Algebra Equalities

Which of the following is not a solution to the given equation.

• 3

• -0.5

• 4

• none of the above

Which of the following is one possible solution?

• 2

• -1

• -3

• 6

26 = 5a + 1

• a= 5 ⁴∕₅

• a= no solution

• a= 0

• a= 5

What is the first step in solving the equation?

• Add 4 to each side

• Subtract 4 from each side

• Subtract 2y from each side

• Divide each side by 2y

Match the correct reason for each statement.

a

b

c

f

Distributive Property

Division Property of Equality

Simplify

Addition Property of Equality

Subtraction Property of Equality

Symmetric Property of Equality

Move a property into each box of the reason column to justify each step.

f

b

h

d

Associative Property

Subtraction Property of Equality

Division Property of Equality

Commutative Property

Multiplication Property of Equality

Reflexive Property of Equality

Distributive Property

Addition Property of Equality

Step 2: ​ (a)   ​ Step 3: ​ (b)   Step 4: ​ (c)   Step 5: ​ (d)  

• Division

• Addition

• Multiplication

• Reflexive

• Distributive

-12 + c = 38

• c = -19/6

• c = -456

• c = 26

• c = 50

10 = -7 + b

• b = -17

• b = 3

• b = 17

• b = -3

33 = 4a - 7

• a=-10

• a=10

• a=4.5