one-step equations booklet - math in demand · 2019-02-20 · solving one-step equations 2 with...
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One-Step Equations Booklet
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Created By: Math in Demand
Includes 3 Versions!
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Math in Demand with
Directions: Cut out each page on the outer solid line. Place the pages in order with the cover on top. Glue or staple
your booklet together.
VERSION 1: Cover Page FILL-IN TEMPLATE
1 x - a = b
𝑥
𝑎 = -b
- 𝑥
𝑎 = -b
ax = -b
© 2019 Math in Demand
Solving One-Step Equations with __________________ 1
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You will fold on dotted line
VERSION 1: Page 1
Addition Property of Equality:
For ______ ____ _______ __, __, and __, if __ = __, then ________ = ________.
These one-step equations are in the form:
x – a = b OR x – a = -b
Our goal is to get the ________ “__” by itself. This means that we need to “get rid” of anything on the same
side of the ______ ____ with the _______. In this case, we need to get rid of the _______ “__”. We will get rid of “__” by _____ “__” to _____ _____ of the _______.
This is the same as using the:
Examples: 1
2
x – 5 = 4
Check:
Solve: x – 8 = -2
Check:
Solve:
© 2019 Math in Demand
RULES to Remember
____ + ____ = ______ ____ _____ ____ _____ ____ + ____ = ______ ____ _____ ____ _____
____ + ____ = __ __ ___ __ _____ _ ___ _______
This is a tab. Make sure to NOT cut off! Cut around the tab!
Solving One-Step Equations with __________________ 2
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VERSION 2: Page 1
Addition Property of Equality:
For ______ ____ _______ __, __, and __, if __ = __, then ________ = ________.
These one-step equations are in the form:
x – a = b OR x – a = -b
Our goal is to get the ________ “__” by itself. This means that we need to “get rid” of anything on the same
side of the ______ ____ with the _______. In this case, we need to get rid of the _______ “__”. We will get rid of
“__” by __________ “__” to _____ _____ of the _______. This is the same as using the:
Examples: 1
2
x + 7 = 12
Check:
Solve: x + 4 = -3
Check:
Solve:
© 2019 Math in Demand
RULES to Remember
____ + ____ = ______ ____ _____ ____ _____ ____ + ____ = ______ ____ _____ ____ _____
____ + ____ = __ __ ___ __ _____ _ ___ _______
This is a tab. Make sure to NOT cut off! Cut around the tab!
Solving One-Step Equations with __________________
3
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VERSION 1: Page 3
Division Property of Equality:
For ______ ____ _______ __, __, and __where
__≠__, if __ = __, then ___ = ___.
These one-step equations are in the form:
ax = b OR ax = -b OR -ax = b OR -ax = -b
Our goal is to get the ________ “__” by itself. This means that we need to “get rid” of anything on the same
side of the ______ ____ with the _______. In this case, we need to get rid of the _______ “___”. We will get rid of “___” by ________ _____ _____ of the
_______ by “___”. This is the same as using the:
Examples: 1
2
4x = 24
Check:
Solve: -7x = 21
Check:
Solve:
© 2019 Math in Demand
__ ÷ __ = __
__ ÷ __ = __
__ ÷ __ = __
__ ÷ __ = __
RULES to Remember
This is a tab. Make sure to NOT cut off! Cut around the tab!
Solving One-Step Equations with __________________
4
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VERSION 1: Page 4
Multiplication Property of Equality:
For ______ ____ _______ __, __, and __, if __ = __, then ________ = ________.
These one-step equations are in the form:
𝑥
𝑎 = b OR
𝑥
𝑎 = -b OR -
𝑥
𝑎 = b OR -
𝑥
𝑎 = -b
Our goal is to get the ________ “__” by itself. This means that we need to get rid of anything on the same side of the ______ ____ with the _______. In this
case, we need to get rid of the _______ “___”. We will get rid of “___” by ________ _____ _____ of the
_______ by “___”. This is the same as using the:
Examples: 1
2
𝑥
2 = 5
Check:
Solve:
© 2019 Math in Demand
__ × __ = __
__ × __ = __
__ × __ = __
__ × __ = __
RULES to Remember
-
𝑥
3 = 4
Check:
Solve:
This is a tab. Make sure to NOT cut off! Cut around the tab!
Practice! 5
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VERSION 1: Page 5
1
2
© 2019 Math in Demand
RULES to Remember
__ ÷ __ = __
__ ÷ __ = __
__ ÷ __ = __
__ ÷ __ = __
__ × __ = __
__ × __ = __
__ × __ = __
__ × __ = __
3
4
Problems:
x + 13 = 9
Check:
Solve: x - 8 = -1
Check:
Solve:
-6x = -36
Check:
Solve:
𝑥
4 = -8
Check:
Solve:
___ + ___ = ___ ___ + ___ = ___
___ + ___ = ____ __
_______ __
This is a tab. Make sure to NOT cut off! Cut around the tab!
Directions: Cut out each page on the outer solid line. Place the pages in order with the cover on top. Glue or staple
your booklet together.
VERSION 2: Cover Page ANSWER KEY TEMPLATE
1 S
Equations
t e p
x - a = b
𝑥
𝑎 = -b
- 𝑥
𝑎 = -b
ax = -b
© 2019 Math in Demand
Additio
n
Solving One-Step Equations with Addition 1
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VERSION 2: Page 1
Addition Property of Equality:
For every real number a, b, and c, if a = b, then a + c = b + c.
These one-step equations are in the form:
x – a = b OR x – a = -b
Our goal is to get the variable “x” by itself. This means that we need to get rid of anything on the same side of
the equals side with the variable. In this case, we need to get rid of the constant “a”. We will get rid of “a” by
adding “a” to both sides of the equation. This is the same as using the:
Examples: 1
2
x – 5 = 4 +5 +5 x = 9
Check:
Solve:
x – 5 = 4 9 – 5 = 4 4 = 4
x – 8 = -2 +8 +8 x = 6
Check:
Solve:
x – 8 = -2 6 – 8 = -2 -2 = -2
© 2019 Math in Demand
RULES to Remember
Neg. + Neg. = Keep the sign and add Pos. + Pos. = Keep the sign and add
Pos. + Neg. = Use the sign of larger # and subtract
This is a tab. Make sure to NOT cut off! Cut around the tab!
Subtra
ctio
n
Solving One-Step Equations with Subtraction 2
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VERSION 2: Page 2
Subtraction Property of Equality:
For every real number a, b, and c, if a = b, then a - c = b - c.
These one-step equations are in the form:
x + a = b OR x + a = -b
Our goal is to get the variable “x” by itself. This means that we need to get rid of anything on the same side of
the equals side with the variable. In this case, we need to get rid of the constant “a”. We will get rid of “a” by
subtracting “a” to both sides of the equation. This is the same as using the:
Examples: 1
2
x + 7 = 12 -7 -7 x = 5
Check:
Solve:
x + 7 = 12 5 + 7 = 12 12 = 12
x + 4 = -3 -4 -4 x = -7
Check:
Solve:
x + 4 = -3 -7 + 4 = -3
-3 = -3
© 2019 Math in Demand
RULES to Remember
Neg. + Neg. = Keep the sign and add Pos. + Pos. = Keep the sign and add
Pos. + Neg. = Use the sign of larger # and subtract
This is a tab. Make sure to NOT cut off! Cut around the tab!
Div
ision
Solving One-Step Equations with Division 3
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VERSION 2: Page 3
Division Property of Equality:
For every real number a, b, and c where c ≠ 0, if
a = b, then 𝑎
𝑐 =
𝑏
𝑐.
These one-step equations are in the form:
ax = b OR ax = -b OR -ax = b OR -ax = -b
Our goal is to get the variable “x” by itself. This means that we need to “get rid” of anything on the same side of the equals side with the variable. In this case, we need to get rid of the constant “±a”. We will get rid of “±a” by dividing both sides of the equation by “±a”. This is the
same as using the:
Examples: 1
2
4x = 24 4 4 x = 6
Check:
Solve:
4x = 24 4(6) = 24 24 = 24
-7x = 21 -7 -7 x = -3
Check:
Solve:
-7x = 21 -7(-3) = 21 21 = 21
© 2019 Math in Demand
+ ÷ + = +
- ÷ - = +
+ ÷ - = -
- ÷ + = -
RULES to Remember
This is a tab. Make sure to NOT cut off! Cut around the tab!
Multip
licatio
n
Solving One-Step Equations with Multiplication 4
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VERSION 2: Page 4
Multiplication Property of Equality:
For every real number a, b, and c, if a = b, then a ⋅ c = b ⋅ c.
These one-step equations are in the form:
𝑥
𝑎 = b OR
𝑥
𝑎 = -b OR -
𝑥
𝑎 = b OR -
𝑥
𝑎 = -b
Our goal is to get the variable “x” by itself. This means that we need to “get rid” of anything on the same side of the equals side with the variable. In this case, we need to
get rid of the constant “±1
𝑎”. We will get rid of “±
1
𝑎” by
multiplying both sides of the equation by “±a”. This is the same as using the:
Examples: 1
2
𝑥
2 = 5
2 ⋅ 𝑥
2 = 5 ⋅ 2
x = 10
Check:
Solve:
𝑥
2 = 5
10
2 = 5
5 = 5
© 2019 Math in Demand
+ × + = +
- × - = +
- × + = -
+ × - = -
RULES to Remember
-
𝑥
3 = 4
-3 ⋅ -
𝑥
3 = 4 ⋅ -3
x = -12
Check:
Solve:
-
𝑥
3 = 4
-
(−12)
3 = 4
4 = 4
This is a tab. Make sure to NOT cut off! Cut around the tab!
Pra
ctic
e
Practice! 5
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VERSION 2: Page 5
1
2
© 2019 Math in Demand
RULES to Remember
+ ÷ + = +
- ÷ - = +
+ ÷ - = -
- ÷ + = -
+ × + = +
- × - = +
- × + = -
+ × - = -
3
4
Problems:
x + 13 = 9 -13 -13 x = -4
Check:
Solve:
x + 13 = 9 -4 + 13 = 9 9 = 9
x - 8 = -1 +8 +8 x = 7
Check:
Solve:
x - 8 = -1 7 - 8 = -1
-1 = -1
-6x = -36 -6 -6 x = 6
Check:
Solve:
-6x = -36 -6(6) = -36 -36 = -36
𝑥
4 = -8
4 ⋅ 𝑥
4 = -8 ⋅ 4
x = -32
Check:
Solve:
𝑥
4 = -8
−32
4 = -8
-8 = -8
Neg + Neg = Neg Pos + Pos = Pos Pos + Neg = Sign of
Larger #
This is a tab. Make sure to NOT cut off! Cut around the tab!
Directions: Cut out each page on the outer solid line. Place the pages in order with the cover on top. Glue or staple
your booklet together.
VERSION 3: Cover Page BLANK TEMPLATE
© 2019 Math in Demand
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VERSION 3: Page 1
© 2019 Math in Demand
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VERSION 3: Page 2
© 2019 Math in Demand
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VERSION 3: Page 3
© 2019 Math in Demand
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VERSION 3: Page 4
© 2019 Math in Demand
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VERSION 3: Page 5
© 2019 Math in Demand
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