Review of Previous Lesson/HW/Do Now
Statement of Objectives:
A.A.6 Analyze and solve verbal problems whose solution requires solving a linear
equation in one variable or linear inequality in one variable
A.A.22 Solve all types of linear equations in one variable
When using the distributive property, it is very important to remember to multiply every
inside term by the outside term.
outside term inside term inside term
inside term outside term
The outside term can come before or after the inside terms.
3 (a+b) = 3a + 3b
3 (a-b) = 3a - 3b
(a + b)3 = 3a + 3b
(a - b)3 = 3a - 3b
7( a + b + c - d + e) = 7a + 7b +7c - 7d + 7e
Sample Regents Math A Problem
What is the value of n in the equation 0.6(n +10) = 3.6?
(1) –0.4 (3) –4
(2) 5 (4) 4
Use the distributive property’
Given: 0.6(n+10) = 3.6 Check
DistProp .6(n)+.6(10)=3.6 .6(-4)+.6(10)=3.6
.6n+ 6 =3.6 -2.4 + 6 =3.6
S 6 -6 -6 3.6 =3.6
The answer is (3) -4
Answer n = -4
A Second Regents Math A Problem
A candy store sells 8-pound bags of mixed hazelnuts and cashews. If c pounds of
cashews are in a bag, the price p of the bag can be found using the formula
p 2.59c 1.72(8 c). If one bag is priced at $18.11, how many pounds of cashews
does it contain?
A formula is provided and a price is provided. What the problem is asking us to do is
solve for c when the price is $18.11. Once we understand this, the rest is easy.
Given: p=2.59c+1.72(8-c) Check
Given: p=18.11 18.11=2.59 5 +1.72(8-5)
Therefore: 18.11=2.59c+1.72(8-c) 18.11=12.95+1.72 3
Dist.Prop. 18.11=2.59c+1.72(8)-1.72(c) 18.11=12.95+5.16
Subtract 13.76 8.11-13.76=.87c
Check for Understanding:
Students should complete the worksheet on their own.