Solving Equations and Expressions

This video tutorial covers module 11, lesson 11.1 from the sixth-grade GTH textbook. It focuses on writing equations and determining if a number is a solution. The lesson includes examples of substituting values into equations to check for solutions, writing equations to represent real-world situations, and solving practice problems. The tutorial also explains the difference between expressions and equations, providing a comprehensive understanding of these mathematical concepts.

What is the main difference between an expression and an equation?

• An expression shows a relationship between two values.

• An equation represents a single value.

• An equation cannot contain variables.

• An expression represents a single value.

If x + 9 = 15, is x = 6 a solution?

• No, because 6 is greater than 9.

• No, because 6 + 9 does not equal 15.

• Yes, because 6 is less than 15.

• Yes, because 6 + 9 equals 15.

In the equation y / 4 = 32, is y = 8 a solution?

• No, because 8 times 4 equals 32.

• No, because 8 divided by 4 equals 2.

• Yes, because 8 times 4 equals 32.

• Yes, because 8 divided by 4 equals 32.

How would you write an equation for Mark scoring 17 points and his team scoring a total of 46 points?

• p / 17 = 46

• 17 + p = 46

• p - 17 = 46

• 17 * p = 46

If Sarah spent $47 and has $18 left, how much was originally on her gift card?

• $59

• $65

• $47

• $18

Owen earned $24 in the morning and $62 by the afternoon. How much did he earn in the afternoon?

• $62

• $31

• $38

• $24

If a bus started with 71 students and 23 got off, how many are left?

• 48

• 71

• 94

• 23

How can you determine if a number is a solution to an equation?

• By checking if the number is greater than the equation.

• By substituting the number into the equation and checking if it results in a true statement.

• By multiplying the number by the equation.

• By adding the number to both sides of the equation.

If a dog weighs 44 pounds and needs to lose s pounds to weigh 37 pounds, which equation represents this?

• 44 + s = 37

• 44 - s = 37

• s - 44 = 37

• s + 44 = 37

If Cindy is 18 and her dad is 26 years older, how old is her dad?

• 44

• 18

• 26

• 36