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**Algebraic Expressions**

Level 4/5 Booster Lesson 6B Algebraic Expressions

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**evaluate equals symbol equation variable brackets simplify term**

Objectives: Understand that algebraic operations follow the same rules as arithmetic operations. Solve simple equations Transform information from words into algebraic expressions and equations. Vocabulary: evaluate equals symbol equation variable brackets simplify term expression

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**X + 7 = 22 T + 6 = 19 + R = 34 + W = 41 P - 14 = 27 G - 23 = 5 - H = 2**

W/S 6.1B X = 22 T = 19 + R = 34 + W = 41 P = 27 G = 5 - H = 2 L = 17 (X = 15) (T = 13) (R = 27) Solve the equations. (W = 22) (P = 41) (G = 28) (H = 12) (L = 7)

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W/S 6.2B Find the missing numbers: 1. A number x is multiplied by 6, and you get 54. X = 9 2. Add 7 to a number y, double the answer and you get 20. Y = 3 3. Think of a number T, multiply it by itself and the answer is 36 T = 6 4. Think of a number z, square it, add 12 and then you get 21. Z = 3 5. Think of a number P, and then subtract 7. The answer is 25. P = 32

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Expression in words: Expression in symbols: Add seven to a number. N + 7 Equation in symbols: Equation in words: N + 7 = 15 Add 7 to a number and you’ll get 15. When we give an expression in symbols it is called an algebraic expression.

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W/S 6.3B Problems: Make each of the expressions below into algebraic expressions. 1. A number X is multiplied by 3 and then added to 20. (X x usually written 3x + 20) 2. Take 6 away from T. ( T – 6 ) 3. Think of a number Y, double it, then subtract 7. ( Y x 2 – 7 usually written 2Y – 7 ) 4. Think of a number Z, square it then add 5. ( Z² + 5 ) 5. I think of a number ,G, add 2 and then multiply the answer by 3. ( G + 2 ) x 3 usually written 3 ( G + 2)

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W/S 6.4B Make each of the statements below into algebraic equations. 1. I think of a number, M, multiply it by 3, and add 7and the answer is 16. 3M + 7 = 16 M = 3 2. I think of a number, double it, take 7 away and the answer is 3. 2N – 7 = 3 N = 5 3. I think of a number, add 3 and then multiply by 4. The answer is 24. 4 ( N + 3 ) = 24 N = 3 4. I think of a number, square it, take away 3 and the answer is 13. N² - 3 = 13 N = 4 In each of the questions above can you solve the equation.

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**evaluate equals symbol equation variable brackets simplify term**

Objectives: Understand that algebraic operations follow the same rules as arithmetic operations. Solve simple equations Transform information from words into algebraic expressions and equations. Vocabulary: evaluate equals symbol equation variable brackets simplify term expression

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**Thank you for your attention**

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DIVIDING INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.

DIVIDING INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.

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