Equations with Unknowns in Context

A farmer has a certain number of chickens. If he buys 12 more chickens, he will have 30 chickens in total. Write an equation to find the number of chickens he currently has and solve it.

Answer explanation

The answer explanation goes here.

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DOK Level 3: Strategic Thinking

Linda had some candies. After giving away 15 candies to her friends, she has 10 candies left. Write an equation to find out how many candies Linda originally had and solve it.

Answer explanation

The correct equation is x - 15 = 10 because Linda had some candies, gave away 15, and was left with 10. Solving this equation gives x = 25, which means Linda originally had 25 candies.

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DOK Level 3: Strategic Thinking

A rectangle's length is three times its width. If the perimeter of the rectangle is 32 meters, write an equation to find the width of the rectangle.

Answer explanation

The correct equation for the perimeter of the rectangle is 2(x + 3x) = 32, where x represents the width of the rectangle. This equation accounts for the length being three times the width.

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DOK Level 4: Extended Thinking

Answer explanation

The correct equation to find the total number of books the school originally had is x = 4 * 60 + 20.

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DOK Level 4: Extended Thinking

A baker used some flour to make cakes. If he used 8 kilograms of flour for each cake and made 5 cakes, he would have 10 kilograms of flour left. Write an equation to find out how much flour he had initially.

Answer explanation

Insert your answer explanation here.

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DOK Level 3: Strategic Thinking

Answer explanation

Choose the equation where the total amount collected is divided by 5 charities to get 9 each.

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DOK Level 4: Extended Thinking

Answer explanation

Choose the equation where 1/4 of the tank plus 10 liters equals half the tank capacity.

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DOK Level 4: Extended Thinking

In a math competition, each correct answer scores 5 points and each wrong answer deducts 2 points. If a student answered 20 questions and scored 70 points, write an equation to find the number of correct answers.

Answer explanation

The correct equation to find the number of correct answers is 5x - 2(20 - x) = 70, where x represents the number of correct answers.

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DOK Level 3: Strategic Thinking

What is the equation of a line when m = -3 and b = 5?

• y = -3x + 5

• y = -3x - 5

• y = 5x + 3

• y = -5x - 3

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

• m=4, b=-x
• m=-x, b=4
• m=1, b=4
• m=-1, b=4