mth 60 day 6 2.2 translating to expressions 2.3a solving linear equations with adding and...

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Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

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Page 1: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Mth 60 Day 6

2.2 Translating to expressions2.3a Solving Linear Equations with

Adding and Subtraction

Page 2: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Graphing Project #2

• Ordered Pair: (x, y)• Rectangle, Right Triangle, Parallelogram

Page 3: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Translating English Phrases and Algebraic Expressions

2.2

Page 4: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Hawkes Slide 4

Page 5: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

“a number” or “the number”

…implies the use of a variable (an unknown quantity).

Page 6: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Write (verb) the algebraic expression described by the English phrases.

• Twice a number increased by 8.

• The product of 2 with the sum of x and 1.

2 1x

2 8n

Page 7: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Subtraction and Division***NOT Cummutative***

Page 8: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

• 13 less than the product of 4 with the sum of a number and 1.

• The quotient of twice a number and 10.

4 1 13x

2

10

x

Page 9: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Summary 2.2

• Slide 4 CHART!!!• We are heading into more challenging

word/applied problems so invest NOW in your learning!!

• Practice makes permanent…

Page 10: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Solving Linear Equations using Addition and Subtraction

2.3a

Page 11: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Linear Equation

• A linear equation has a degree of 1.• Equation versus Expression– Equation has an equal sign and expression does

not.– We SOLVE equations. We simplify/evaluate

expressions.

EX of equations: 5

10 50

x4 28x

Page 12: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Solution versus Satisfies

• Respect the equal sign =• What value(s) give a TRUE statement/

equation.

Page 13: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Solve the linear equation

• To prepare for more challenging equations it is important to show your process of solving in a systematic way.

• Work vertically and RESPECT the equal sign.EX:

Try it…

7 3y 36 20n

1.6 3.7y 1 3

20 5x

11 5y

Page 14: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Solve the linear equation.

3 2 6 14n n

1.6 3.7y

15 4x

18 1z

Page 15: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Summary 2.3a

• Carefully show your process.• Solving involves isolating the variable.

Page 16: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Coming up…

• Test #1 – Due date October 18 is FIRM – early OK but NO

late.– Photo ID required to take Test in Lab.– SMART Lab open 10/16 10/17 until 8PM

• Day 7 Reading Guide: 2.3b

Page 17: Mth 60 Day 6 2.2 Translating to expressions 2.3a Solving Linear Equations with Adding and Subtraction

Exit Ticket

1. Translate in algebra: 66 less than 4 times a number.

2. Solve:

3. Solve:

6 12z

7 6 13 22n n