7th Grade Math

Test PracticeT

56 Expressions and Patterns

C 30. OPEN ENDED Write a number whose square is between 100 and 150.

31. CHALLENGE Use the diagram that shows the area of a dog’s pen.
    a. Could the area of the

14 ft

6 ft

dog’s pen be made

larger using the same

amount of fencing?

Explain.

b. Describe the largest

rectangular pen area

possible using the same

amount of fencing. How

do the perimeter and area compare to the original pen?

32. REASONING What is the value of ( √n  )^2? Support your answer with an
    example.


33. CHALLENGE Which expression is √  25 · 4 equal to: √  25 · √ 4 or √ 25 +
    √ 4? Explain.


34. E WRITE MATH Explain why raising a number to the second power
    is called squaring the number. Then explain how taking a square root
    and squaring a number are different.


35. Which model represents the square
    of 4?
    A.

B.

C.

D.

36. Which measure can be the area of a
    square if the measure of the side length
    is a whole number?
    F. 836 sq ft H. 1,100 sq ft
    G. 949 sq ft I. 1,225 sq ft
    37. Theresa’s mother is making her a quilt
    with the letter T as shown. Each square
    of the letter T has an area of 25 inches.

What is the perimeter of the figure T?

A. 20 inches C. 60 inches

B. 50 inches D. 100 inches

38. Which of the following numbers is NOT
    a perfect square?
    F. 121 H. 182
    G. 144 I. 225

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