1
A is 20 years older than B. In 10 years A will be twice as old as B. Find each age now.
Chapter 9 · Parentheses in Equations
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 Problems with Two or More Unknowns, exercise 29
Represent every unknown with one letter, write an equation, solve, and check.
From Equations with Parentheses, exercise 7
Remove parentheses carefully, then solve and check.
2
Solve 4 - 2(4y - 3) = 3(y - 5). What is y?
From Problems with Two or More Unknowns, exercise 12
Represent every unknown with one letter, write an equation, solve, and check.
3
The square of a number plus the square of the next consecutive number is 17 greater than twice the square of the smaller number. Find the numbers.
From Equations with Parentheses, exercise 6
Remove parentheses carefully, then solve and check.
4
Solve 9y - 3(2y - 4) = 2(5 - 4y) + 2. What is y?
From Binomials as Quantities, exercise 14
Represent each quantity.
5
A picture is 10 inches wide and 12 inches long and has a frame 2 inches wide. What are the outside dimensions of the frame?
From Binomials as Quantities, exercise 7
Represent each quantity.
6
What is the total cost of x hats at a cents each and y hats at b cents each?
From Problems with Two or More Unknowns, exercise 32
Represent every unknown with one letter, write an equation, solve, and check.
7
Part of $800 is invested at 3% and the rest at 4%. The yearly income from both is $30. Find each investment.
From Equations with Parentheses, exercise 2
Remove parentheses carefully, then solve and check.
8
Solve 3 + 2(x - 3) = 1. What is x?
From Equations with Parentheses, exercise 18
Remove parentheses carefully, then solve and check.
9
Solve (k - 7)(5 + k) - (k - 5)(k + 7) + 5 = 0. What is k?
From Problems with Two or More Unknowns, exercise 5
Represent every unknown with one letter, write an equation, solve, and check.
10
The sum of two numbers is 88. Three times the greater equals five times the less, plus 29. Find the numbers.