Solving Equations with Variables

The video tutorial explains how to determine the number of one and five dollar bills in a jar containing 34 bills totaling $90. It begins by setting up equations to represent the number of each type of bill, using variables and expressions. The tutorial then walks through solving these equations step-by-step, including distributing terms and combining like terms. Finally, the solution is verified by checking that the calculated number of bills matches the total value of $90, ensuring the mathematical approach is correct.

What is the total number of bills in Jose's jar?

• 90

• 34

• 20

• 14

If x represents the number of $1 bills, what expression represents the number of $5 bills?

• 34 - x

• x - 34

• 5x

• x + 5

What is the total value of the bills in Jose's jar?

• $80

• $90

• $34

• $170

Which equation represents the total value of the bills?

• x + 5(34 - x) = 90

• x + 34x = 90

• x + 5x = 90

• 5x + 34 = 90

What is the first step in solving the equation for x?

• Multiply by 34

• Distribute 5

• Add 5 to both sides

• Subtract 34 from both sides

After distributing, what is the equation before combining like terms?

• x + 170 - 5x = 90

• x - 5x = 90

• 5x + 170 = 90

• x + 5x = 90

What is the value of x after solving the equation?

• 34

• 20

• 14

• 90

How many $5 bills does Jose have?

• 20

• 34

• 14

• 90

What is the total value of the $1 bills?

• $20

• $90

• $70

• $14

What is the total value of the $5 bills?

• $14

• $90

• $70

• $20