Solve word problems leading to equations of the form *px* + *q* = *r* and *p*(*x* + *q*) = *r*, where *p*, *q*, and *r* are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. *For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?*
6 interactive, auto-graded activities for 7th grade students practising 7.EE.B.4a. Mini Labs put the standard to work in a real scenario; Skill Practice builds fluency on the standard alone. Every one is randomized per student, so each learner gets their own numbers.
Help plan a lemonade stand by writing expressions for cost and profit, solving inequalities to reach a profit goal, and analyzing how the number of cups sold affects earnings. Students build a table, plot a linear graph, and use a slider to visualize how profit changes—making math both real and interactive!
Students compare three streaming services by writing and evaluating algebraic expressions that model total subscription costs over time. They determine which plan is most cost-effective and justify their choice using math.
In this skill-building worksheet, students practice writing algebraic expressions from real-world scenarios using variables. They also analyze graphs to interpret the relationships and understand how cost or quantity changes.
Practice solving one- and two-step equations with rational numbers, including fractions and decimals. Students can enter answers in either decimal or fraction form.
Practice solving real-world problems using one-step and two-step equations with rational numbers. Students write and solve equations based on scenarios like taxi fares, savings, and ticket purchases—perfect for building equation fluency.
Students compare three different phone plans by writing algebraic expressions to model their monthly cost. They evaluate these expressions for different data usage amounts and determine at what point one plan becomes more economical than the others.