1.4 Multi-Step Equations

Fill in the Blanks

If possible and/or necessary, _________________ like terms on the same side of the equation first. Then, _________________ the variable to solve the equation.

Fill in the Blanks

What is the value of x in the equation 4x + 14 + 4x = 38?

Multiple Choice

Which of the following steps should be performed first when solving the equation -12 = 10n - 40n + 3?

• Combine like terms on the right side

• Add 12 to both sides

• Subtract 3 from both sides

• Divide both sides by n

Multiple Choice

What is the solution to the equation (1/2)b + 8 - 10 = 6?

• b = 16

• b = 8

• b = 12

• b = 4

Multiple Choice

After combining like terms, what is the simplified form of the equation -14 = 7w + 2w + 8.5?

• -14 = 9w + 8.5

• -14 = 7w + 8.5

• -14 = 2w + 8.5

• -14 = 9w + 2w

Open Ended

How can you represent the total cost of Calvin's purchase using an equation, and what steps would you take to solve for the cost of each item?

Fill in the Blanks

Solve the multi-step equation: 17n - 23n + 11.5n = 44

Multiple Choice

Which of the following is the correct first step to solve the equation 15 - 8p + 6.75p = 10?

• Combine like terms to get 15 - 1.25p = 10

• Add 8p to both sides

• Subtract 15 from both sides

• Divide both sides by 6.75

Multiple Choice

After solving the equation 18 - 5w + 7w - 4 = 28, what is the value of w?

• 7

• 6

• 8

• 5

Open Ended

What equation can you set up to find the value of x if the perimeter of the rectangle is 65 inches, with side lengths 2x and (3 1/4)x + 1?

Multiple Choice

If the cheeseburger is three times the price of the fries, and the drink and fries are the same price, which equation represents the total cost if the meal is $12.50?

• 3f + f + f = 12.50

• 3f + 2f = 12.50

• f + 3f + 2f = 12.50

• 3f + f + 2f = 12.50

Open Ended

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