Write & Evaluate
What expression can be used to determine the total cost of buying g pounds of granola for $3.25 per pound and f pounds of flour for $0.74 per pound?
3.25g + 0.74f
Simplify: 4a - 5b - 6 + 2b - 3a
a-3b-6
Write the expanded form of the expression: -2.5(-3 + 4n + 8)
-10n - 12.5
Explain why expressions must be subtracted in a particular order. Justify your reasoning with an example.
Subtraction doesn't apply with the Commutative Property. For example: 7-9 = -2 but 9-7 = 2. The answers are the same value, but with opposite signs.
Ms. Poppleton's favourite food
Brussels Sprouts
For the expressions 5-5x to have a negative value, what must be true about the value of x?
x must be greater than 1
Simplify: -3.7 + 5g + 4k + 11.1 - 10g
-5g + 4k + 7.4
Write the expanded form of the expression: -0.4(-5+7y-13.8)
2.8y - 7.52
Combine like terms: (-2z - 3)+(4c +6y- z)+(7+3c)
7c + 6y - 3z +4
The last country Ms. Poppleton visited
Portugal
Evaluate -2+4x÷3 when x= -6, 0, 9
When x=-6: -10
When x=0: -2
When x=12: 14
Simplify: 12 + (-4) - 2⁄5j - 4⁄5j + 5
-1 1⁄5j +13
Your friend factors the expression 15x-20xy as 5x(3-4xy). Are they correct? Explain why or why not.
They are incorrect. If you expand their expression back out it would be 15x-20x2y
Find the sum: (3⁄7 - 3 + 4n)+( 5⁄14 - 2n - 4)
2n - 6 3⁄14
Ms. Poppleton's birthday
May 13
Select all expressions equivalent to 3⁄5x + 3:
A.) 4⁄5x - 1⁄5x + 3
B.) 2⁄5 +3 3⁄5x -1
C.) 1+ 1⁄5x + 2 - 2⁄5x
D.) 1+ 3⁄5x + 2
E.) 1 + 2⁄5x + 3
A & D
Explain whether 8t-3y-4t is equivalent to 7t+(-3t)-3y
They are equivalent because both expressions simplify to 4t-3y
Factor the expression: 12x +27y - 73
3(4x+9y) - 73
Combine like terms: 9r - (4t - 3r + 2) + 7 + 9t
12r + 5t +5
Ms. Poppleton's favourite dessert
Cheesecake
Diego is building a boat dock. The length of the dock is (x+8) feet. The width of the dock is (x+3) feet. Create two equivalent expressions to represent the perimeter of the boat dock.
2(x+3)+2(x+8)
4x+22
Simplify: -4a2 + 5b2 - 7a + 9a2 +13 - 11b2 - 5a - 19
5a2 - 6b2 - 12a - 6
The area of a rug is 18a2b - 6ab + 21a2 + 15a. What are possible dimensions?
3a (6ab + 7a - 2b + 5)
Subtract the expressions: (7j + 1⁄8q +3) - (5⁄8q - 11 + 2j)
5j - 1⁄2q +14
The names of Ms. Poppleton & Mr. Brown's cats
Hazel & Maya