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Transcript
Name______________________
[ PACKET
3.3: SOLVING MULTI-STEP EQUATIONS ]
1
Write your questions here!
Inverse Operations:
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To solve equations with multiple steps, we combine like terms, use reciprocals, apply the distributive property and use inverse operations. Combine like-terms,
first, if possible!
Always try to simplify before solving, if possible! Solve the following equation by combining like terms first: Solve the following equations by using the distributive property: [ PACKET
3.3: SOLVING MULTI-STEP EQUATIONS ]
Now, summarize
your notes here!
Solve the following equations by using a reciprocal: There are several ways to solve this equation. You decide for yourself the best method: 2
Algebra 1
Name___________________________________
Practice 3.3
.N
Solve each equation.
1) xx
2) m
3) aa
4) x
5) (x)
6) ( p)
7) (k)
Worksheet by Kuta Software LLC
8) 
-3-

(x)

2
9) (v)
10) (n)
11) (a)
12) (a)a
13) (n)
14) 

(n)

15) (b)
16) (v)
17) (n)
18) (x)
-4-
Worksheet by Kuta Software LLC
[PACKET 3.3: SOLVING MULTI-­‐STEP EQUATIONS] 5
Application And Extension
Solve the following equations for the unknown variable: 1. !
!
𝑑 + 3 = 5 2. 23 = -­‐4m + 2 + m Target Heart Rate The target heart rate is the heartbeat rate during aerobic exercise that provides a benefit to your heart. The target heart rate for a person exercising at 70% intensity is given by the equation y = 0.7(200 -­‐ x) where y is the target heart rate in beats per minute and x is the person’s age in years. 3. How old is a person with a target heart rate of 133 beats per minute? 4. How old is a person with a target heart rate of 126 beats per minute? Quick Review
5. Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon around a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What is the height of the box? 1. Multiply:
2. Evaluate if x = -5 and y = -1
3 14
∙
2 15
-x - y
3. Simplify:
−2 − 35
+ 36 −4 + 5
Coming Up
3. Plot (3, 0)
1. Distribute:
- (-x - 1)
2. Simplify:
-x – (y – 3x)