Algebra 2 Glencoe CCSS Edition page 15 problem 46

Question

Simplify the expression.

1/3 (5x + 8y) + 1/4 (6x - 2y)

Answer 1

Step:1

The expression is .

     (Distributive property: a(b + c) = ab + ac)

             (Multiply: )

        (Distributive property: )

                (Multiply: )

Step:2

                (Commutative property of addition: a + b = b + a)

             (Distributive property: ab + ac = a(b + c))

Find the least common denominator (LCD).

Multiples of 3: 3,6,9,12,15.....

Multiples of 4: 4,8,12,16,20,.....

The least common multiple of 3 and 4 is 12.

Rewrite each fraction with a common denominator of 12.

Step:3

             (Lcm is 12)

                     (Add: 20 + 18 = 38)

                          (Subtract: )

                               (Simplify)

Solution:

The simplified expression is .