1. Unit Test #1 Number 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
Expression
Identify the Coefficient(s)
Identify the Constant Term(s) a) xy 1
none b)
2x2 – 5x + 6
2, -5 6

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

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 = 4x2 – 2x
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 = = $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).