|
Unit 2 Test A.4.b: Properties used to solve equations: Distributive Commutative Equality, Inverse, Identity Identify the properties that justify the work donebetween step 3 and step 4. Addition property of Equality. Distributive Property Additive Identity Additive Inverse Step 1: 2x + 5 = -1Step 2: 2x + 5 + (-5) = -1 + (-5)Step 3: 2x + 0 = -6Step 4: 2x = -6 Identify the property that justifies the work between steps 1 & 2. Division Property of Inequality Commutative Property Distributive Property Additive Inverse Step 1: 2(2 - x) ≥ -2Step 2: 4 - 2x≥ -2 Identify the property If x + 1 = 2 and 2 = y, then x +1 = y reflexive property transitive property symmetric property commutative property Identify the properties that justify each step. -2(a + 1) = -12 given -2a - 2 = -12 -2a -2+2 = -12 + 2 -2a + 0 = -10 -2a = -10 -2a = -10 -2 -2 1a = 5 a = 5 Equality of Division ? Multiplicative Inverse ? Multiplicative Identity ? Equality of Addition ? Additive Inverse ? Additive Identity ? Distributive Property ? Identify the property that justifies the work between steps 1 & 2. Multiplication Property of Inequality Multiplication Property of Equality Distributive Property Commutative Property Step 1: 3(x + 4) +x = (3x + 12 ) +x Step 2: (12 + 3x ) + xStep 3: 12 + (3x + x)Step 4: 12 + 4x Identify the property that justifies the work between steps 2 & 3. Associative property of addition Commutative property of Addition Distributive Property Multiplicative Inverse Step 1: 3(x + 4) +x = (3x + 12 ) +x Step 2: (12 + 3x ) + xStep 3: 12 + (3x + x)Step 4: 12 + 4x Which equation below represent second step of the solution process. -6x - 3 + 6 = 45 -3 (2x + 7) = 45 -6x + 1 + 6 = 45 -3(2x + 6) + 1 = 45 Step1: -3(2x + 1 ) + 6 = 45 Step 2: Step 3: -6x + 3 = 45 Step 4: -6x = 42 Step 5: x = -7 Determine which property was incorrectly used forjustifying the steps and name the correct property that should have been used: Step 1 ⅓x=24 GivenStep 2 3 (⅓ x) = 3(24) Equality of multiplicationStep 3 1x = 72 Additive InverseStep 4 x = 72 Multiplicative Identity Step 2; Equality of Division Step 2; Equality of Multiplication Step 3; Multiplicative Inverse Step 3; Additive Identity |