10
QuizMultiple Choice

Adding and Subtracting Expressions — Quiz

Question 10 • Grade 7 Mathematics

What is the simplest form of the expression open paren 14 point 2 A plus 9 point 8 b close paren minus open paren 13 point 1 b minus 0 point 2 A close paren minus open paren 3 point 7 A plus 4 point 8 b close paren ?

Answer
A
18 point 1 A plus 27 point 7 b
B
10 point 7 A plus 27 point 7 b
C
10 point 7 A minus 8 point 1 b
D
18 point 1 A minus 8 point 1 b

Explanation

Distribute the minus signs: the middle parentheses become −13.1b + 0.2A, and the last become −3.7A − 4.8b. Combine like terms: (14.2 + 0.2 − 3.7)A = 10.7A, and (9.8 − 13.1 − 4.8)b = −8.1b. The simplest form is 10.7A − 8.1b, choice C.

AI-written and checked against the verified answer.