Copy of 1.4 Solving Equations Basics (Due 9-1-23 SOC) (7/21/2024)

Last updated 3 months ago

42 questions

Note from the author:

Instructions

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Library

Copy of 1.4 Solving Equations Basics (Due 9-1-23 SOC) (7/21/2024)

Last updated 3 months ago

42 questions

Note from the author:

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Instructions

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Day 1 8/30/23

Opposite Operations and Solving Equations

Required

5

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1

A.REI.3

Required

5

Vocabulary: In your own words, what is an inverse operation?

A.CED.1

A.REI.3

Required

8

Draggable item		Corresponding Item

Required

2

Required

5

Solve this equation.

Required

2

Required

5

Solve this equation

Required

2

Required

5

Solve this equation.

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6

Required

6

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Required

5

Solve this equation

Day 2 8/31/23

Video Notes: Solving 2-step equations

Required

4

Required

10

Solve this equation.

Required

2

Required

2

Required

10

Solve this equation.

Required

10

Solve this equation.

17 + 3k = 26

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10

Solve this equation.

4b - 5 = -33

Required

10

Solve this equation.

8 + 9c = - 10

Required

10

Solve this equation.

12y + 25 = - 35

Required

10

Solve this equation.

15h - 9 = - 54

Required

10

Solve this equation.

8 - 10x = - 32

Required

10

Solve this equation.

Required

10

Solve this equation.

Required

10

Solve this equation.

The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

Required

10

Solve this equation.

Required

10

Solve this equation.

Required

10

Solve this equation.

Spiral Review

Required

5

Translate this expression.

“eighteen less than a number”

Required

5

Write each expression in words

-4x+13

Required

8

Required

10

Directions: Give the perimeter of each figure as a simplified expression.

Required

10

Evaluate each expression using the variable replacements.

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Day 1 8/30/23

Opposite Operations and Solving Equations

Required

5

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1

A.REI.3

Required

5

Vocabulary: In your own words, what is an inverse operation?

A.CED.1

A.REI.3

Match the operation with its inverse.

Draggable item		Corresponding Item
inverse of multiplication		subtraction
inverse of addition		addition
inverse of division		division
inverse of subtraction		multiplication

What is the first step to solve this equation?

add 8 to both sides of the equation

subtract 14 to both sides of the equation

add 14 to both sides of the equation

subtract 8 to both sides of the equation

Solve this equation.

What is the first step to solve this equation?

divide both sides by 15

multiply both sides by 15

divide both sides by 10

multiply both sides by 10

Solve this equation

What is the first step to solve this equation?

divide both sides by 3

multiply both sides by 3

multiply both sides by 19

divide both sides by 19

Solve this equation.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

subtraction
addition
division
parentheses ( )
exponents
multiplication

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

addition and subtraction (outside parentheses)
multiplication and division (outside parentheses)
parentheses ( )

Solve this equation

Day 2 8/31/23

Video Notes: Solving 2-step equations

Put the steps to solving this equation in the right order.

divide both sides of the equation by 3
the result is x=7
Before we start solving, we identify the variable a, so we can solve for it the variable
add 7 to both sides of the equation

Solve this equation.

What is the first step to solving this equation?

dividing both sides of the equation by 4

subtraction both sides of the equation by 3

subtracting both sides of the equation by 11

multiplying both sides of the equation by 4

What is the second step to solving this equation?

multiplying both sides of the equation by 4

dividing both sides of the equation by 4

subtracting both sides of the equation by 11

subtraction both sides of the equation by 3

Solve this equation.

Solve this equation.

17 + 3k = 26

Solve this equation.

4b - 5 = -33

Solve this equation.

8 + 9c = - 10

Solve this equation.

12y + 25 = - 35

Solve this equation.

15h - 9 = - 54

Solve this equation.

8 - 10x = - 32

Solve this equation.

The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

Solve this equation.

Spiral Review

Translate this expression.

“eighteen less than a number”

Write each expression in words

-4x+13

Which words or phrases have the same meaning as multiplication?

Directions: Give the perimeter of each figure as a simplified expression.

Evaluate each expression using the variable replacements.

Match the operation with its inverse.

inverse of multiplication

subtraction

inverse of addition

addition

inverse of division

division

inverse of subtraction

multiplication

What is the first step to solve this equation?

add 8 to both sides of the equation

subtract 14 to both sides of the equation

add 14 to both sides of the equation

subtract 8 to both sides of the equation

What is the first step to solve this equation?

divide both sides by 15

multiply both sides by 15

divide both sides by 10

multiply both sides by 10

What is the first step to solve this equation?

divide both sides by 3

multiply both sides by 3

multiply both sides by 19

divide both sides by 19

Put these operations in the order by which you perform them to simplify an expression. (first to last)

subtraction

addition

division

parentheses ( ) 

exponents

multiplication

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order. 

Put these operations in the order by which you perform them to solve an equation. (first to last)

addition and subtraction (outside parentheses)

multiplication and division (outside parentheses)

parentheses ( )

Put the steps to solving this equation in the right order.

divide both sides of the equation by 3

the result is x=7

Before we start  solving, we identify the variable a, so we can solve for it the variable

add 7 to both sides of the equation

What is the first step to solving this equation?

dividing both sides of the equation by 4

subtraction both sides of the equation by 3

subtracting both sides of the equation by 11

multiplying both sides of the equation by 4

What is the second step to solving this equation?

multiplying both sides of the equation by 4

dividing both sides of the equation by 4

subtracting both sides of the equation by 11

subtraction both sides of the equation by 3

Which words or phrases have the same meaning as multiplication? 

divide

product

minus

together

plus

___ groups of ___

more than

total

times

less than

of

Copy of 1.4 Solving Equations Basics (Due 9-1-23 SOC) (7/21/2024)

Copy of 1.4 Solving Equations Basics (Due 9-1-23 SOC) (7/21/2024)

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Day 1 8/30/23

Opposite Operations and Solving Equations

Vocabulary: In your own words, what does it mean to isolate a variable?

Vocabulary: In your own words, what is an inverse operation?

Solve this equation.

Solve this equation

Solve this equation.

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Day 2 8/31/23

Video Notes: Solving 2-step equations

Solve this equation.

Solve this equation.

Solve this equation.17 + 3k = 26

Solve this equation.4b - 5 = -33

Solve this equation.8 + 9c = - 10

Solve this equation.12y + 25 = - 35

Solve this equation.15h - 9 = - 54

Solve this equation.8 - 10x = - 32

Solve this equation.

Solve this equation.

Solve this equation.

The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

Solve this equation.

Solve this equation.

Solve this equation.

Spiral Review

Translate this expression.“eighteen less than a number”

Write each expression in words-4x+13

Directions: Give the perimeter of each figure as a simplified expression.

Evaluate each expression using the variable replacements.

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations using opposite operations?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Day 1 8/30/23

Opposite Operations and Solving Equations

Vocabulary: In your own words, what does it mean to isolate a variable?

Vocabulary: In your own words, what is an inverse operation?

Match the operation with its inverse.

What is the first step to solve this equation?

Solve this equation.

What is the first step to solve this equation?

Solve this equation

What is the first step to solve this equation?

Solve this equation.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order. Put these operations in the order by which you perform them to solve an equation. (first to last)

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Solve this equation

Day 2 8/31/23

Video Notes: Solving 2-step equations

Put the steps to solving this equation in the right order.

Solve this equation.

What is the first step to solving this equation?

What is the second step to solving this equation?

Solve this equation.

17 + 3k = 26

Solve this equation.

4b - 5 = -33

Solve this equation.

8 + 9c = - 10

Solve this equation.

12y + 25 = - 35

Solve this equation.

15h - 9 = - 54

Solve this equation.

8 - 10x = - 32

Translate this expression.

“eighteen less than a number”

Write each expression in words

-4x+13

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

Solve this equation.

17 + 3k = 26

Solve this equation.

4b - 5 = -33

Solve this equation.

8 + 9c = - 10

Solve this equation.

12y + 25 = - 35

Solve this equation.

15h - 9 = - 54

Solve this equation.

8 - 10x = - 32

Translate this expression.

“eighteen less than a number”

Write each expression in words

-4x+13