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E-day

E-day. Review of Integers and Solving Equations. Same Signs- Adding. Add the absolute values and use the common sign 5+ 6= 11 Positive + Positive = Positive -5 + (-6) = -11 Negative + Negative = Negative -2 + (-4) = 2) 12 + 5 = 3) -11 + (-16) =. Different Signs-Adding.

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E-day

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  1. E-day Review of Integers and Solving Equations

  2. Same Signs- Adding Add the absolute values and use the common sign 5+ 6= 11 Positive + Positive = Positive -5 + (-6) = -11 Negative + Negative = Negative -2 + (-4) = 2) 12 + 5 = 3) -11 + (-16) =

  3. Different Signs-Adding • SUBTRACT their absolute values • The sum is: Positive if the positive integer’s absolute value is greater (more positives) Negative if the negative integer’s absolute value is greater (more negatives) • Examples : 4) 12 + (-6) = 5) 5 + (-8) = 6) -2 + 7 = 7) -6 + 4 =

  4. Subtracting Integers • ADD THE OPPOSITE Step 1: Change the subtraction sign to additionStep 2: Change the second number to its opposite. ( pos. to neg. or neg. to pos.) • Step 3: Follow addition rules Same sign = Add Different sign = Subtract Ex: 2 – 6 – (-4) = 2 + (-6) + 4 = 0

  5. Multiplying and Dividing Integers • Same Sign- the product of two integers with the same sign is POSITIVE. • Different Sign- the product of two integers with different signs is NEGATIVE. • Zero- the product of an integer and 0 is 0.

  6. Solving Equations • Show All Work • Write the original equation • Use properties of equality • Solve addition equations using subtraction • Solve subtraction equations using addition • Solve multiplication equations using division • Solve division equations using multiplication 3. Write solution 4. Check your solution x + 5 = 12 - 5 - 5 x = 7 • 7 + 5 = 12

  7. Solving 2-step Equations • Equations have two different operations • Write the Equation • Then, undo addition or subtraction • Next, undo multiplication or division • Write the solution • Check your solution 2x + 6 = 14 -6 -6 2x = 8 ÷2 ÷2 x = 4 √ 2(4) + 6 = 14

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