Understanding Inverses and Expressions

Mr. Lopez teaches Grade 7 students about generating equivalent expressions using additive and multiplicative inverses. The lesson covers the differences between these inverses, with examples demonstrating how to find and use them in mathematical operations. Students learn to apply these concepts in division and multiplication problems, and solve equations involving inverses. The lesson concludes with a problem-solving exercise involving a stick and string, reinforcing the application of these mathematical principles.

What is the result when you add a number to its additive inverse?

• 0

• Negative of the number

• 1

• The number itself

How do you find the multiplicative inverse of a number?

• Add 1 to the number

• Subtract 1 from the number

• Take the reciprocal of the number

• Multiply the number by 2

What is the multiplicative inverse of -2?

• 2

• -1/2

• 1/2

• -2

If 12 divided by 3 is expressed using multiplicative inverse, what is the equivalent expression?

• 12 + 3

• 12 - 3

• 12 x 1/3

• 12 x 3

What is the result of 18 divided by -2 using multiplicative inverse?

• 9

• -9

• 18

• -18

How do you simplify the expression 5x divided by x?

• 1

• x

• 0

• 5

What is the result of multiplying -3 by 8x?

• 24x

• -3x

• -24x

• 3x

In the expression 4x times -5 times -2, what is the final result?

• -40x

• 20x

• 40x

• -20x

If a stick is x meters long and a string is four times as long, what is the expression for the string's length?

• 4x

• x/4

• 4

• x

Given the total length of a stick and string is 15 meters, and the string is four times the stick's length, what is the length of the string?

• 4 meters

• 3 meters

• 12 meters

• 15 meters