1
(4y - 7x) - \{3x - [4x + (7y - 4x) - (3y - 3x)]\}
Chapter 7 · Parentheses
Chapter challenge
Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.
0first-try
0of 10 done
From Removing Parentheses, exercise 19
Remove the parentheses and combine like terms.
From Removing Parentheses, exercise 1
Remove the parentheses and combine like terms.
2
14 - (6 - 3) - 5
From Putting Terms in Parentheses, exercise 2
Group the terms.
3
Write 12ab + x^2 - 9b^2 - 4a^2 as (\;\ldots\;) - (\;\ldots\;): the x and y terms inside a parenthesis preceded by +, and the a and b terms inside a parenthesis preceded by -. What goes inside each?
From Removing Parentheses, exercise 21
Remove the parentheses inside the brackets and simplify what's left.
4
Remove the inner parentheses and simplify: [4x + (3z - 5y)] and [4x - (3z - 5y)].
From Removing Parentheses, exercise 20
Remove the parentheses inside the brackets and simplify what's left.
5
Remove the inner parentheses and simplify: [(a + b) + c] and [(a + b) - c].
From Removing Parentheses, exercise 14
Remove the parentheses and combine like terms.
6
[(a + 3) - (x - 5)] - [a + 3 + (x - 5)]
From Removing Parentheses, exercise 13
Remove the parentheses and combine like terms.
7
[3x - (2y - z)] - [-(3y - 2x) - 5x]
From Putting Terms in Parentheses, exercise 6
Group the terms.
8
Write 4ab + x^2 - 4b^2 + y^2 - a^2 - 2xy as (\;\ldots\;) - (\;\ldots\;): the x and y terms inside a parenthesis preceded by +, and the a and b terms inside a parenthesis preceded by -. What goes inside each?
From Putting Terms in Parentheses, exercise 4
Group the terms.
9
Write 10ab + x^2 - a^2 - 25b^2 as (\;\ldots\;) - (\;\ldots\;): the x and y terms inside a parenthesis preceded by +, and the a and b terms inside a parenthesis preceded by -. What goes inside each?
From Removing Parentheses, exercise 17
Remove the parentheses and combine like terms.
10
\{4a - [2a - (3a - 2b) + 4a] - (4b - 6)\}