Simplifying Expressions
2x-6x+7x
3x
2(x+y)
2x+2y
a(b+c)
a=2
b=6
c=-4
4
What is a variable in math?
any letter or letters
Example: x, y, a, b
16 increased by twice her height
use h for height
2h+16 or
16+2h
7y-y
6y
5(2x+3)
10x+15
b2-7b-8 b=-2
10
What is a like term?
Something with the same letter and exponent
6 less than a
a-6
2x + 4 +3x
5x+4
-7(3x-11)
-21x+77
Evaluate 5r - 8.35s when r = 12 and s = 4
32.6
What a coefficient in math
any number by itself
Example: 1,2,500
Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pounds per month, m.
12+0.5m
For the expression
10y+4y+8y
What are all the equivalent expressions?
A) 22y
B) 12y-10y
C) 10y+12y
D) 22+y
A and C
For the expression
6(8x-3)
What are all the equivalent expressions?
A) 14x-3
B) 6*8x-6*3
C) 48x-3
D) 48x-18
B and D
Evaluate 3.6x + 4.5y when x = 3 and y = 7.
42.3
What is an expression?
A combination of numbers, letters, and operations without an equal sign
Model with Math Which expression can be used to determine the total weight of b baseballs that weigh 5.25 ounces each and s softballs that weigh 6.5 ounces each?
5.25b+6.5s
3x+7-7x-2
-4x+5
5(2x+4)-14x
-4x+20
-50 + 5/13p p=-26
-60
Label the terms and like terms of the expression
5x+2-3x-6
Terms:
5x,2,-3x,-6
Like Terms:
5x,-3x
2,-6
five less than the quotient of 22 and Greg's savings
use g for gregs savings
22/g -5