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Solve the following equations. Justify each step. 1. WorkJustification -46 + q = 5given equation WorkJustification m + 20 = 3given equation. Bell Quiz. -46 + 46 + q = 5 + 46 Addition Property of Equality 0 + q = 51 Substitution

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Bell Quiz

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Solve the following equations. Justify each step.

1. WorkJustification

-46 + q = 5given equation

WorkJustification

m + 20 = 3given equation

Bell Quiz

-46 + 46 + q = 5 + 46Addition Property of Equality

0 + q = 51Substitution

q = 51 Additive Identity Property

m + 20 - 20 = 3 - 20Subtraction Property of Equality

m + 0 = -17Substitution

m = -17 Additive Identity Property

Solving Equations 1

Solve the following equations. Justify each step.

1. WorkJustification

given equation

WorkJustification

49 = 7cgiven equation

Bell Quiz

Multiplicative Inverse Property and

Multiplication Property of Equality

Substitution

= - 3 Multiplicative Identity Property

49/7 = 7c/7Division Property of Equality

7 = 1cSubstitution

7 = c Multiplicative Identity Property

C = 7 Symmetric Property of Equality

Solving Equations 2

Solve the following inequalities. Justify each step.

Graph each answer on a number line.

1. WorkJustification

n – 7 > -5given inequality

WorkJustification

14 + p < 20given equation

Bell Quiz

n – 7 + 7 > - 5 + 7Addition Property of Inequalities

n + 0 > 2Substitution

n > 2 Additive Identity Property

p + 14 < 20 Commutative Property of Addition

p + 14 – 14 < 20- 14Subtraction Property of Inequalities

p + 0 < 6 Substitution

Solving Inequalities 1

Solve the following inequalities. Justify each step.

Graph each answer on a number line.

1. WorkJustification

5x < 45given inequality

WorkJustification

given equation

Bell Quiz

5x/5 < 45/5Division Property of Inequalities

1n < 9Substitution

N < 9Multiplicative Identity Property

Division Property of Inequalities

1x>-6 Multiplication by a negative quantity property for inequalities and Substitution

x > -6 Multiplicative Identity Property

Solving Inequalities 2