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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 21 Page 81

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

1

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left- and right-hand sides of the equation.

2(4w+w^2)-6=2w(w-4)+10

Distribute 2

8w+2w^2-6=2w(w-4)+10

Distribute 2w

8w+2w^2-6=2w^2-8w+10

Now we can continue to solve using the Properties of Equality.

8w+2w^2-6=2w^2-8w+10

LHS-2w^2=RHS-2w^2

8w-6=- 8w+10

LHS+8w=RHS+8w

16w-6=10

LHS+6=RHS+6

16w=16

.LHS /16.=.RHS /16.

w=1

The solution to the equation is 1.

Subchapter links

1 Adding and Subtracting Polynomials p.81

2 Multiplying a Polynomial by a Monomial p.81

3 Multiplying Polynomials p.81

4 Special Products p.82

5 Using the Distributive Property p.82

6 Solving x^2+bx+c=0 p.83

7 Solving ax^2+bx+c=0 p.83

8 Differences of Squares p.84

9 Perfect Squares p.84

10 Roots and Zeros p.85