CCSS 7.EE.B.4b · solve, graph & interpret inequalities
Practice the full 7.EE.B.4b job rather than stopping at an algebraic answer. Problems solve a one-variable inequality, graph the solution set with an open boundary point, and interpret the allowed values; challenge mode can require reversing the sign after division by a negative coefficient.
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Solve & graph inequalities · Grade 7 standard · Seed 271801
A field trip has a fixed $2 fee plus $8 per student. To keep the total below $26, what numbers of students x are possible? Write, solve, graph, and interpret the inequality.
Solve first, then place an open circle at the boundary and shade the correct direction.
A fundraiser starts with $17 and earns $7 per sale. To raise more than $101, what values of x are possible? Write, solve, graph, and interpret the inequality.
Solve first, then place an open circle at the boundary and shade the correct direction.
A fundraiser starts with $18 and earns $8 per sale. To raise more than $58, what values of x are possible? Write, solve, graph, and interpret the inequality.
Solve first, then place an open circle at the boundary and shade the correct direction.
Solve and graph: 2x - 12 < 6
Solve first, then place an open circle at the boundary and shade the correct direction.
Solve and graph: 6x + 4 > -8
Solve first, then place an open circle at the boundary and shade the correct direction.
Solve and graph: 5/2x - 2 > 13
Solve first, then place an open circle at the boundary and shade the correct direction.
A field trip has a fixed $13 fee plus $3 per student. To keep the total below $25, what numbers of students x are possible? Write, solve, graph, and interpret the inequality.
Solve first, then place an open circle at the boundary and shade the correct direction.
Solve and graph: 1/2x + 11 > 43/4
Solve first, then place an open circle at the boundary and shade the correct direction.
A field trip has a fixed $24 fee plus $2 per student. To keep the total below $40, what numbers of students x are possible? Write, solve, graph, and interpret the inequality.
Solve first, then place an open circle at the boundary and shade the correct direction.
Solve and graph: 4x + 1/2 < -71/2
Solve first, then place an open circle at the boundary and shade the correct direction.
A strict < or > inequality uses an open circle because the boundary value is not included.
Dividing or multiplying both sides by a negative number reverses the inequality sign.
In context, translate the graph back into the units of the problem instead of reporting only x < a or x > a.
Continue the 7.EE progression
Yes. Student versions include a clean number line for graphing; the checked view and answer key add the exact open-circle boundary and solution ray as vector graphics.
The focused Grade 7 standard names inequalities of the forms px + q > r and px + q < r, so this generator stays with strict inequalities.