MA19.7A.18

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.18
Use variables to represent quantities in a real-world or mathematical problem and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.

Unpacked Content

Knowledge

Students know:

p(x + q) = px + pq, where p and q are specific rational numbers.
When multiplying or dividing both sides of an inequality by a negative number, every term must change signs and the inequality symbol reversed.
In the graph of an inequality, the endpoint will be a closed circle indicating the number is included in the solution set (≤ or ≥) or an open circle indicating the number is not included in the solution set ( ).

Skills

Students are able to:

Use variables to represent quantities in a real-world or mathematical problem.
Construct equations (px + q = r and p(x + q) = r) to solve problems by reasoning about the quantities.
Construct simple inequalities (px + q > r or px + q ) to solve problems by reasoning about the quantities.
Graph the solution set of an inequality.

Understanding

Students understand that:

Real-world problems can be represented through algebraic expressions, equations, and inequalities.
The inequality symbol reverses when multiplying or dividing both sides of an inequality by a negative number, and why.

Vocabulary

Algebraic expressions
Equations
Inequalities
Greater than
Greater than or equal to
less than
less than or equal to

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