Download FOR STARTERS

1.4 Warm Up
Evaluate each expression.
1. 9 – 3(-2)
2. 3(-5 + 7)
 3  (7) 
12

3.
 12 
4. 26 – 4(7 – 5)
Simplify each expression.
5. 10c + c
6. 8.2b + 3.8b – 12b
7. 6x – (2x + 5)
1.4 Solving Multi-Step Equations
To isolate the variable, simplify each side if applicable, and then
undo the operations.
Ex. 1
Multistep…
a.
2
x  9  -3
3
b.
x
54
2
c.
12x  4x  8  32
d. 4x + 2(x + 4) = 20
e. 10x – 3(x – 4) = 22
Ex 2.
Multiplying by a Reciprocal First
2
22   ( x  2)
a.
3
7
( x  3)  14
b. 5
Ex 3.
Problem Solving Application
Alex belongs to a music club. In this club, students
can buy a student discount card for $19.95. This
card allows them to buy CDs for $3.95 each. After
one year, Alex has spent $63.40. Write and solve an
equation to find out how many CDs Alex bought
during the year.
Ex 4.
Consecutive Integer Problems
1) The sum of 3 consecutive integers is 54.
Write an equation and find the integers.
2) The sum of 3 consecutive odd integers is 99.
Write an equation and find the integers.
Name: ________________________________
Algebra I Intermediate
1.
Date: _______________________
1.4 Real-Life/Consecutive Int. Probs
HYPOTHERMIA - A body temperature of 95˚F or lower may indicate the medical
condition called hypothermia. What temperature in the Celsius scale may
indicate hypothermia?
9
F  C  32
5
2.
SCIENCE CONNECTION - The temperature within the earth’s crust increases
about 30˚C for each kilometer of depth beneath the surface. If the temperature
at the Earth’s surface is 24˚C, at what depth would expect the temperature to be
114˚C?
3.
The sum of two consecutive integers is 65. Find the integers.
4.
The sum of three consecutive odd integers is 249. Find the integers.
5.
The sum of three consecutive even integers is 456. Find the integers.
6.
The sum of 3 consecutive integers is 876. Find the integers.
7.
The sum of 3 consecutive even integers is -48. Find the integers.
8.
The sum of 3 integers is 92. The second integer is one more than two times the first
integer. The third integer is 11 less than 3 times the first integer. Find the integers.
9.
There are three consecutive even integers. Half the sum of the second and third
numbers is 35. What are the integers?