College Preparatory Math (CPM) Grade 7 Vocabulary Glossary (Core Connections 2)

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. For example, 𝘢 + 0.05𝘢 = 1.05𝘢 means that “increase by 5%” is the same as “multiply by 1.05.”

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.

Solve word problems leading to inequalities of the form 𝘱𝘹 + 𝘲 > 𝘳 or 𝘱𝘹 + 𝘲 < 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½/¼ miles per hour, equivalently 2 miles per hour.

Recognize and represent proportional relationships between quantities.