Slide 1:
Variable—any letter that represents an unknown value or number.
Coefficient—any number that comes before the variable when being multiplied.
Expression—a mathematical sentence that involves THREE entities:
1. Numbers
2. Variables
3. Operation Symbols
Examples: 3x
m + 2
Equation—an expression WITH an equal sign.
Examples: 4m = 7
11x – 5 = 7 Make sure to put me AFTER the coefficient when multiplying! Make sure to put me BEFORE the addend when adding! Sorry! We don’t use Mr. anymore! He’s old news! 1-1Variables, Expressions & Equations Slide 2:
Write an expression for each phrase.
1. 4 more than a number
x + 4
2. The product of a number and 7
7m
3. The quotient of 11 and g
4. 22 less than a number r
r – 22
5. The difference of a number and 2
t – 2 Be careful! Anytime you see the words “less than”, it means to not only subtract, but to also SWITCH! Keep in the same order as it is given to you. Keep in the same order as it is given to you. Write it in correct algebraic form. Write it in correct algebraic form. 1-1Variables, Expressions & Equations Slide 3:
Write an expression for each phrase.
6. 8 pieces of pizza divided among f friends
8/f
7. The sum of 9 and k, divided by 12
k + 9
8. 15 less than the product of v and 5
5v
9. The difference of the product of 8 and r and the sum of 12 and h 12 ) ( – 15 – h + 12 8r 1-1Variables, Expressions & Equations 1-1Variables, Expressions & Equations :
Write an equation for each phrase.
10. The quotient of the product of y and 7 and the sum of x and 2 is 17.
7y
11. The sum of the product of u and 9, and the difference of 11 and r, is 10.
9u 1-1Variables, Expressions & Equations X + 2 = 17 + 11 – r = 10 ( ) 1-2Order Of Operations :
1-2Order Of Operations Order Of Operations—
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction FROM LEFT TO RIGHT NO MATTER WHAT! FROM LEFT TO RIGHT NO MATTER WHAT! 1-2Order Of Operations :
Simplify each expression.
p.12 #19 17 – 52 (24 + 32)
17 – 52 (16 + 9)
17 – 52 25
17 – 25 25
17 – 1
16 1-2Order Of Operations 1-2Order Of Operations :
Evaluate the expression for s = 11 and v = 8.
p.12 #27 2s2v
2(11)2(8)
2(121)(8)
242(8)
1936 1-2Order Of Operations Make sure to evaluate the exponent BEFORE multiplying! 1-2Order Of Operations :
Simplify each expression.
p.12 #33 27[52 (42 + 32) + 2]
27[52 (16 + 9) + 2]
27[52 25 + 2]
27[25 25 + 2]
27(1 +2)
27(3)
81 1-2Order Of Operations 1-2Order Of Operations :
Evaluate the expression for m = 3, p = 7, q = 4
p.12 #61 m(p – q)2
3(7 – 4)2
3(3)2
3(9)
27 1-2Order Of Operations