Unit 3: Solving Equations

Minds On

3𝑥−24

−𝑥+63

=5

Unit 3: Solving Equations

Solving Polynomial Equations

Success Criteria for Solving Polynomial Equations:

Isolate the variable Collect like terms Follow SAMDEB to undo operations Do the inverse operation (do the opposite) Keep the equation balanced (whatever you do to one

side you must also do to the other) Use the distributive property The numerator is always in brackets Only ONE equal sign per line Perform all 4 operations with integers correctly Get like terms on the same side of the equal sign and

remember to change signs when moving from one side of the equal sign to the other

Perform a check

Unit 3: Solving Equations

Introduction to Word Problems

Learning Goals:

I can create equations from word problems

I can solve equations that represent real life problems

Success Criteria

• Read the problem. Underline what it is asking you to find out

• Assign a variable (x) to the quantity you are trying to find out. (let X equal…..)

• Write an equation to represent the relationship between the quantities given in the problem

• Answer the question• Check the answer

Unit 3: Solving Equations

Introduction to Word Problems

Symbol Commonly Used Words

+ Add, sum, plus, increase, more- Subtract, difference, minus, decreases,

less

X Multiply, product, of, timesDivision, quotient, over, out of, divide,

split into parts, ratios

= Is, equals, results intherefore

Unit 3: Solving Equations

Introduction to Word Problems

Example 1When 4 is added to five times a number, the result is 79. Find the number

Success Criteria

• Read the problem. Underline what it is asking you to find out

• Assign a variable (x) to the quantity you are trying to find out. (let X equal…..)

• Write an equation to represent the relationship between the quantities given in the problem

• Answer the question• Check the answer.

Unit 3: Solving Equations

Introduction to Word Problems

Example 2The sum of a number and 9 is multiplied by -2 and the answer is -8. Find the number

Success Criteria

• Read the problem. Underline what it is asking you to find out

• Assign a variable (x) to the quantity you are trying to find out. (let X equal…..)

• Write an equation to represent the relationship between the quantities given in the problem

• Answer the question• Check the answer.

Unit 3: Solving Equations

Introduction to Word Problems

Example 3There are 3 sisters, Dina, Michelle and Juliette. Dina is half as old as Michelle and 3 years younger than Juliette. Write an expression to describe this situation.

Success Criteria

• Read the problem. Underline what it is asking you to find out

• Assign a variable (x) to the quantity you are trying to find out. (let X equal…..)

• Write an equation to represent the relationship between the quantities given in the problem

• Answer the question• Check the answer.

Unit 3: Solving Equations

Introduction to Word Problems

Practice

Page 281 Q#7 Complete Handout

Unit 3: Solving Equations

Introduction to Word Problems