Writing and Solving Linear Equations

• You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

• Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• The sum of three consecutive numbers is 72. What are the smallest of these numbers?

• The sum of three consecutive even numbers is 48. What are the smallest of these numbers?

• Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?

• One angle is five less than three times the size of another angle. Together they have a sum of ˚. What are the sizes of each angle? 𝟏𝟒𝟑

• Given a right triangle, find the size of the angles if one angle is ten more than four times the other angle and the third angle is the right angle.

• A pair of congruent angles are described as follows: the measure of one angle is three more than twice a number and the other angle’s measure is . less than three 𝟓𝟒 𝟓times the number. Determine the size of the angles.

• A triangle has angles described as follows: the first angle is four more than seven times a number, another angle is four less than the first and the third angle is twice as large as the first. What are the sizes of each of the angles?

• One angle is one less than six times the size of another. The two angles are complementary angles. Find the size of each angle.