MAT 1222 week 1 Solve Linear Equationsx - Module 1 Examples for Quiz PEMDAS \u2013 the order of operations Parentheses Exponents 3^2 32 Mult\/Div from

MAT 1222 week 1 Solve Linear Equationsx - Module 1...

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Module 1 Examples for Quiz
PEMDAS – the order of operations Parentheses ( ), [ ], { }, /, Exponents, 3^2, 3 2 Mult/Div, from left to right as they occur Add/Sub, from left to right as they occur 3-2(7-5 2 )÷6 3-2(7-25)÷6 3-2(-18)÷6 3+36÷6 3+6=9
Simplifying expressions Combine Like terms 6m – 3n + 11m + 11n 6m + 11m - 3n + 11n 17m + 8n The Distributive Property 3(2a + 5) – 5(7a + 2) 6a + 15 – 35a – 10 -29a + 5
ExampleWhat is the correct value of |-38+17| - 5?
3x = 213x/3 = 21/3x = 7Answer is 7
Linear Equations 2x – 7 = 5x + 172x – 5x = 17 + 7-3x = 24-3x/-3 = 24/-3x = -8x – 5 = x , multiply all terms by 1212*x – 12*5 = 12*x3x – 60 = 10x3x – 10x = 60-7x = 60x = -60/7, avoid mixed numbers or decimals
7 – 2(x – 5) = 117 – 2x + 10 = 11-2x + 17 = 11-2x = 11 – 17-2x = -6-2x/-2 = -6/-2x = 3
ExampleRewrite the formula for initial velocity (vi) to solve for final velocity (vf): vi= 2vf + a*t Subtract a*t from both sides: 2*vf= vi– a*tDivide both sides by 2: v f
Example, *, x can not be used any more for multiplication Answer : Do no more from this stage; there are no like terms.
Example36x/4 + 24z/3 = 202 divided by 4 is 3, and 2 divided by 3 is 4, so we have
Examplefor are a of a triangle ‘h’:A= ½(b*h)Multiply both sides by 2: 2A=b∗hDivide both sides by b: 2A/b = hh = 2A/b
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