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Algebra with Whole Numbers Algebraic Notation Simplify 2´ x = 2x Simplify 3´ y = 3y Simplify x ´4 = 4x Simplify y ´5= 5y Simplify x´y= xy Simplify y´x= xy Simplify 6´ x ´ y = 6xy Simplify y ´7´ z = 7 yz Simplify z ´ x ´8 = 8xz Simplify 9´ x ´ y = 9xy Simplify x x ¸2 = 2 Simplify y ¸3= y 3 Simplify 4¸ x = 4 x Simplify 5¸ y = 5 y Simplify x¸y= x y Simplify y¸x= y x Simplify x´y´z= xyz Simplify x´y¸z= xy z Simplify x ¸ ( y ´ z) = x yz Simplify 2 ´ (x +1) = 2( x +1) Simplify (x +1) ´ 3 = 3( x +1) Simplify 2 ¸ (x +1) = 2 ( x + 1) Simplify (x +1) ¸ 3 = x +1 3 Simplify (x +1) ¸ 3 = x +1 3 Simplify 4 ´ ( y - z) = 4( y - z) Simplify ( y - z) ´ 5 = 5( y - z) Simplify 4 ¸ ( y - z) = 4 y-z Simplify ( y - z) ¸ 5 = y-z 5 If x = 6, y = 3 and z = 2 x + 3=9 If x = 6, y = 3 and z = 2 x -3=3 If x = 6, y = 3 and z = 2 3x = 18 If x = 6, y = 3 and z = 2 x =2 3 If x = 6, y = 3 and z = 2 x+ y= 9 If x = 6, y = 3 and z = 2 x-y= 3 If x = 6, y = 3 and z = 2 xy = 18 If x = 6, y = 3 and z = 2 x = y 2 If x = 6, y = 3 and z = 2 2y + 3 = 9 If x = 6, y = 3 and z = 2 2( y + 3) = 12 If x = 6, y = 3 and z = 2 2y - 3 = 3 If x = 6, y = 3 and z = 2 2( y - 3) = 0 If x = 6, y = 3 and z = 2 xyz = 36 If x = 6, y = 3 and z = 2 xy =9 z If x = 6, y = 3 and z = 2 xz =4 y If x = 6, y = 3 and z = 2 x =1 yz If x = 6, y = 3 and z = 2 x( y + z) = 30 If x = 6, y = 3 and z = 2 xy + xz = 30 If x = 6, y = 3 and z = 2 x( y - z) =6 If x = 6, y = 3 and z = 2 xy - xz = 6 If x = 6, y = 3 and z = 2 ( x + y) z = 18 If x = 6, y = 3 and z = 2 x + yz = 12 If x = 6, y = 3 and z = 2 x =6 y-z If x = 6, y = 3 and z = 2 x - z =0 y If x = 6, y = 3 and z = 2 y =9 2 If x = 6, y = 3 and z = 2 4y = 36 2 If x = 6, y = 3 and z = 2 4y = 12 If x = 6, y = 3 and z = 2 144 4 y = ( ) 2 Write the formula. • Double a number n then take away 6 to give an answer a. 2n - 6 = a Write the formula. • Halve a number x then add 4 to give the number y. x +4= y 2 Write the formula. • Multiply a number p by 6 then subtract 4 to give the answer r. 6p -4 = r Write the formula. • Add 3 to a number m then multiply this all by 4 to give q. 4( m + 3) = q Write the formula. • First add 6 to a number p then divide by 3 to get the final answer r. p+6 r= 3 Write the formula. • From 16 take away 2 times a number n to give the answer c. c =16 - 2n Write the formula. • From 21 take away 3 times a number z to give the final answer e. e = 21- 3z Write the formula. • From 16 take away a number n then divide by 3 to get the final answer p. 16 - n p= 3 Write the formula. • Multiply a number d by a half then add 6 to give the number e. 1 e= d +6 2 Write the formula. • Subtract 6 from a number n and then divide by 2 to give the number j. n-6 j= 2