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Chapter 10Lesson 10-5

1. A2. B3. C4. D

(over Lesson 10-4)

Which equation could represent the graph shown here?

A.

B.

C. y = 2x3 – 2

D. y = x3 – 2

1. A2. B3. C4. D

Which of the following equations represents a nonlinear function?

(over Lesson 10-1)

A. y = 3x + 5

B.

C.

D. 2x2 + 3y = 5

1. A2. B3. C4. D

(over Lesson 10-4)

A. B.

C. D.

• Multiply monomials.

• monomial

Standard 7NS2.3 Multiply, divide, and simplify rational numbers by using exponent rules.

Standard 7AF2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

Standard 7AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.

Here’s your 1st math challenge of the day:

52 5 = 53 32 34 = 36

12 14 15 18 = 119

32 33 35 36 = 316

27 2

7

3

= 27

435

2

35

4

= 35

6

So let’s analyze what’s happening.52 51 = 52 + 1 = 52

12 14 15 18 =

11912 + 4 + 5 + 8 =

35

2

35

4

= 35

635

2 + 4

=

12 14 15 18 =

11912 + 4 + 5 + 8 =

When you multiply monomials that have the

same base:

You keep the base andadd the exponents.

Here’s your 2nd math challenge of the day:

22 3 = 63 32 44 = 126

12 24 35 48 = 2419

32 53 75 86 = 84016

27 3

7

3

= 67

415

2

23

4

= 215

6

So let’s analyze what’s happening.22 3 = 62 + 1 = 63

15

2

23

4

= 215

6215

2 + 4

=

When you multiply monomials that have a

different base:

You multiply the bases andadd the exponents.

2419242 + 4 + 5 + 8 = 12 24 35 48 =

2419242 + 4 + 5 + 8 = 12 24 35 48 =

Remember when we learned how to do these:

3x -5y + x + 3y + 7 - 4y - 15

4x

We simply combine like terms.

-6y -8

Remember this andapply it to your 3rd challenge

of thislesson!

Here’s your 3rd math challenge of the day:

2x2 3x = 6x3 3x-2 4x-4 = 12-6

3y-5 4y = 12y-4 x-6 5x9 = 5x3

2a2b4 3a3 = 6a5b4

4x5y-3 5x-2y-6 = 20x3y-9

So let’s analyze what’s happening.4x5y-3 5x-2y-6 =

20 x3 y-9

4 5

Multiply the bases 1st. Add the exponents for the like terms.

x5 + -2 y-3 -6 =

Multiply Powers

Find 76 ● 72. Express using exponents.

The common base is 7.

Add the exponents.

Check

Multiply Powers

Find 7x2(11x4). Express using exponents.

Commutative and Associative Properties

The common base is x.

Add the exponents.

Multiply Negative Powers

Find 4–8 ● 43. Express using positive exponents.

4–8 ● 43 = 4–8 + 3 The common base is 4.

= 4–5 or Add the

exponents.

A. AB. BC. CD. D

A. 21

B. 25

C. 29

D. 220

Find 25 ● 24. Express using exponents.

1. A2. B3. C4. D

A. 3x7

B. –15x3

C. –15x5

D. –15x7

Find 3x2(–5x5). Express using exponents.

A. AB. BC. CD. D

Find 87 • 8–4. Express using exponents.

A.

B.

C. 83

D. 811