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Name:________________________________________________________________________________Date:_____/_____/__________
1. Evaluate the following when x = 2 and y = -3 :
y³ + (5 – y)²
Sticker
Challenge!
2. Model the following equations:
x - (-3) = -1
x = ___
x+2 = 1
x = ___
3. Solve the following equations (paper/ pencil method):
(-30) + x = 20
-56 = x + 4
x – 27 = -2
6 = x – (-36)
NAME: _______________________________________________________________________________ DATE: _____/_____/__________
Math-7 NOTES
What:
One-step equations (multiplication/ division)
Why:
. . . so I can solve multiplication and division one-step equations .
Modeling Multiplication equations:
1)
3x = 15
2)
4x = 16
To solve a multiplication equation, we perform the ______________________
operation. In other words, we ________________________________ on both sides of
the equation!!!
5x = -55
5x = -55
5
5
x = -11
Example:
Find the # with “x.”
This is the coefficient.
Then, DIVIDE on both
sides by that # !!
Guided examples:
3)
-80 = -8x
4) - x = 75
Divide on both
sides!
YOUR TURN:
5)
- x = -12
6)
-40x = 80
7)
90 = 3x
Division equations:
To solve a division equation, we perform the _______________________________
operation. In other words, we ________________________________ on both sides of
the equation!!!
𝒙
𝟒
example:
𝟒
𝟏
( )
𝒙
𝟒
= -20
To get rid of a
fraction,
ON
BOTH SIDES by
the “flip” of the
fraction!
𝟒
𝟏
= -20 ( )
x = -80
Guided examples:
2)
𝑥
20
-50 =
= 6
on both
sides!
YOUR TURN:
3)
4)
𝑥
15
𝑥
−3
-8 =
= 2
𝑥
−8
Equations with a fraction (guided examples):
1)
2
3
x=6
IXL: 7th Grade, S.5
1)
2)
4
5
x = -8
5)
𝑥
7
= -9
YOUR TURN:
3)
3
4
x =9
Wrap-it-up/ summary:
1) How do you solve a multiplication one-step equation? . . . a division one-step equation?
NAME: _______________________________________________________________________________ DATE: _____/_____/__________
IXL, S.5
Earn a 70 or higher!
S.5 – “Solve One-Step Equations”: In this section, you will copy
problem down from screen, SHOW ALL STEPS required to
solve, and circle final answer. Then, transfer answer to computer.
Example:
(
3
1
)
𝑝
3
=4
𝑝
3
=4(
p = 12
3
1
)
SHOW ALL STEPS AND
TRANSFER ANSWER
FROM PAPER ONTO
COMPUTER!
NAME:_______________________________________________________________________________DATE: _____/_____/__________
Math-7 individual practice
Complete the following MULTIPLICATION one-step equations. Remember, to solve a
multiplication equation, we DIVIDE (inverse operation) on both sides!!
1)
-4x = 24
2)
4)
63 = 7x
5)
-81 = 9x
12x = -48
3)
-7x = -42
6)
77 = -11x
Complete the following DIVISION one-step equations. Remember, to solve a division
equation, we MULTIPLY (inverse operation) on both sides!!
7)
10)
𝑥
8
= -5
𝑥
100
= -8
8)
𝑥
−2
11)
-6 =
= -9
𝑥
−9
9)
12)
12 =
𝑥
20
𝑥
4
= 5
The below is a mixture of BOTH multiplication and division equations. Decide which type
each equation is, and solve (using above methods).
13)
16)
15x = -30
-25 =
𝑥
4
14)
-10x = -200
15)
𝑥
−7
= -7
17)
50 = 5x
18)
𝑥
25
= -4
Complete the following one-step equations with FRACTIONS. Remember, we MULTIPLY
on both sides by the INVERSE (flip) of each fraction!!
19)
5
x = 5
8
20)
2
x = -8
5
21)
1
x = 4
4