Simplified Expression Activity

For each problem, match the justification to the problem step.

Problem 1 Justification
4 + [2 (1+7) - 1]
4 + [2 (8) - 1]
4+[16-1]
4+[15]
19
Simplify the expression within the grouping
symbols.
Combine like terms.
Multiply within the grouping symbols.
Combine like terms within the innermost
grouping symbols.
Start with a given expression.
Problem 2 Justification
7-(3x2)+4
7-(6)+4
1+4
5
Combine like terms.
Start with a given expression.
Combine like terms.
Simplify the expression within the grouping
symbols.
Problem 3 Justification
(3+2)+(12-7)
5+(12-7)
5+5
10
Simplify the expression within the second set
of grouping symbols.
Combine like terms.
Start with a given expression.
Simplify the expression within the first set of
grouping symbols.