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Algebraic Equations Solving Help

Solve algebraic equations step by step with isolate, cancel, and answer guidance. Improve your math skills effortlessly!

hadley-hodge
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Algebraic Equations Solving Help

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  1. 1. -11 = -18 + n -18 Isolate n: +18 +18 Cancel the -18 7 = n n = 7  Answer

  2. 2. Change double neg. v – (-6) = -15 6 v – - 6 = -15 Isolate v: -6 -6 Cancel the +6 v = -21  Answer

  3. 3. y – 4 = -12 – 4 Isolate y: +4 +4 Cancel the -4 y = -8  Answer

  4. 4. (-11) Isolate x: -9 = x + (-11) +11 +11 Cancel the -11 2 = x x = 2  Answer

  5. 5. a + 15 = -45 + 15 Isolate a: -15 -15 Cancel the +15 a = -60  Answer

  6. 6. 13 + c = 10 13 Isolate c: -13 -13 Cancel the 13 c = -3  Answer

  7. 7. + ( - 1 3 ) = 8 15 8 15 8 15 Get Common Denominator b + ( - 15 35 ) = b b + - - 5 15 5 15 ) ( = Isolate b: 5 15 5 15 5 15 + + Cancel - 13 15 b =  Answer

  8. 8. -12m = 48 -12 Isolate m: -12 -12 Cancel the -12 m = -4  Answer

  9. 9. t 4 Isolate t: = -9 t 4 ( ) = (-9) 4 4 Cancel the 4 4 t = -36  Answer

  10. 10. u 8 - = -6 Isolate u: u 8 - (- ) = (-6) (-8) (-8) Cancel the -8 8 u = 48  Answer

  11. 11. 4 5 -28 = w Isolate w: 4 5 7 4 5 4 5 5 4 5 4 (-28) = ( w) Cancel the 1 1 -35 = w w = -35  Answer

  12. 12. 7 8 4n = - 2 Make into fractions, then isolate n. 23 8 1 4 1 4 ( 4n) = (- ) 4 1 Cancel the 4 1 n = - Answer 23 32

  13. 13. 3 4 2 5 -2 n = - 3 Make into fractions, then isolate n. 5 15 4 -5 12 -5 12 (-12n) = (- ) 12 5 Cancel the - -12 5 5 4 9 16 n = or 1  Answer 25 16

  14. 14. Negative ten times a number is -50 Write an equation: -10 n -50 = -10n = -50  Answer

  15. 15. Eleven less than product of four and y Eleven less than the product of four and y is equal to one-half the difference of y and 13. difference Write an equation: 1 2 1 2 4y  11 (  ) = y 13 4y – 11 = (y – 13) Answer

  16. 16. Eight times sum y x Eight times the sum of x and y is 10 more than twice y 10 more than Write an equation: 8 ( + ) x y 2 = 10 + y 8(x + y) = 10 + 2y  Answer

  17. 17. 20 x A number x decreased by 20 is the same as seven less than a divided by b seven less than Write an equation: x  20 = a  b  7 x – 20 = a  b – 7  Answer

  18. 18. The product of three and v is the same as twice the sum of the cube of w and eight. product three v Write an equation: twice sum cube w eight 3 v = 2 ( + ) w 3 8  3v = 2(w3 + 8)  Answer

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