Bell Quiz Solving Equations 1

Solve the following equations. Justify each step.

1. Work Justification -46 + q = 5 given equation

2. Work Justification

m + 20 = 3 given equation

-46 + 46 + q = 5 + 46 Addition Property of Equality0 + q = 51 Substitutionq = 51 Additive Identity Property

m + 20 - 20 = 3 - 20 Subtraction Property of Equalitym + 0 = -17 Substitutionm = -17 Additive Identity Property

Bell Quiz Solving Equations 2

Solve the following equations. Justify each step.

1. Work Justification given equation

2. Work Justification

49 = 7c given equation

Multiplicative Inverse Property and Multiplication Property of Equality Substitution

= - 3 Multiplicative Identity Property

49/7 = 7c/7 Division Property of Equality7 = 1c Substitution7 = c Multiplicative Identity PropertyC = 7 Symmetric Property of Equality

Bell Quiz Solving Inequalities 1

Solve the following inequalities. Justify each step. Graph each answer on a number line.

1. Work Justification n – 7 > -5 given inequality

2. Work Justification 14 + p < 20 given equation

n – 7 + 7 > - 5 + 7 Addition Property of Inequalitiesn + 0 > 2 Substitutionn > 2 Additive Identity Property

p + 14 < 20 Commutative Property of Additionp + 14 – 14 < 20 - 14 Subtraction Property of Inequalitiesp + 0 < 6 Substitutionp < 6 Additive Identity Property

Bell Quiz Solving Inequalities 2

Solve the following inequalities. Justify each step. Graph each answer on a number line.

1. Work Justification 5x < 45 given inequality

2. Work Justificationgiven equation

5x/5 < 45/5 Division Property of Inequalities1n < 9 SubstitutionN < 9 Multiplicative Identity Property

Division Property of Inequalities

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

x > -6 Multiplicative Identity Property