Angles and Interest Calculations

The video tutorial covers various geometry and algebra problems for seventh-grade students. It explains how to draw unique triangles with specific side lengths, create mirror image triangles with given angles, and why a triangle cannot have angles summing over 180 degrees. It also identifies complementary angles in intersecting segments, provides steps to solve equations for x, and calculates interest over one and two years with a given rate.

How many unique triangles can be formed with sides measuring 7 cm, 4 cm, and 5 cm?

• Two

• Three

• Four

• One

What is the sum of the angles in any triangle?

• 90 degrees

• 360 degrees

• 270 degrees

• 180 degrees

Which of the following angle sets cannot form a triangle?

• 80, 70, 30

• 90, 30, 100

• 90, 45, 45

• 60, 60, 60

If two angles are complementary, what is their sum?

• 45 degrees

• 90 degrees

• 360 degrees

• 180 degrees

Which of the following pairs of angles are complementary?

• 100 and 80

• 90 and 90

• 60 and 30

• 45 and 45

What operation is needed to isolate x in the equation 3x = 9?

• Subtract 3

• Multiply by 3

• Divide by 3

• Add 3

If you deposit $300 at a 6% interest rate, how much interest will you earn in one year?

• $6

• $24

• $12

• $18

After two years, how much will be in the account if $300 is deposited at a 6% interest rate?

• $350

• $337.08

• $330

• $318

What is the first step to solve the equation x/3 = 9?

• Multiply both sides by 3

• Add 3 to both sides

• Divide both sides by 3

• Subtract 3 from both sides

Which operation will help solve the equation -3x = 9 for x?

• Add 3

• Subtract 3

• Multiply by -3

• Divide by -3