1. 2/26 Honors Algebra Warm-up
Which of the following formulas are linear? Which are polynomials?
(Red is input and Blue is the output)
Area of a square = side2
Distance = rate (time)
Height = -16(time)2 + velocity(time) + initial height
Speed = distance/ time
Volume of a cube = side3
Final amount = initial amount(1 + rate)time

2. number, variable, or product of numbers and variables Examples:
Monomial:
number, variable, or product of numbers and variables
Examples:
Constant:
monomials without a variable
Examples:
Lesson 1 MI/Vocab

3. Identify Monomials
Determine whether each expression is a monomial. Explain your reasoning.
Lesson 1 Ex1

4. 53(54) =
(53)4=
Key Concept 7-1a

5. = –36(r4+7) Product of Powers
A. Simplify (3r4)(–12r7).
(3r4)(–12r7) = (3)(–12)(r4)(r7) Group the coefficients and the variables.
= –36(r4+7) Product of Powers
Answer: = –36r11 Simplify.
Lesson 1 Ex2

6. Power of a Power Simplify [(23)3]2. = (23)3●2 Power of a Power
Answer: = 218 Simplify.
Lesson 1 Ex3

7. Simplify 3xy2(–2x2y3). Simplify [(42)2]3. A. 6xy5 A. 47 B. –6x2y6
C. 1x3y5
D. –6x3y5
A. 47
B. 48
C. 412
D. 410
Lesson 1 CYP2

8. (53x2)4=
(7a2b)2=
Key Concept 7-1c

9. GEOMETRY Find the volume of a cube with side length (3x2y)2.
Power of a Product
GEOMETRY Find the volume of a cube with side length (3x2y)2.
Volume = s3 Formula for volume of a cube
= [(3x2y)2]3 Replace s with (3x2y)2.
= (3x2y)6 Product of Powers
= 36(x2)6(y)6 Power of a Product
Answer: = 729x12y6 Simplify.
Lesson 1 Ex4

10. Concept Summary 7-1d

11. Simplify [(-2g3h4)2]2 + (2gh5)4.
Simplify Expressions
Simplify [(-2g3h4)2]2 + (2gh5)4.
= (-2g3h4)4 + (2gh5)4 Power of a Power
= (-2)4(g3)4(h4)4 + (2)4g4(h5)4 Power of a Product
Answer: 16g12h16+ 16g4h20 Power of a Power
Lesson 1 Ex5