Unit Test #1 Number Sense

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Presentation transcript:

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 p12 a11 y36 Simplify the following 11x + 8 6x2y3z – 2x2y3z + 5x2yz3 = 4x2y3z + 5x2yz3 Write a simplified algebraic expression 2x2 + 3x – 2 -2x2 – 2x - 1

Part A – Knowledge & Understanding 2. Complete the following chart Expression Identify the Coefficient(s) Identify the Constant Term(s) a) xy 1 none b) 2x2 – 5x + 6 2, -5 6

Part A – Knowledge & Understanding 3. Use the exponent laws to simplify the following: a) (-4p2)(-4p3) = 16p5 b) (3x5)7 = 2187x35 c) d)

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

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

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 .... )**

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

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

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

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).