Ext 6-8 Sampler

43 Grade7 PartB 72 ©Math Teachers Press, Inc., Reproduction by anymeans is strictly prohibited. Two-Step Inequalities An inequality is solved the sameway as an equation. If you add, subtract, multiply or divide both sides of an inequality by a positive number, the inequality remains the same. Solve and graph the solution set for 3 x +4>10. Solve and graph the solution set. Solve. List at least three examples of numbers in the solution set. 1. 5 x –2<13 4. x 6 +1 ) 1 2. – 2 y –1>7 5. 3 x +1<2( x –1) 3. 7 x –4 * 3 x +8 6. – 3 a +6 ) a – 2 Rods andSquares > – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 7. – 5 x +10 * 14 10. 7 x +4<3 x –8 8. 5 x –3<4 x –1 11. x 4 +3 ) – 5 9. x 3 –5 * – 7 12. – 4 x –2<8+2 x > > > Add – 4 (4white squares) to both sides. 3 x +4>10 Divide both sides by 3. 3 x +4–4>10–4 Graph the solution set. 3 x >6 x >2 Combine squares to make pairs of zero. – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 Part B Two-Step Inequalities