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:

W/S 6.1B

X + 7 = 22

T + 6 = 19

7 + R = 34

19 + W = 41

P - 14 = 27

G - 23 = 5

14 - H = 2

24 - L = 17

Solve the equations.

(X = 15)

(T = 13)

(R = 27)

(W = 22)

(P = 41)

(G = 28)

(H = 12)

(L = 7)

1. A number x is multiplied by 6, and you get 54.

Find the missing numbers:

2. Add 7 to a number y, double the answer and you get 20.

3. Think of a number T, multiply it by itself and the answer is 36

4. Think of a number z, square it, add 12 and then you get 21.

5. Think of a number P, and then subtract 7. The answer is 25.

X = 9

Y = 3

T = 6

Z = 3

P = 32

W/S 6.2B

Expression in words:

Add seven to a number.

Expression in symbols:

N + 7

Equation in words:

Add 7 to a number and you’ll get 15.

Equation in symbols:

N + 7 = 15

When we give an expression in symbols it is called an algebraic expression.

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 3 + 20 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)

W/S 6.3B

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

2. I think of a number, double it, take 7 away and the answer is 3. 2N – 7 = 3

3. I think of a number, add 3 and then multiply by 4. The answer is 24.

4 ( N + 3 ) = 24

4. I think of a number, square it, take away 3 and the answer is 13.

N² - 3 = 13

In each of the questions above can you solve the equation.

M = 3

N = 5

N = 3

N = 4

W/S 6.4B

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:

Thank you for your attention