7th Grade Math

(Marvins-Underground-K-12) #1
68 Expressions and Patterns

Practice


Chapter Test


Write each power as a product of the same
factor. Then evaluate the expression.


  1. 35 2. 154

  2. Write 2 · 2 · 2 · 2 · 2 ·2 in exponential form.

  3. MEASUREMENT Gregory wants to stain his
    15-foot-by-15-foot deck. Is one can of the
    stain shown enough to cover his entire
    deck? Explain your reasoning.

  4. MULTIPLE CHOICE Which of the following is
    the value of 8 + (12 ÷ 3)^3 - 5 × 9?
    A. 603
    B. 135
    C. 27
    D. 19


Evaluate each expression if x = 12, y = 5, and
z = 3.


  1. x - 9 7. 8 y

  2. (y - z)^3 9. (x + z) ÷ y

  3. SAVINGS Shannon is saving $24 per month
    to buy a new digital camera. Use the
    Distributive Property to mentally find how
    much she will have saved after 7 months.
    Justify each step.


Evaluate each expression mentally. Justify
each step.


  1. 13 + (34 + 17) 12. 50 · (17 · 2)
    13. SCHOOL The table shows the number of
    hours Teodoro spent studying for his
    biology test over four days.


Day Number of Hours Spent Studying
Monday 0.5
Tuesday 0.75
Wednesday 1.0
Thursday 1.25

If the pattern continues, how many hours
will Teodoro study on Sunday?

Describe the relationship between the terms
in each sequence. Then write the next three
terms in each sequence.


  1. 7, 16, 25, 34, ... 15. 59, 72, 85, 98, ...

  2. PHOTOGRAPHY Suzi cut a photograph in
    the shape of a square to place in her
    scrapbook. If the photograph has an area
    of 121 square inches, what are the
    dimensions of the photograph?


Estimate each square root to the nearest
whole number.


  1. √  7 18. √  84 19. √  570

  2. EXTENDED RESPONSE Jacob had
    10 points on his game card. An
    additional 5 points is added to his game
    card every time he plays a game.
    Part A Write an expression that
    represents the total number of points Jacob
    has on his card for playing any number of
    games.
    Part B How many points would Jacob
    have on his card if he has played 12 games?
    Explain how you solved.


064_068_C1_SGR_895130.indd 68 12/29/09 12:31 PM

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