine to 5x), and 4 and 1 are like terms (combine to 5).
Where is this skill taught in Big Ideas Math Advanced 1?
Vertical and horizontal methods for linear expressions are covered in Chapter 13: Expressions and Equations of Big Ideas Math Advanced 1, the Grade 6 math textbook.