Transcript Document

3.3 Day 1 Solving Multi-Step Equations, p124 Warm Up
1. 3x = 102
y
2. 15 = 15
3. z – 100 = 21
4. 1.1 + 5w = 98.6
AF4.1 Solve two-step linear equations…in one variable over the rational numbers,
interpret the solution…in the context… & verify the results. Also: AF1.1
LO: I will use rational number strategies, skills
and concepts to evaluate multi-step equations.
•Simplify the equation by combining like terms.
8x + 6 + 3x – 2 = 37
•If an equation contains fractions- multiply both sides of the
equation by the least common denominator (LCD) to clear the
fractions before you isolate the variable.
2n + 3 = – 1
4
4
4
1.
3.
4.
*Remember-If an equation contains fractions, multiply both sides of the
equation by (LCD) to clear the fractions BEFORE you isolate the variable.
5.
Real Life Application
6. A student has two test scores of 83 and 60. Find what the student
would have to score on a third test to average 90.
* Remember: Use LCM to clear the equation of fractions.
1st ______________________ each side by the LCD, ___
to clear the equation of the _______________________.
2nd Isolate the variable.
The student would have to score ____ on a third test to average 90.
Day 1- 3.3 RM & 3.3 SR p127 #41-48even
Real Life Application
7.
8. The sum of three consecutive integers is 96. Find the integers.
Let n = the least integer, so n +1= the second integer, and n +2= the third integer.
n + (n + ) + (n + ) = 96
Use ___________________________ Property
and ____________________________ Property
of Addition to group like terms together.
Combine like terms.
Undo to isolate the variable.
9.
12.
11.
10.
13.
14.
*Remember- If an equation contains fractions, multiply both sides of the
equation by (LCD) to clear the fractions BEFORE you isolate the variable.
15. 9x + 5 + 4x – 2 = 42
17. 5x
9
+ x – 13 = 1
3
9
3
16. 3n + 5 = – 1
4
4
4
18.
x
7x
+
2
9
–
17
9
=
2
3
19. 6x + 3x – x + 9 = 33
20. 5 + x = 33
8
8
8
21. Linda is paid double her normal hourly rate for each hour she works over
40 hours in a week. Last week she worked 52 hours and earned $544. What
is her hourly rate?
22. Yesterday, Penelope rode her scooter m miles in 3 hours. Today, she rode twice as
far in 7 hours. If her average speed for two days is 20 mi/h, how far did she ride on
Saturday? Round your answer to the nearest tenth of a mile.
Penelope’s average speed is her total distance for the two days divided by the total time.
Total distance
Total time
=
average speed
Day 2- 3.3 p126 #12, 18, 26, 28, 36 & 38 remember to show work!