Solving Basic Algebraic Problems

This video tutorial covers module 11, lesson 11.1 from the sixth-grade GTH textbook. It introduces the concept of equations and expressions, explains how to determine if a number is a solution to an equation, and provides examples and practice problems. The lesson also covers writing equations to represent real-world situations and checking solutions. Key concepts include understanding the difference between expressions and equations, using variables, and applying equations to solve real-world problems.

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

• An expression shows a relationship between two values.

• An equation represents a single value.

• An expression represents a single value.

• An equation cannot contain variables.

If x = 6, is it a solution for the equation x + 9 = 15?

• No, because 6 is not a variable.

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

• Yes, because 6 is a variable.

• Yes, because 6 + 9 equals 15.

Which of the following values is a solution for the equation y / 4 = 32?

• 16

• 128

• 8

• 32

How would you represent the situation where Mark scores 17 points and his team scores the rest to make a total of 46 points?

• p - 17 = 46

• 17 + p = 46

• 17 * p = 46

• p / 17 = 46

If Sarah has $18 left after spending $47, how much did she originally have on her gift card?

• $65

• $18

• $59

• $47

Owen earned $24 in the morning and $38 in the afternoon. What is the total amount he earned?

• $62

• $24

• $38

• $62

If a bus starts with 71 students and 23 get off, how many remain?

• 23

• 71

• 48

• 94

What equation would you use to find the number of rooms per floor if there are 8 floors and 256 rooms in total?

• R / 8 = 256

• 8 * R = 256

• 256 - R = 8

• R + 8 = 256

If a dog weighs 44 pounds and needs to lose weight to reach 37 pounds, how much weight does it need to lose?

• 44 pounds

• 37 pounds

• 7 pounds

• 7 pounds

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

• By multiplying the number by zero.

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

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

• By dividing the number by itself.