Explore how to use the distributive property to simplify numerical and variable expressions.
Grade 7 Material from CK-12Preview Assign
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Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
Use variables to represent quantities in a real? world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.