Solving Linear Equations and Expressions

This lesson covers equal and equivalent expressions through various exercises. Students draw diagrams to compare expressions like x+3 and 2x, analyze the equivalence of expressions such as 4x and 15+x, and solve equations to find variable values. The lesson concludes with story problems that require forming and solving equations.

What is the total number of units for x + 3 when x equals 2?

• 7 units

• 5 units

• 4 units

• 6 units

When are the expressions x + 3 and 2x equal?

• When x = 1

• When x = 2

• When x = 4

• When x = 3

For x = 5, do 4x and 15 + x have the same value?

• Only when x = 3

• Only when x = 4

• Yes, they are equal

• No, they are not equal

Why are 4x and 15 + x not equivalent expressions?

• They are equal only when x = 5

• They are not equal for all x

• They are equal for all x

• They are always equal

What is the value of 2b + b when b = 2?

• 5

• 6

• 4

• 3

Are 2b + b and 3b equivalent for all values of b?

• Yes, they are equivalent

• No, they are not equivalent

• Only when b = 1

• Only when b = 2

What is the equation that represents 80% of x equals 100?

• x = 80

• 0.8x = 80

• 0.8x = 100

• x = 100

What is the value of x when 80% of x equals 100?

• 100

• 150

• 80

• 125

How tall is Jada's dog now if it was 5.5 inches tall as a puppy and grew 14.5 inches taller?

• 15 inches

• 20 inches

• 18 inches

• 19 inches

If Lynn picked 9.75 pounds of apples, which is three times the weight Andre picked, how many pounds did Andre pick?

• 3.75 pounds

• 3.25 pounds

• 3.25 pounds

• 3.5 pounds