Simplify 1 5 3x 5 2 37 45

Simplify 1) -5 + 3(x + 5) 2) 3[7 - 4(5 - 2)]

Solve the equation 1) 6 x – 3 = 63 2) 8 y – 3 = 11 y + 9

Simplify •

Solve: page 58, Ex 3 The toll to a bridge cost $7. Commuters who use the bridge frequently have the option of purchasing a monthly discount pass for $30. With the discount pass, the toll is reduced to $4. For how many bridge crossings per month will the total monthly cost without the discount pass be the same as the total monthly cost with the discount pass?

Solve the formula for the specific variable. • Solve for P: I = Prt • Solve for m:

Chapter 1 Section 6 Properties of Integral Exponents Page 70

Simplify •

Using definition of exponent •

Product Rule •

Example •

Simplify 1) 2)

Division of two exponential expressions •

Continue •

Quotient Rule •

Example •

Simplify 3) 4)

Zero as an Exponent •

Zero-Exponent Rule •

Example •

Simplify 5) 6)

Negative Integers as Exponents •

Notice •

Negative-Exponent Rule •

Example •

Simplify 7) 8) 9) 10)

Using Negative Exponents • Write each expression with positive exponents only, then simplify

Simplify •

Exponential expression is raised to a power •

Power Rule •

Example •

Simplify 11) 12) 13) 14)

Quotients to Powers •

Example •

Simplify 15) 16)

Simplifying Exponential Expressions Simplified when • No parentheses • No powers are raised to powers • Each base occurs only once • No negative or zero exponents Check page 77 middle of page

18) 19) 20)