{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MTH 120 - Simplifying Mathematical Expressions

# MTH 120 - Simplifying Mathematical Expressions - 5[3(7 t...

This preview shows pages 1–4. Sign up to view the full content.

–5[–3(7 –t) –4(8 –2t)] –20 = –6[–2(6 –3t) –4] Detailed Method Eliminate the inner most parentheses by using the distributive property, but first convert “minus 4” to “plus –4”… –5[ (–3) ( 7 – t ) + (–4) ( 8 – 2t ) ] – 20 = –6[ (–2) ( 6 – 3t ) – 4] –5[ (–3) 7 – (–3) t + (–4) 8 – (–4) 2t] – 20 = –6[ (–2) 6 – (–2) 3t – 4] Simplify inside the innermost parentheses; multiplication only… –5[–21 – (–3t) + (–32) – (–8t) ] – 20 = –6[–12 – (–6t) – 4] Simplify inside the innermost parentheses by converting “minus –3t” to “plus 3t” and “plus –32” to “minus 32”, etc… –5[ –21 + 3t – 32 + 8t ] – 20 = –6[ –12 + 6t – 4 ] Simplify inside the innermost parentheses by collecting like terms… –5[11t – 53] – 20 = –6[6t – 16] Eliminate the inner most parentheses by using the distributive property… (–5) 11t – (–5) 53 – 20 = (–6) 6t – (–6) 16 Simplify inside the innermost parentheses; multiplication only… –55t – (–265) – 20 = –36t – (–96)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
–55t – (–265) – 20 = –36t – (–96) Simplify by converting “minus –263” to “plus 263”, etc… –55t + 265 – 20 = –36t + 96 Simplifying by collecting like terms… –55t + 264 – 20 = –36t + 96 –55t + 245 = –36t + 96 Use the Additional and Multiplication principles to solve for x… –55t + 245 = –36t + 96 +36t –245 +36t –245 –19t = –149 –19t –149 –19 –19 149 19 = t =
Solve –5[–3(7 –t) –4(8 –2t)] –20 = –6[–2(6 –3t) –4] Short Method –5[–21 + 3t – 32 + 8t] – 20 = –6[–12 + 6t – 4] –5[11t – 53] – 20 = –6[6t – 16] –55t + 265 – 20 = –36t + 96 –55t + 245 = –36t + 96 +36t –245 +36t –245 –19t = –149 t = –149 / –19 t = 149 / 19

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}