Grade 7

Two-Step Equations

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the greatest (or least) possible values for x. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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Circle Radius

Directions: What is a radius for a circle that has an area of 20 to 25 square feet? Source: Nathan Charlton

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Circles and Square

Directions: The diagram shows a square and four semicircles formed using each side of the square as a diameter. What fraction of the square is shaded? Source: Dylan Kane

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Equivalent Ratios

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make as many ratios as you can that are equivalent to 2:3. Source: Robert Kaplinsky

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