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Check possible solutions

Learn how to check if a number is a solution of an equation or inequality and solve using mental math. Includes guided practice with examples and solutions.

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Check possible solutions

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  1. ? 8 – 2(3) 2 ≤ 2 = 2 3 is a solution. 4(3) – 5 6 7 = 6 3is not a solution. X 2(3) + 5 12 11 > 12 3 is not a solution. X 5 + 3(3) 20 ? ? ? > = = 14 ≤ 203is a solution. EXAMPLE 2 Check possible solutions Check whether 3 is a solution of the equation or inequality. Substitute Equation/Inequality Conclusion a.8 – 2x = 2 b.4x– 5=6 c.2z + 5 > 12 d.5 + 3n ≤ 20

  2. 6 + 4 = 10 20 –12 = 8 6(7) = 42 45 = 9 5 a d. = 9 5 EXAMPLE 3 Use mental math to solve an equation Equation Solution Check Think a. x + 4 = 10 6 What number plus 4 equals10? 20minus whatnumber equals8? b. 20 –y = 8 12 c. 6n = 42 6times what numberequals42? 7 What number divided by 5 equals 9? 45

  3. > – 4.2n + 3 21; 9 for Examples 2 and 3 GUIDED PRACTICE Check whether the given number is a solution of the equation or inequality. 2.9 – x = 4; 5 solution 3.b + 5< 15; 7 solution solution

  4. 7. r = 10 4 for Examples 2 and 3 GUIDED PRACTICE Solve the equation using mental math. 5 5. m + 6 = 11 8 6. 5x = 40 40

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