# Chapter 7: Polynomials

Q 1.

Simplify each expression.

$\left({x}^{3}\right)\left(4{x}^{5}\right)$

Q1.

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Express the area of the triangle below as a monomial.

A$\mathbf{12}{\mathit{b}}^{\mathbf{5}}{\mathit{d}}^{\mathbf{7}}$

B$\mathbf{12}{\mathit{b}}^{\mathbf{6}}{\mathit{d}}^{\mathbf{10}}$

C$\mathbf{6}{\mathit{b}}^{\mathbf{6}}{\mathit{d}}^{\mathbf{10}}$

D$\mathbf{6}{\mathit{b}}^{\mathbf{5}}{\mathit{d}}^{\mathbf{7}}$

Q1.

Simplify each expression.

$\left({x}^{2}\right)\left(\mathbf{7}{x}^{8}\right)$

Q1.

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

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Q1.

Write each expression using exponents.

$\mathbf{4}\mathbf{\cdot}\mathbf{4}\mathbf{\cdot}\mathbf{4}\mathbf{\cdot}\mathbf{4}\mathbf{\cdot}\mathbf{4}$

Q1.

Choose a term from the Key Vocabulary list above that best describes the given expression.

${x}^{2}+1$

Q10.

ASTRONOMY Physicists estimate that the number of stars in the universe has an order of magnitude of ${\mathbf{10}}^{21}$. The number of stars in the Milky Way galaxy is around 100 billion. Using orders of magnitude, how many times as many stars are there in the universe as the Milky Way?

Q10.

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

At a family fun centre, the Wilson and Sanchez families each bought video game tokens and batting cage tokens as shown in the table.

Family | Wilson | Sanchez |

Number of Video Game Tokens | 25 | 30 |

Number of Batting Cage Tokens | 8 | 6 |

Total Cost | $\mathrm{\$}26.50$ | $\mathrm{\$}25.50$ |

What is the cost in dollars of a batting cage token at the family fun centre?

Q10.

Express each number in standard form.

$\mathbf{9}\mathbf{.}\mathbf{1}\times {\mathbf{10}}^{6}$

Q10.

Simplify the expression

$\left(5{u}^{4}v\right)\left(7{u}^{4}{v}^{3}\right)$