Properties of Equality
What is a balanced equation?
same thing on both sides of the equal sign
Solve for x
7x = 35
x = 5
Which is a solution to 3x = 33
x = 10 or 11 or 12
x = 11
Using an inequality sign, write
x is longer than 5
x greater than 5
IN OUT
1 5
2 10
3
What is the rule? Finish the table.
times 5, 15
Which property of equality is shown here?
3x3 - 3 = 9-3
subtraction property of equality
Solve for x
x + 8.5 = 9.3
x = 0.8
Which is a solution to 3x - 4 = 26
x = 10 or 11 or 12
x = 10
Using an inequality sign, write
x is at least 5
x greater than or equal to 5
IN OUT
10 5
20 15
30
What is the rule? Finish the table.
minus 5, 25
Which property of equality is shown here?
3x3 x 3 = 9 x 3
multiplication property of equality
Solve for x
x / 15 = 8
x = 120
Which is a solution to x less than 5
x = 4, 5, 6
x = 4
Using an inequality sign, write
x is shorter than 5
x less than 5
IN OUT
10 2
20 4
30
What is the rule? Finish the table.
divide by 5, 6
Which property of equality is shown here?
3x3 + 3 = 9 + 3
addition property of equality
Solve for x
x - 8.5 = 9.3
x = 17.8
Which is a solution to x less than or equal to 10
x = 9, 10, 11
9 and 10
Using an inequality sign, write
x can go up to 5
x less than or equal to 5
IN OUT
1 6
2 7
3
What is the rule? Finish the table.
add 5, 8
Which property of equality is shown here?
3x3 / 3 = 9 / 3
division property of equality
Tell me step by step how to solve for a variable.
separate both sides of the equation, get the variable a lone by doing the opposite sign, do the same to both sides, solve
Write 3 solutions to x is greater than or equal to -1
-1, 0, any whole number
Using an inequality sign, write
x is not 5
x not equal to 5
What is an input and output table?
a table that uses patterns to show inputs and outputs on numbers.