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X In the Box

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X In the Box

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  1. 2.4 Solving Equations with the Variable on both sides CFU 3102.3.11 Solve multi-step linear equations with one variable.CLE 3102.3.4; Solve problems involving linear equations and linear inequalities.SPI 3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value.

  2. 3x -10= 3 Do to X Undo to X 7 • Divide by 7 • Subtracting 10 • Multiply by 3 • Divide by 3 • Add 10 • Multiply by 7 X In the Box

  3. 4 (2x - 16) = 5 Do to X Undo to X • Multiplied by 2 • Subtracting 16 • Multiplied by 4 • Divide by 4 • Add 16 • Divide by 2 X In the Box

  4. Do to X Undo to X • Divided by 8 • Adding 21 • Subtract 21 • Multiply by 8 X In the Box

  5. 2 + 5k = 3k -6 Do to X Undo to X Pick one side for Constants Pick one side for Variables • Multiplied by 5 • Added to 2 • Subtract 3k • Divide by 2 • Multiplied by 3 • Less 6 • Subtract 2 X In the Box

  6. Solve, then check your solution 1/3(18 + 12q) = 6(2q – 7) 18 + 12q = 18(2q – 7) 18 + 12q = 36q – 126 +126 -12q . 144 = 24q 6 = q 1/3(18+12(6))=6(2(6)-7) 1/3(18+72)=6(12-7) 1/3(90)=6(5) 30 = 30 • multiply by 3 • Distribute 18 • Right for variables, Left for constants • Divide by 24 • Check

  7. Do to X Undo to X • Adding a number • Subtracting a number • Multiplying by a number • Dividing by a number • Multiplying by a fraction • Dividing by Fraction • Squaring the number • Subtract the same number • Add the same number • Divide by the same number • Multiply by the same number • Multiply by the inverse of the fraction • Multiply by the fraction • Take the square root X In the Box

  8. Determine what answer will look like Eliminate Grouping Symbols (Distribute) Eliminate Fractions, if any Add or subtract to isolate variable on one side Divide both sides by Coefficient of the variable Check your solution Solve for Variable

  9. -2 + 10p = 8p -1 +2 10p = 8p + 1 -8p 2p = 1 p = ½ Solve, then check your solution • 8 + 5s = 7s - 2 • +2 -5s • 10 = 2s • Divide by 2 • 5 = s

  10. 4(2r – 8) = 1/7(49r + 70) Multiply by 7 7*4(2r -8)= 49r + 70 28(2r – 8) = 49r + 70 Distribute 2828*2r – 28*8 = 49r + 70 56r – 244 = 49r + 70 Subtract 49r and add 244 -49r +244 7r = 294 Divide by 7 r = 32 Check 4(2(32)-8) = 1/7(49(32)+70) 4(64-8)=1/7(1568+70) 4(56) = 1/7(1638) 234 = 234 Solve, then check your solution

  11. Solve 2m + 5 = 5(m -7) – 3m 2m + 5 = 5m – 35 – 3m 2m + 5 = 2m - 35 • Answer is a False Statement therefore • There is no solution No Solution

  12. Solve 3(r + 1) -5 = 3r -2 3r + 3 – 5 = 3r – 2 3r – 2 = 3r - 2 • Answer is a True Statement therefore • The statement is true for All Values Idenity

  13. Solve 8(5c – 2) = 10(32 + 4c) 40c – 16 = 320 – 40c No Solution Solve 4(t +20) = 1/5(20t +400) 4t + 80 = 4t + 80 Identity, True for All Values Solve and Check

  14. Page 100, 10 - 40 even Assignment

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