Mark Twain I.S. 239Name ______

7C/ID____Due: Wednesday, 1/230/13

Exam3 Review Sheet

Monomials and Polynomials

Refer to your class notes, worksheets, and homework as well as the following textbook pages: 74-76, 80, 422-423, 428-429

Properties of Numbers,

Translating & Evaluating Algebraic Expressions

Adding, Subtracting, Factoring and Expanding Polynomials

Problem Solving with PolynomialsMatching Algebraic Expressions to Situations

Directions: Solve all problems on a separate sheet of paper. Make sure to show all work, simplify fully, and box your final answer.

I. Properties – Match the examples in Column A with the properties in Column B.

____ 1. (7 + d) + n = (d + 7) +nA. Zero Property of Multiplication

____ 2.a × 0 = 0B. Distributive Property

____ 3. 6 + (4 + 7) = (6 + 4) +7C. Associative Property of Addition

____ 4. 4 × 1 = 4D. Commutative Property of Addition

____ 5. t(s + r) = ts + trE. Identity Property of Multiplication

____ 6. b + 0 = bF. Identity Property of Addition

II. Evaluate each expression, when a = 4, b = 2, c = -3, d = 0

1.4.

2.5.

3. 6.

III. Fully simplify each expression.

  1. 5.
  1. 6.

3.

4.

IV. Use the distributive property to factor or expand each expression to generate an equivalent expression.

  1. 4. d + 5d
  1. 5.
  1. 6.

V. Matching Algebraic Expressions to Real-World Situations

1. Match the following equation to the correct situation: 8%(p) + p = 1.08p

A.The amount that Ella paid for books was 8% of p.

B.The amount that Sarah paid for a shirt with 8% tax on p.

C.The amount that Juan owed after paying a 8% deposit on p.

2. Match the following equation to the correct situation.7t - t = 6t

A.The number of grapes left in the fruit drawer after taking out one of 7 bags of grapes.

B.The amount of gasoline in a car when one gallon more than 7 has been used.

C.The number of girls in a caravan of cars when one more car with 7 girls is added to

the caravan.

D.The amount of garbage in a garbage truck after one load has been dumped from 7

loads.

3. Match the following equation to the correct situation:s - s(21%) = s(79%)

A.The amount that Annie owes on her car was 21% of s.

B.The amount that Katie paid for a pair of jeans with 21% tax on s.

C.The price for a shirt that originally cost s after a 21% discount.

4. Richard bought a new video game that was discounted by 27%. Write two equivalent expressions that could be used to express the price of the video game after the discount is applied.

5. The membership in the chess club at Mark Twain increased by 16% from last year to this year. Write two equivalent expressions that could be used to find the number of members in the club this year.

VI. Problem Solving

  1. A rectangle has a length of (5c + 20) units. Its width is (2c – 25). In simplest form, what polynomial can express the rectangle’s perimeter? Hint:

2. Parallelogram ABCD has an area of (1 sq. cm. If the base of the parallelogram is 6centimeters, what is the length of the height? Hint: A = bh