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Name: ______________________
Date:_______________
Period:______________
HW 1-1 Solve Multi-Step Equations
-2(a + 3) = −12
1.
3. 3(𝑥 − 5) = 2(𝑥 + 5)
5.
7.
1
4
+
4𝑥
5
=
11
1
2. 6 = 4(2k + 3)
4. 5𝑥 − (𝑥 − 3) = −21
6.
20
A student solved the following equation as shown below.
Line 1
Line 2
Line 3
−2𝑥 + 13 − 8𝑥 = −17
6𝑥 + 13 = −17
6𝑥 = −30
𝑚 = −5
At which line does the mistake first appear?
A
B
C
D
Line 1
Line 2
Line 3
The equation was solved correctly.
2𝑥−1
5
= −7
8.
A merchant is selling wind chimes from a booth at a flea market. He rents his space for $125 per day.
The profit from each wind chime sold is $12. His goal is to make $3500 in a five-day workweek. Which
equation represents how many chimes he needs to sell in a week to meet his goal?
F
12𝑐 − 625 = 3500
G
5(12𝑐) − 125 = 3500
H
5(12𝑐 + 125) = 3500
J
5(12𝑐 − 125) = 3500
Skill Review:
I can combine like terms
I can solve multi-step equations
I can use the distributive property
I can solve simple inequalities
I can translate words into math
1.
2x + 4 - 7y + 9y - 5x -10
2. 3y - 7 = 14
3. 3(9x + 2)
4. a.)
7y > 21
b.)
-7y > 21
5. The difference of 2 and a number, f.