Solving One-Step Equations

1
Solving One-Step Equations
ALGEBRA 1 LESSON 2-1
6
21
98
35
6
2-1
2
Solving Two-Step Equations
ALGEBRA 1 LESSON 2-2
Solve each equation. 1. 3b 8 10 2. 12
3x 9 3. 7 14 4. x 13 35 5.
What is the justification for the following
step? 12 2y 46 12 2y 12 46
12
6
1
c 4
28
48
Subtraction Property of Equality
2-2
3
Solving Multi-Step Equations
ALGEBRA 1 LESSON 2-3
Solve each equation. 1. 4a 3 a 24 2.
3(x 5) 66 3. 7 4. 0.05x
24.65 27.5
7
17
n3
n4
12
57
2-3
4
Equations with Variables on Both Sides
ALGEBRA 1 LESSON 2-4
Solve each equation. 1. 3 2t 7t 4 2. 4n
2(n 1) 3(n 1) 3. 3(1 2x) 4
6x 4. You work for a delivery service. With Plan
A, you can earn 5 per hour plus .75 per
delivery. With Plan B, you can earn 7 per hour
plus .25 per delivery. How many deliveries must
you make per hour with Plan A to earn as much as
with Plan B?
1
no solution
4 deliveries
2-4
5
Equations and Problem Solving
ALGEBRA 1 LESSON 2-5
1. The sum of three consecutive integers is 117.
Find the integers. 2. You and your brother
started biking at noon from places that are 52 mi
apart. You rode toward each other and met at 200
p.m. Your brothers average speed was 4 mi/h
faster than your average speed. Find both
speeds. 3. Joan ran from her home to the lake at
8 mi/h. She ran back home at 6 mi/h. Her total
running time was 32 minutes. How much time did it
take Joan to run from her home to the lake?
38, 39, 40
your speed 11 mi/h brothers speed 15 mi/h
about 13.7 minutes
2-5
6
Formulas
ALGEBRA 1 LESSON 2-6
2-6
7
Using Measures of Central Tendency
ALGEBRA 1 LESSON 2-7
1. Find the mean, median, and mode. Which measure
of central tendency best describes the data? 49
52 53 56 62 61 55 52 2. Make a stem-and-leaf
plot for the data above. 3. Your test grades
are 83, 94, 86, and 91. What grade do you need to
earn on your next test to have an average of 90?
mean 55 median 54 mode 52 The mean best
describes the data.
49 means 49
96
2-7