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Practice Name Solving Equations with Decimals 5-7 Explain how to get the variable alone in each equation. 1. 7n 5 6.3 2. x 4 3.2 5 8 3. 67.3 5 3.2q Divide both Divide both Multiply both sides by 3.2. sides by 3.2. sides by 7. For 4 through 9, solve each equation. Check your answers. 4. x 4 8 5 5.6 x 5 44.8 7. 56 5 1.4t 5. p 3 3.4 5 7.48 p 5 2.2 8. n 4 2.1 5 12 6. 4z 5 50.8 z 5 12.7 t 5 40 n 5 25.2 9. 5 5 s 4 3.7 s 5 18.5 10. Sonja purchased some pens that cost 65 cents each. She spent a total of $9.10. How many pens did she purchase? Write an equation to describe the situation and solve. 0.65x 5 9.1; 14 pens 11. Critical Thinking If 32n 5 99.2, then what is the value of the expression 8n? A 3.1 B 12.4 C 24.8 D 32 12. Which equation has the same solution as m 4 2.6 5 3.5? A m 4 3.5 5 2.6 C 2.6m 5 3.5 B m 4 9.1 5 2.6 D 3.5m 5 2.6 13. Writing to Explain Tell how you would get the variable p alone on one side of the equation 32.4 5 4p. Sample answer: Since 4p means 4 times p, undo multiplication by dividing both sides of the equation by 4. P 5•7 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 6