IM 1 SS23 Day 1: Algebra Basics (6/20/2023)

Last updated 3 months ago

59 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.

Akwankyerɛ

This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.

Main Idea: Evaluating Algebraic Expressions

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Main Idea: Parts of an Expression

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Terms with the same exponents or combination of variables and exponents are considered like terms. When combined, be sure to NOT change their exponents!

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Main Idea: Distributive Property

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To simplify an expression means to make sure there are no parentheses and no like terms. In order to do this, distribute first (if needed),then combine like terms.

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Main Idea: Translating Math

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Translating Equations

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IM 1 SS23 Day 1: Algebra Basics (6/20/2023)

Last updated 3 months ago

59 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.

Akwankyerɛ

This assignment represents one 4 hour session. After completing it, you will take a quiz this covering material.

Be sure to show your work to recieve full credit for every problem. Remember you may use this assignment as notes for the quiz.

Main Idea: Evaluating Algebraic Expressions

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Directions: Evaluate each expression using the variable replacements.

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Directions: Evaluate each expression using the variable replacements.

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Directions: Evaluate each expression using the variable replacements.

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Directions: Evaluate each expression using the variable replacements.

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Directions: Evaluate each expression using the variable replacements.

Main Idea: Parts of an Expression

Watch the video and complete the notes of this section.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

Terms with the same exponents or combination of variables and exponents are considered like terms. When combined, be sure to NOT change their exponents!

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Directions: Simplify this expression.

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Geometric Applications
Give the perimeter of the figure as a simplified expression.

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Geometric Applications
Give the perimeter of the figure as a simplified expression.

Main Idea: Distributive Property

Watch the video and complete the notes of this section.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

To simplify an expression means to make sure there are no parentheses and no like terms. In order to do this, distribute first (if needed),then combine like terms.

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Put the step needed to simplify this expression in the correct order.

Distribute the 8 to remove the parenthesis
Combine like terms
10x - 24
16x - 24 - 6x

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Use the distributive property and then simplify this expression.

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Use the distributive property and simplify this expression.

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Use the distributive property and simplify this expression.

Main Idea: Translating Math

Watch the video and complete the notes of this section.

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Translate each expression or equation (use n to represent the variable):
"the product of a number and 3”

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Translate each expression or equation (use n to represent the variable):
"the difference between a number and 10”

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Translate each expression or equation (use n to represent the variable):
"the quotient of a number and -5”

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Translate each expression or equation (use n to represent the variable):
"four subtracted from a number”

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Translate each expression or equation (use n to represent the variable):
"the sum of twice a number and 7”

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Translate each expression or equation (use n to represent the variable):
"the product of a number and 10, increased by 1”

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Translate each expression or equation (use n to represent the variable):
“twice a number divided by 5”

Translating Equations

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Translate each expression or equation (use n to represent the variable):
“the sum of twice a number and 10 is 36”

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Translate each expression or equation (use n to represent the variable):
“three times the difference of a number and 7 is 18”

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Translate each expression or equation (use n to represent the variable):
“four times a number divided by 8 is 3”

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Translate each expression or equation (use n to represent the variable):
“five times the sum of a number and 6 is 48”

Inequalities

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Translate each inequality or equation (use n to represent the variable):
“a number is less than -10”

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Translate each inequality or equation (use n to represent the variable):
“a number is less than or equal to 8”

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Translate each inequality or equation (use n to represent the variable):
“a number is greater than or equal to -4”

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Translate each inequality or equation (use n to represent the variable):
“a number is at most 45”

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Translate each inequality or equation (use n to represent the variable):
“a speed limit of 55 mph”

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Translate each inequality or equation (use n to represent the variable):
“a number is at least 16”

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Translate each inequality or equation (use n to represent the variable):
“a number is no less than 10”

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Translate each inequality or equation (use n to represent the variable):
“a number is no more than 26”

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Translate each inequality or equation (use n to represent the variable):
“a maximum number of 25”

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IM 1 SS23 Day 1: Algebra Basics (6/20/2023)

Main Idea: Evaluating Algebraic Expressions

Main Idea: Parts of an Expression

Terms with the same exponents or combination of variables and exponents are considered like terms. When combined, be sure to NOT change their exponents!

Main Idea: Distributive Property

To simplify an expression means to make sure there are no parentheses and no like terms. In order to do this, distribute first (if needed),then combine like terms.

Main Idea: Translating Math

Translating Equations

IM 1 SS23 Day 1: Algebra Basics (6/20/2023)

Main Idea: Evaluating Algebraic Expressions

Directions: Evaluate each expression using the variable replacements.

Directions: Evaluate each expression using the variable replacements.

Directions: Evaluate each expression using the variable replacements.

Directions: Evaluate each expression using the variable replacements.

Directions: Evaluate each expression using the variable replacements.

Main Idea: Parts of an Expression

Watch the video and complete the notes of this section.

Watch the video and complete the notes of this section.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Terms with the same exponents or combination of variables and exponents are considered like terms. When combined, be sure to NOT change their exponents!

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Directions: Simplify this expression.

Geometric ApplicationsGive the perimeter of the figure as a simplified expression.

Geometric Applications

Geometric ApplicationsGive the perimeter of the figure as a simplified expression.

Geometric Applications

Main Idea: Distributive Property

Watch the video and complete the notes of this section.

Watch the video and complete the notes of this section.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

To simplify an expression means to make sure there are no parentheses and no like terms. In order to do this, distribute first (if needed),then combine like terms.

Put the step needed to simplify this expression in the correct order.

Use the distributive property and then simplify this expression.

Use the distributive property and simplify this expression.

Use the distributive property and simplify this expression.

Main Idea: Translating Math

Watch the video and complete the notes of this section.

Watch the video and complete the notes of this section.

Translate each expression or equation (use n to represent the variable):"the product of a number and 3”

"the product of a number and 3”

Translate each expression or equation (use n to represent the variable):"the difference between a number and 10”

"the difference between a number and 10”

Translate each expression or equation (use n to represent the variable):"the quotient of a number and -5”

"the quotient of a number and -5”

Translate each expression or equation (use n to represent the variable):"four subtracted from a number”

"four subtracted from a number”

Translate each expression or equation (use n to represent the variable):"the sum of twice a number and 7”

"the sum of twice a number and 7”

Translate each expression or equation (use n to represent the variable):"the product of a number and 10, increased by 1”

"the product of a number and 10, increased by 1”

Translate each expression or equation (use n to represent the variable):“twice a number divided by 5”

“twice a number divided by 5”

Translating Equations

Translate each expression or equation (use n to represent the variable):“the sum of twice a number and 10 is 36”

“the sum of twice a number and 10 is 36”

Translate each expression or equation (use n to represent the variable):“three times the difference of a number and 7 is 18”

“three times the difference of a number and 7 is 18”

Translate each expression or equation (use n to represent the variable):“four times a number divided by 8 is 3”

“four times a number divided by 8 is 3”

Translate each expression or equation (use n to represent the variable):“five times the sum of a number and 6 is 48”

Geometric Applications
Give the perimeter of the figure as a simplified expression.

Geometric Applications
Give the perimeter of the figure as a simplified expression.

Translate each expression or equation (use n to represent the variable):
"the product of a number and 3”

Translate each expression or equation (use n to represent the variable):
"the difference between a number and 10”

Translate each expression or equation (use n to represent the variable):
"the quotient of a number and -5”

Translate each expression or equation (use n to represent the variable):
"four subtracted from a number”

Translate each expression or equation (use n to represent the variable):
"the sum of twice a number and 7”

Translate each expression or equation (use n to represent the variable):
"the product of a number and 10, increased by 1”

Translate each expression or equation (use n to represent the variable):
“twice a number divided by 5”

Translate each expression or equation (use n to represent the variable):
“the sum of twice a number and 10 is 36”

Translate each expression or equation (use n to represent the variable):
“three times the difference of a number and 7 is 18”

Translate each expression or equation (use n to represent the variable):
“four times a number divided by 8 is 3”

Translate each expression or equation (use n to represent the variable):
“five times the sum of a number and 6 is 48”

Translate each inequality or equation (use n to represent the variable):
“a number is less than -10”

Translate each inequality or equation (use n to represent the variable):
“a number is less than or equal to 8”

Translate each inequality or equation (use n to represent the variable):
“a number is greater than or equal to -4”

Translate each inequality or equation (use n to represent the variable):
“a number is at most 45”

Translate each inequality or equation (use n to represent the variable):
“a speed limit of 55 mph”

Translate each inequality or equation (use n to represent the variable):
“a number is at least 16”

Translate each inequality or equation (use n to represent the variable):
“a number is no less than 10”

Translate each inequality or equation (use n to represent the variable):
“a number is no more than 26”

Translate each inequality or equation (use n to represent the variable):
“a maximum number of 25”

Translate each inequality or equation (use n to represent the variable):
“a minimum number of 5”

Geometric Applications
Give the perimeter of the figure as a simplified expression.

Geometric Applications
Give the perimeter of the figure as a simplified expression.

Translate each expression or equation (use n to represent the variable):
"the product of a number and 3”

Translate each expression or equation (use n to represent the variable):
"the difference between a number and 10”

Translate each expression or equation (use n to represent the variable):
"the quotient of a number and -5”