Solving Systems of Equations in Word Problems

The video tutorial covers solving word problems using systems of equations. It begins with an introduction to the concept, followed by a detailed walkthrough of two problems: one involving savings accounts of Christian and Mark, and another about Elisha's drawing time management. The tutorial emphasizes setting up equations, using variables, and solving for unknowns. It concludes with a review and encourages viewers to revisit the material for better understanding.

What is the first step in solving an equation word problem?

• Assigning variables to unknowns

• Guessing the answer

• Ignoring the problem

• Using a calculator

Christian starts with $50 and deposits $10 each month. What is the equation representing his savings?

• y = 10 + 50x

• y = 50 + 10

• y = 10x + 50

• y = 50x + 10

Mark starts with $30 and deposits $15 each month. What is the equation representing his savings?

• y = 15x + 30

• y = 30x + 15

• y = 15 + 30x

• y = 30 + 15

After how many months will Christian and Mark have the same amount of money in their savings?

• 5 months

• 4 months

• 3 months

• 2 months

What will be the total amount in Christian and Mark's savings after 4 months?

• $90

• $100

• $80

• $110

How long does it take Elijah to sketch a black and white drawing?

• 20 minutes

• 15 minutes

• 10 minutes

• 5 minutes

How long does it take Elijah to sketch a color pencil drawing?

• 20 minutes

• 25 minutes

• 30 minutes

• 35 minutes

How many total drawings did Elijah make over the weekend?

• 7 drawings

• 8 drawings

• 9 drawings

• 10 drawings

How many black and white drawings did Elijah make?

• 7

• 8

• 5

• 6

How many color pencil drawings did Elijah make?

• 2

• 3

• 1

• 4