Transcript Lesson 6. Algebraic Expressions

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
(X = 15)
T + 6 = 19
(T = 13)
7 + R = 34
(R = 27)
19 + W = 41
(W = 22)
P - 14 = 27
(P = 41)
G - 23 = 5
(G = 28)
14 - H = 2
(H = 12)
(L = 7)
24 - L = 17
Solve the equations.
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
Expression in words:
Add seven to a number.
Equation in words:
Add 7 to a number and you’ll get 15.
Expression in symbols:
N+7
Equation in symbols:
N + 7 = 15
When we give an expression in symbols it is called an algebraic
expression.
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 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 6.4B
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.
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