Solving Multi-Step Equations with the Distributive Property

What is the main goal of this lesson?

• To learn how to solve equations using the quadratic formula.

• To learn about the properties of logarithms.

• To understand the concept of limits in calculus.

• To solve multi-step equations using the distributive property.

When using the distributive property, what is a common mistake to avoid?

• Adding instead of multiplying.

• Forgetting to distribute to the second term inside the parentheses.

• Forgetting to multiply the variable.

• Using the wrong variable.

What is the result of distributing 4 to the expression (2x + 9)?

• 8x + 36

• 2x + 36

• 6x + 13

• 4x + 9

In the equation 4(5x + 6) = 12, what is the first step to solve it?

• Divide both sides by 4.

• Combine like terms.

• Subtract 6 from both sides.

• Distribute the 4 to both terms inside the parentheses.

After distributing and combining like terms, what is the next step in solving an equation?

• Simplify the exponents.

• Isolate the variable.

• Multiply the coefficients.

• Add the constants.

What is the solution to the equation 6x - 30 = 18?

• x = 6

• x = 3

• x = 8

• x = 5

What is a common mistake when solving multi-step equations?

• Forgetting to distribute to the second term inside the parentheses.

• Using the wrong constant.

• Forgetting to add the variable.

• Multiplying instead of dividing.

In the word problem involving three friends at a coffee shop, what is the cost of one donut?

• $2.50

• $2.00

• $3.00

• $1.50

How do you set up the equation for the word problem involving two brothers buying hiking boots and canteens?

• 2(34c + 2) = 98

• 34 + 2c = 98

• 2(34 + c) = 98

• 2(34 + 2c) = 98

What is the cost of one canteen in the word problem involving two brothers?

• $7.00

• $6.50

• $8.00

• $7.50