Algebra 1 8-1 Guided Practice: Adding and Subtracting Polynomials

Solve It! The costs of admission and parking for a museum and an aquarium are given. What is the total cost of m people in n cars visiting only the museum?

Solve It! What is the total cost of m people in n cars visiting only the aquarium?

Solve It! What is the total cost of m people in n cars visiting BOTH the museum and aquarium?

Take Note: Classify each expression appropriately.

2a^{2}-13
z
2.5xy^3
4x^-2
\frac{a}{3}
-4x^2
\sqrt{x}
18+z
3/a
18

Monomials
NOT Monomials

Problem 1 Got It?

Problem 2 Got It?

Take Note: Provide an example of a monomial.

Take Note: Provide an example of a monomial of degree 3.

Take Note: Define polynomial.

Take Note: Provide an example polynomial of degree 4.

Take Note: Categorize each polynomial on the left based on its polynomial name (based on degree).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

-2x^{4}+x^{2}
7x^2
21x+3
7
7x^{3}+4x^{2}-x

Constant (degree 0)
Linear (degree 1)
Quadratic (degree 2)
Cubic (degree 3)
Quartic (degree 4)

Take Note: Categorize each polynomial on the left based on its polynomial name (by its number of terms).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

7
7x^{3}+4x^{2}-x
21x+3
-2x^{4}+x^{2}
7x^2

Monomial (1 term)
Binomial (2 terms)
Trinomial (3 terms)

Problem 3 Got It? Write the expression in standard form.

Problem 3 Got It? What is the name of the polynomial from the previous item based on its degree and number of terms.

linear
quadratic
cubic
binom
trinomial

Polynomial name based on degree
Polynomial name based on number of terms

Solve It! The costs of admission and parking for a museum and an aquarium are given. What is the total cost of m people in n cars visiting only the museum?

Solve It! What is the total cost of m people in n cars visiting only the aquarium?

Solve It! What is the total cost of m people in n cars visiting BOTH the museum and aquarium?

Take Note: Classify each expression appropriately.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Identify the two like terms in the following expression.
2xy^{2}+4x+y-xy^{2}+1

Problem 2 Got It?

Take Note: Provide an example of a monomial.

Take Note: Provide an example of a monomial of degree 3.

Take Note: Define polynomial.

Take Note: Provide an example polynomial of degree 4.

Take Note: Categorize each polynomial on the left based on its polynomial name (based on degree).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Take Note: Categorize each polynomial on the left based on its polynomial name (by its number of terms).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Problem 3 Got It? Write the expression in standard form.

Problem 3 Got It? What is the name of the polynomial from the previous item based on its degree and number of terms.

Problem 3 Got It? Reasoning: How does writing a polynomial in standard form help you name the polynomial?

Problem 4 Got It?

Problem 5 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Algebra 1 8-1 Guided Practice: Adding and Subtracting Polynomials

Solve It! The costs of admission and parking for a museum and an aquarium are given. What is the total cost of m people in n cars visiting only the museum?

Solve It! What is the total cost of m people in n cars visiting only the aquarium?

Solve It! What is the total cost of m people in n cars visiting BOTH the museum and aquarium?

Take Note: Classify each expression appropriately.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Identify the two like terms in the following expression.2xy^{2}+4x+y-xy^{2}+1

Problem 2 Got It?

Take Note: Provide an example of a monomial.

Take Note: Provide an example of a monomial of degree 3.

Take Note: Define polynomial.

Take Note: Provide an example polynomial of degree 4.

Take Note: Categorize each polynomial on the left based on its polynomial name (based on degree).You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Take Note: Categorize each polynomial on the left based on its polynomial name (by its number of terms).You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Problem 3 Got It? Write the expression in standard form.

Problem 3 Got It? What is the name of the polynomial from the previous item based on its degree and number of terms.

Problem 3 Got It? Reasoning: How does writing a polynomial in standard form help you name the polynomial?

Problem 4 Got It?

Problem 5 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Identify the two like terms in the following expression.
2xy^{2}+4x+y-xy^{2}+1

Take Note: Categorize each polynomial on the left based on its polynomial name (based on degree).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

Take Note: Categorize each polynomial on the left based on its polynomial name (by its number of terms).
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.