Eday Review of Integers and Solving Equations Same

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 1) -2 + (-4) = 2) 12 + 5 = 3) -11 + (-16) =

Different Signs-Adding Ø SUBTRACT their absolute values Ø 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) Ø Examples : 4) 12 + (-6) = 5) 5 + (-8) = 6) -2 + 7 = 7) -6 + 4 =

Subtracting Integers • ADD THE OPPOSITE Step 1: Change the subtraction sign to addition Step 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

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.

Solving Equations • Show All Work 1. Write the original equation 2. Use properties of equality 1. 2. 3. 4. 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 ü 7 + 5 = 12

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 2 x + 6 = 14 -6 -6 2 x = 8 ÷ 2 x=4 √ 2(4) + 6 = 14