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Unit Test #1 Number Sense

Unit Test #1 Number Sense. Solutions. Part A – Knowledge & Understanding. Fill in the Blanks Given 2(-3) 7 Exponent  7 Base  -3 Express as a single power p 12 a 11 y 36 Simplify the following 11x + 8 6 x 2 y 3 z – 2 x 2 y 3 z + 5 x 2 yz 3 = 4 x 2 y 3 z + 5 x 2 yz 3

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Unit Test #1 Number Sense

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  1. Unit Test #1Number Sense Solutions

  2. Part A – Knowledge & Understanding • Fill in the Blanks • Given 2(-3)7 • Exponent  7 • Base  -3 • Express as a single power • p12 • a11 • y36 • Simplify the following • 11x + 8 • 6x2y3z – 2x2y3z + 5x2yz3 = 4x2y3z + 5x2yz3 • Write a simplified algebraic expression • 2x2 + 3x – 2 • -2x2 – 2x - 1

  3. Part A – Knowledge & Understanding 2. Complete the following chart

  4. Part A – Knowledge & Understanding 3. Use the exponent laws to simplify the following:

  5. Part A – Knowledge & Understanding • Expand and simplify each of the following: • -5(3x – 7) = -15x + 35 • 2(x – 1) – (x + 4) + 3(x + 1) = 2x – 2 – x – 4 + 3x + 3 = 4x - 3

  6. Part B - Communication 5. Draw an algebra tile model that would represent the expression 2x(2x – 1) and its expansion. = 4x2 – 2x

  7. Part C – Application (Level 2) 6. Robert is making a quilt. How many squares does Robert need to cover a crib with the dimensions shown? Each square is 5 inches2. Needs 4 squares Needs 3 squares Therefore, he needs 12 squares to make the quilt. **Could also calculate area and divide by 5 (because of the wording .... )**

  8. Part C – Application (Level 2) 7. Determine a simplified algebraic expression for the area of the rectangle below.

  9. Part C – Application (Level 3) • Nick is on a fishing trip. He has to pay $40 for his fishing license. He then has to pay $1 for every trout he catches and $3 for every salmon. a) Determine the total cost of his trip if he catches 7 trout and 3 salmon b) Determine an algebraic expression to determine the total cost of Nick’s trip. Use t to represent the number of trout he catches and s to represent the number of salmon. $40 Cost = 40 + 7 + 9 = $56 7(1) = $7 3(3) = $9 Cost = 40 + t + 3s

  10. Part C – Application (Level 4) 9. Exceeds expectations – binomial multiplied by a binomial (2x – 3)(x + 4) = 2x2 + 5x - 12

  11. Part C – Application (Level 4) 10. Write an expression that contains: a fraction, uses three exponent laws, contains one number, uses two variables, and evaluates to a half (1/2).

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