Properties of Numbers and Equality

Choose the property of equality used to make the equivalent equation.

5x = 18 to 5x + 2= 18 + 2

3(p - 8) = 1

9 + 4y = 7

9 + 4y - 9 = 7 - 9

 $\frac{2a}{3}=\ 10$  

(3) $\frac{2a}{3}=\ \left(3\right)10$  

Write an equivalent equation by making the stated operations.

2y = 14

subtract 5 from each side.

Write an equivalent equation by making the stated operations.

5(c-2) = 20

divide 5 from each side

Write an equivalent equation by making the stated operations.

8p + 11 = 2

multiply 3 to each side

State the operations and properties of equality used to make the equivalent equations.

7w + 14 = 28

w + 2 = 4

Describe the difference between solving the equation 2(x + 4) = 6 if you first divide each side by 2 and then subtract 4 from each side or if you subtract 4 from each side first and then divide each side by 2.

Provide the missing justification and write the solution. Then check the solution in the space provided.

2a + 3 = 5

2a + 3 - 3 = 5 - 3 ________A______

2a =2 _______B________

2 2 _______C______

Tell the answer and then tell me what the justification of A, B, and C are. (List the properties)