Problem Solving Chapter 2

Honors Math – Grade 8

A poll reported the approval rating of the CEO of a corporation to be 62%. If the poll is accurate within 2.8%, what are the maximum and minimum approval ratings for the CEO?

Kyle wants to score within 4.5% of 94% on his next test. What are the maximum and minimum scores he is aiming for?

Twelve more than the absolute value of a number decreased by 7 is 19. What are the possible values for the number?

There are three consecutive even integers in counting order whose sum is 102. Find these integers.

The measure of the larger acute angle of a right triangle is twice the measure of the smaller acute angle. Find each measure.

The sum of three consecutive odd integers is 75. Find these integers.

The sum of three consecutive integers is -30. Find these integers.

Jacob worked 68 hours this week. He worked 4 hours less than 3 times the number of hours we worked last week. How many hours did Jacob work last week?

When a number is divided by -7 and the quotient is increased by 12, the result is 3. What is the number?

Nancy is 10 years less than 3 times her daughter’s age. If Nancy is 41 years old, how old is her daughter?

A rectangular field has a perimeter of 126 feet. If the length of the field is 12 feet less than twice the width, what is the area of the field?

A number tripled and then decreased by 5 equals 5 more than double the number. What is the number?

The product of 5 and 2 less than triple a number equals the product of 7 and 8 more than twice the number. What is the number?

The sum of a number and two thirds the number is the same as 4 less than twice the number. What is the number?

Audrey draws a triangle that has these sides: When the length of s is doubled, the new perimeter is twice the old perimeter less 14. What are the lengths of the triangle?

sandss3

2,

2

1,