1
In how many years will $520, at 6\tfrac{1}{2}% simple interest, gain $169?
Chapter 1 · Introduction to Algebra
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 The Usefulness of Symbols, exercise 13
From Evaluating Expressions, exercise 11
In Exercises 1–23, let a = 3, b = 1, c = 5, d = 7, and e = 2. Substitute each value and simplify.
2
\dfrac{cd + ae + ce}{a - b + c}
From Evaluating Expressions, exercise 12
In Exercises 1–23, let a = 3, b = 1, c = 5, d = 7, and e = 2. Substitute each value and simplify.
3
\dfrac{a^2 + b^2 + c^2 + d^2}{a + b + c + d}
From Order of Operations, exercise 14
Simplify the following:
4
(5 + 3)(5 - 3) \div 5 - 3
From Order of Operations, exercise 3
Simplify the following:
5
14 - (16 - 8) + (12 - 4)
From Factors, Exponents, and Coefficients, exercise 6
Write in symbols:
6
The product of four times a squared and b.
From Symbols, exercise 1
7
Express 4h + 3m in seconds, if h and m stand for the number of seconds in an hour and in a minute respectively.
From The Usefulness of Symbols, exercise 21
8
The perimeter of the rectangle formed by placing two equal squares side by side is 198 inches. Find the dimensions and the perimeter of each square.
From Factors, Exponents, and Coefficients, exercise 11
Write in symbols:
9
The product of the sum of a and b by their difference.
From The Usefulness of Symbols, exercise 3
10
One number is seven times another. Their sum is 72. Find each.