Expressions and Equations Mastery Challenge

This video tutorial covers expressions and equations, starting with an introduction to the study guide. It explains how to add and subtract expressions, focusing on identifying like terms. The tutorial then moves on to distributing and factoring expressions, providing examples and explanations. It also covers rewriting expressions in different forms to simplify them. The video includes a detailed guide on solving two-step equations, both basic and advanced, with a focus on simplification. Finally, it addresses creating and solving equations from word problems, offering practical examples.

What is the result of combining the like terms in the expression 5d - d - 7 + 4?

• 4d + 3

• 6d - 3

• 6d + 3

• 4d - 3

How do you simplify the expression 3/4s + 1/4s + 1/2?

• 1s + 4

• 1.5s + 4

• 1s + 1/2

• 1.5s + 1/2

What is the simplified form of the expression 2.5(r - 1)?

• 2.5r - 2.5

• 2.5r + 2.5

• 2.5r - 1

• 2.5r + 1

What is the result of distributing -8 to the expression (3f - 9)?

• -24f - 72

• 24f + 72

• -24f + 72

• 24f - 72

How do you rewrite the expression 5(b + 6) - 3b in its simplest form?

• 2b + 30

• 2b + 30

• 5b + 3b + 30

• 2b + 3

What is the simplified expression for the perimeter of a rectangle with sides x+2 and 2x-3?

• 4x + 6

• 6x - 2

• 4x - 6

• 6x + 2

What is the value of x in the equation -5x + 9 = 24?

• x = 3

• x = -3

• x = 5

• x = -5

Solve for x: 3x + 12 = 48

• x = 36

• x = 12

• x = 16

• x = 10

If the cost of one square foot is represented by x, what is the equation for the total cost including an $80 installation fee for 60 square feet?

• 80 + x = total cost

• 60 + 80x = total cost

• 80x + 60 = total cost

• 80 + 60x = total cost

What is the equation to find the cost of donuts if 3 cartons of milk cost $1.25 each and the total cost is $6.90?

• 3.75 + 6x = 6.90

• 3.75x + 6 = 6.90

• 6 + 3.75x = 6.90

• 6x + 3.75 = 6.90