Writing and Solving One-Step Equations

Writing and Solving One Step Equations

​Standard: MGSE6.EE7

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px=q for cases in which p, q, and x are all nonnegative rational numbers.

​Essential Questions

1. How is an equation like a balance?

2. How can the idea of a balance help me solve an equation?

3. What does an equal sign mean mathematically?

​Learning Targets

I can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

​Essential Vocabulary

Addition is the process or skill of calculating the total of two or more numbers or amounts. Words associated with addition are sum, altogether, all, in all, together, total, total number, add, increase, increased by, and more than.

Subtraction is the process or skill of taking one number or amount away from another. Words associated with subtraction are minus, take away, fewer than, less than, subtract, decreased by.

​Essential Vocabulary

Multiplication is the process of combining matrices, vectors, or other quantities under specific rules to obtain their product. Words associated with the word multiplication are product, multiply, multiplied by, times.

Division - process where you separate numbers/items equally. Words associated with division are divided by, half, and quotient.

​Essential Vocabulary

The word equals means the same as, equivalent, or congruent to.

An Equal Sign is a symbol that shows two quantities are equal.

An Equation is a mathematical statement that says that two quantities are equal to each other.

Inverse Operation An inverse operation is the operation that undoes or reverses the action by the previous operation.

Draw

Draw a picture showing how you feel today.

Poll

What do you know about 1-Step Equations

• Nothing

• A Little

• A Lot

• I'm a Master

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Equation

• a mathematical sentence stating two expressiosn are equivalent

• HAS an equal sign

• Example: 8r + 5 = 3

• Non Example: 8r + 5

Multiple Choice

Which of the following has an equal sign?

• Equation

• Expression

Open Ended

How is an equation like a balance?

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Audio Response

In a one step equations, how do you check to see if your answer is correct?

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One-step equations review (article) | Khan Academy

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Open Ended

How do you solve a one step equation using subtraction?

One-step multiplication & division equations (article) | Khan Academy

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Dropdown

What is the inverse operation of multiplication?​

Select answer

Writing Equations

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The words "per" or "for each" suggest multiplication

• $5 per hour can be written as 5h

• 9 feet per second can be written as 9s

• 2 pages per minute can be written as 2m

• 60 miles per hour can be written as 60h

An one step equation consists of one operation, a variable, and an equals sign.

Write the equation for the following situation.

Mary makes $15 per hour and her check came to a total of $52.50. How many hours did she work?

• Equation: 15h = 52.50

• h= 3.5

Brian had x amount of problems correct, He got 7 more correct to give him a total of 30 correct. How many did he have correct to begin with?

• x + 7 = 30

• x = 21

Draw

Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. Write an equation that shows how many tickets he still needs to sell.

Multiple Choice

Tara caught three times as many fish this year than last year. She caught 63 fish by the end of the year. Which equation represents how many fish she caught last year?

• 3y = 63

• 3 + y = 63

• 63 - y = 3

• y/3 = 63

Multiple Choice

Which choice models this situation?

Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

• b - 4 = 44

• b + 4 = 33

• 4b = 44

• b/4 = 44

Multiple Choice

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

• h - 5 = 35

• h + 5 = 35

• 5h = 35

• h/5 = 35

Multiple Choice

Which choice models this situation?

Taylor has read 125 pages in a book. The book has a total of 262 pages. How many pages does she have left to read to finish the book?

• p - 125 = 262

• p + 125 = 262

• 125p = 262

• p/125 = 262

Open Ended

How does the idea of a balance help you solve equations?

Poll

How do you feel about this topic?

• I will never understand this

• I am getting there, with more practice

• I am in a good spot

• I am an expert