Download Jag Mark - Madison County Schools

Homework Answers:
Jag Mark:
Lesson 2.1 - Solving One - Step Equations
Addition Property of Equality: Adding the same number to each side of an
equation produces an equivalent equation.
Multiplication and Division Properties of Equality
Multiplication Property of Equality: Multiplying the same number by each side of an equation
produces an equivalent equation.
x
ex 1) x + 3 = 2
3
Subtraction Property of Equality: Subtracting the same number from each side of an equation produces
an equivalent equation.
ex 2) x + 3 = 2
ex 4) -7 = b - 3
is equivalent to
x
3 =2 3
3
Division Property of Equality: Dividing each side of an equation by the same nonzero number produces an
equivalent expression.
5x = 20
Identify the property used to solve each equation below.
ex 3) y + 2 = -6
= 2
is equivalent to
5x = 20
5
5
Identify the property used to solve each equation below.
1. 10 = 15x
2.
x
=8
-9
Solve each equation using the appropriate property of equality.
3) 4x = 6.4
4)
Lesson 3.1-3.3 Solving Inequalities
Each of the properties of equalities that we discussed also apply to inequalities.
1) Addition Property of Inequality
2) Subtraction Property of Inequality
5)
3
1
-y=
5
2
6)
5y = 24
3) Division Property of Inequality
4) Multiplication Property of Inequality
***However...if you are using the multiplication/division property of inequality with
a negative number, the inequality sign must reverse.
Lesson 2.2 and 3.4 - Solving Two - Step Equations and Inequalities
ex 1) 2x + 3 = 15
Use the appropriate properties to justify the solution of each inequality.
(Remember that negative numbers can impact your inequality sign.)
1)
2)
3)
4)
ex 2)
ex 4)
ex 3)
Lesson 2.3 and Lesson 3.4 - Solving Multi - Step Equations and
Inequalities:
ex 5)
ex 6)
ex 7)
ex 8)
Solving an equation using the Distributive Property (Clearing Parentheses):
ex 3) -8(2x - 1) = 36
Combining Like Terms:
ex 1) 5 = 5m - 23 + 2m
ex 2)
Martha takes her niece and nephew to a concert. She buys T-shirts and bumper stickers for them.
The bumper stickers cost $1 each. Martha's niece wants 1 shirt and 4 bumper stickers, and her
nephew wants 2 shirts but no bumper stickers. If Martha can spend no more than $67, what is the
cost of one shirt?
Solving an equation that contains fractions (Clearing Fractions):
ex 4)
Solving an equation that contains decimals (Clearing Decimals):
ex 5) 3.5 - 0.02x = 1.24
Homework:
Lesson 2.2 page 91 #'s 11 - 23 odd
Lesson 2.3 page 98 #'s 11 - 19 odd
Lesson 3.1 page 168 #'s 9, 11
Extra Practice:
ex 6)
-2(3x + 9) < 24
ex 7)
Lesson 3.2 page 174 #'s 9 - 27 odd, 42
Lesson 3.3 page 181 #'s 7 - 11 odd; 19 - 27 odd, 31
Lesson 3.4 page 190 #'s 17 - 43 odd, 45