Algebra 2

Week #2A

Section 4

Autumn, soon.

Week #2A – Section 3Reflection Question

• Reflection Question for Today: Why are you usually asked to graph the answer to an inequality rather than the answer to an equation?

• Beacause the answer to an equation is only a point. The answer to an inequality is a range of numbers (or part of a number line).

•  

•  • • • Graph x = all real numbers • <───ι────>• 0

Week #2A Section 3Homework Answers

• Classwork: Why Did the Kangaroo See a Psychiatrist?• He wondered why he was feeling so jumpy.

• Homework:CAHSEE #1 A

CAHSEE #2 D1. o o 2. ● ı o 0 3 -2 0 13. - 1 ≤ x ≤ 2 4. x < -1 or x > 6

5. x > 5 6. x ≤ 4 ı o ı ●

0 5 0 47. 11b - 12 8. 8m + 349. - z2 10. - 4w + 6611. 3012. 23°

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18• x = 6

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33• 12x = 48• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33 3x – 5x + 9 = 1• 12x = 48 - 2x + 9 = 1• x = 4 - 2x = - 8• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33 3x – 5x + 9 = 1• 12x = 48 - 2x + 9 = 1• x = 4 - 2x = - 8• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1• 11 + 7 = 18

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33 3x – 5x + 9 = 1• 12x = 48 - 2x + 9 = 1• x = 4 - 2x = - 8• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1• 11 + 7 = 18 8 + 3 – 1 = 10

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 - 4

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33 3x – 5x + 9 = 1• 12x = 48 - 2x + 9 = 1• x = 4 - 2x = - 8• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1• 11 + 7 = 18 8 + 3 – 1 = 10

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 – 4 • 40 ÷ 4 = 10

Week #2A – Section 4

GOAL: To be able to write algebraic expressions from word expressions.

CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value.

• WARMUP QUESTIONS

• 1. 3x + 7 = 25 2. 5x – 9 = 11• 3x = 18 5x = 20• x = 6 x = 4

• 3. 3(4x – 5) = 33 4. 3x – (5x – 9)= 1• 12x – 15 = 33 3x – 5x + 9 = 1• 12x = 48 - 2x + 9 = 1• x = 4 - 2x = - 8• x = 4

• Simplify, using PEMDAS• 5. 11 + 35 ÷ 5 6. 8 + 6 ÷ 2 – 1• 11 + 7 = 18 8 + 3 – 1 = 10

• 7. 8 x 5 ÷ 4 8. 2 + 5 x 3 – 4 • 40 ÷ 4 = 10 2 + 15 – 4 = 13

Same symbols in any language.

Week #2A Section #4 Notes Algebraic ExpressionsVOCABULARY

Algebraic expression - a variable or any combination of variables and numbers

 

Week #2A Section #4 Notes Algebraic ExpressionsEXAMPLES

• Change these expressions into mathematical symbols.• Twice a number plus four ________________•  • Half the sum of a number and four ________________•  • The product of a number and five less than a number _______________•  

•

Week #2A Section #4 Notes Algebraic Expressions EXAMPLES

• Change these expressions into mathematical symbols.• Twice a number plus four 2n + 4•  • Half the sum of a number and four ________________•  • The product of a number and five less than a number _______________•  

•

Week #2A Section #4 Notes Algebraic Expressions EXAMPLES

• Change these expressions into mathematical symbols.• Twice a number plus four 2n + 4•  • Half the sum of a number and four n + 4 or ½(n + 4)•   2• The product of a number and five less than a number _______________•  

•

Week #2A Section #4 Notes Algebraic Expressions EXAMPLES

• Change these expressions into mathematical symbols.• Twice a number plus four 2n + 4•  • Half the sum of a number and four n + 4 or ½(n + 4)•   2• The product of a number and five less than a number n(n – 5) = n2

– 5n•  

•

Week #2A Section #4 Notes Algebraic ExpressionsREAL LIFE

1.You’re playing cards with your brother and sister. Your final score is twice as much as your brother’s, but his is only a third of your sister’s. If you scored 60 points, how many points did you sister score?

Guess who’s winning.

Week #2A Section #4 Notes Algebraic ExpressionsREAL LIFE

1.You’re playing cards with your brother and sister. Your final score is twice as much as your brother’s, but his is only a third of your sister’s. If you scored 60 points, how many points did you sister score?

You – 60 points

Brother -

Week #2A Section #4 Notes Algebraic ExpressionsREAL LIFE

1.You’re playing cards with your brother and sister. Your final score is twice as much as your brother’s, but his is only a third of your sister’s. If you scored 60 points, how many points did you sister score?

You – 60 points

Brother – 30 points

Sister -

Week #2A Section #4 Notes Algebraic ExpressionsREAL LIFE

1.You’re playing cards with your brother and sister. Your final score is twice as much as your brother’s, but his is only a third of your sister’s. If you scored 60 points, how many points did you sister score?

You – 60 points

Brother – 30 points

Sister - 90 points WINNER!

Classwork Instructions

Note: you will not be cutting this out!

1. Number all problems.

2. Mark equations with an E and expressions with an X. Count how many there are of each.

3. On the back of the notes, evaluate all expressions using the numbers shown there for each variable.

4. On the back of the problem sheet, solve all of the equations.