Download Module 3 Lesson 7.notebook

Module 3 Lesson 7.notebook
Module 3 - Lesson 7
Understanding Equations
January 12, 2016
Hw: Lesson 7
Problem Set #1,
2, 3(b).
(Pg 41)
Do Now: Lesson 6 Exit Ticket
Module 3 Lesson 7.notebook
January 12, 2016
Lesson 6 Exit Ticket
For the problem
, Tyson created an equivalent expression
using the following steps.
Is his expression equivalent to the original?
Module 3 Lesson 7.notebook
Lesson 6 Problem Set # 2(a, c, e), 3(a,e,j,k) (Pg 37)
2) a.
c.
e.
3) a.
e.
j.
k.
January 12, 2016
Module 3 Lesson 7.notebook
January 12, 2016
Opening Exercise (Pg 38)
Your brother is going to college, so you no longer have to share a
bedroom. You decide to redecorate a wall by hanging two new posters.
The wall is 14 ft wide and each poster is four feet wide. You want to
place the posters on the wall so that the distance from the edge of
each poster to the nearest wall is the same as in between the posters.
Determine the distance.
14 feet
4 feet
4 feet
Module 3 Lesson 7.notebook
January 12, 2016
Example 1 (Pg 39)
Consecutive Integers: Integers that follow each other in order. If n is an integer
than n, n+1, and n+2 would be consecutive integers.
The sum of three consecutive integers is 18. Find the three integers.
b.) Let x represent the first integer. Write expressions to represent the
following integers.
c.) Write an equation to model this situation. Solve.
Module 3 Lesson 7.notebook
January 12, 2016
Example 2 (Pg 39)
The ages of three sisters are consecutive integers. The sum of their ages is 45.
Find their ages.
b.) If the youngest sister is x years old, describe the ages of the other two
sisters in terms of x, write an expression for the sum of their ages in terms
of x. Write an equation and solve to find the ages.
Module 3 Lesson 7.notebook
January 12, 2016
Exercise (Pg 40)
1. Sophia pays $19.99 membership fee for an online music store.
a. If she also buys two songs from a new album at a price of $0.99
each, what is the total cost?
b. If Sophia purchases n songs for $0.99 each, write an expression for the total
cost.
c. Sophia's friend has saved $118 but isn't sure how many songs she can afford
if she buys the membership and some songs. Use the expression in part (b) to
write an equation that can be used to determine how many songs Sophia's
friend can buy.
d. Can Sophia's friend buy 101, 100, or 99 songs?
Module 3 Lesson 7.notebook
January 12, 2016
Directions: On a piece of paper, copy the following.
For 1 and 2, Check whether the
given value is a solution to the
equation.
1. 5n + 3 = 3n - 7 , n = -2
2. 2(a - 3) = 2, a = 4
For 3 and 4, write an equation
and solve.
3. The sum of two consecutive
integers is 7. Let x represent
the 1st integer.
4. Two times five more than a
number is 24.