Solving Equations and Word Problems

The video tutorial covers solving various types of equations, including those with fractions and decimals. It introduces techniques for solving linear equations and includes activities where students create and solve story problems using equations. The lesson emphasizes understanding the operations needed to isolate variables and solve for unknowns.

What is the first step in solving the equation 700s = 10m?

• Add 10 to both sides

• Convert 700s to a fraction

• Multiply both sides by 10

• Subtract 700 from both sides

How do you isolate t in the equation 10.1 = t + 7.2?

• Divide both sides by 10

• Multiply both sides by 10

• Subtract 7.2 from both sides

• Add 7.2 to both sides

What operation would you use to solve 35 = 7x?

• Division

• Multiplication

• Addition

• Subtraction

In the equation 7x = 7.7, what is the value of x?

• 7.7

• 0.11

• 0.7

• 1.1

How do you solve for x in the equation 310x = 2.1?

• Multiply both sides by 310

• Subtract 310 from both sides

• Divide both sides by 310

• Add 2.1 to both sides

In a story problem, if 1/3 of a book is 45 pages, how many pages are in the whole book?

• 45

• 90

• 135

• 150

What is the unknown value in a magic square if the sum of each row, column, and diagonal is 75?

• 14

• 12

• 13

• 15

If a pack of gum costs $0.70 and the total cost is $12, what is the cost of the other item?

• $11.30

• $12.00

• $12.70

• $11.00

How do you solve the equation 1/4x = 3/2 for x?

• Divide both sides by 1/4

• Multiply both sides by 4

• Divide both sides by 4

• Multiply both sides by 1/4

In a story problem, if Camila read 1/3 of her book on Saturday, how many pages did she read if the book has 135 pages?

• 45

• 30

• 90

• 135