1
[ab - \{-5ac + 7(d - a) + 4ca + 7d\} - 6ba] + 13a
Chapter 11 · Equations and Problems
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 Review: Chapters 1 to 11, exercise 17
Remove the parentheses and collect terms.
From Uniform Motion, exercise 9
Uniform motion problems. Make a table of time, rate, and distance.
2
(144 miles apart, toward each other.) A travels 2 miles per hour less than B, and they meet in 9 hours. Find each rate.
From Review: Chapters 1 to 11, exercise 12
Simplify, add, and subtract.
3
What must be added to 27xy + 13z - 12 + ab to give 0?
From Uniform Motion, exercise 3
Uniform motion problems. Make a table of time, rate, and distance.
4
(Opposite directions.) A travels 2 miles per hour more than B. After 8 hours they are 96 miles apart. Find each rate.
From Review: Chapters 1 to 11, exercise 36
Find the value of y.
5
Find y: 6y - 20 + 5y - 18 = 36y - 4 - 40y + 9
From Equations with Letter Coefficients, exercise 4
Solve for x and check.
6
Solve for x: cx + c^2 = 6c^3
From Uniform Motion, exercise 16
Uniform motion problems. Make a table of time, rate, and distance.
7
(144 miles apart, toward each other.) A is delayed 3 hours and B 5 hours; their rates are 7 and 9 miles per hour. How many hours from the start until they meet?
From Review: Chapters 1 to 11, exercise 54
Problems.
8
Two people are 42 and 15 years old. In how many years will the elder be twice as old as the younger?
From Review: Chapters 1 to 11, exercise 40
Find the value of y.
9
Find y: (y - 3)^3 = (y^2 - 6y + 9)(5 + y) - 8y^2
From Review: Chapters 1 to 11, exercise 4
Simplify, add, and subtract.
10
Add a^3 - 3 + 4a^2 - a, \;-a + 3a^2 - 5a^3, \;-3a^2 + 6a^3 - 2a + 8, \;-a - 5a^2 - 2a^3 + 5, and 2a^3 - 3a^2 + 4a - 5.