M1 Algebra (Moderate)

The Laboratory

100

Evaluate (4x-y)/(x+2) when x=4 and y=6

11

200

Evaluate 2(a-b)³ - a² when a=3 and b=5

-25

300

Evaluate x²-3xy+y² when x=-2 and y=-3

-5

Inventory Cleaup

100

Simplify 3(x²-4)-2x²+5x+12

x²+5x

200

Simplify 8xy-3x+2y-10xy+5x-7

-2xy+2x+2y-7

300

Simplify (1/2)(4x-8)+)(1/3)(9x+12)

5x

Multiplier Blast

100

Expand and simplify -2(3x-4)+5(x-1)

-x+3

200

4(2a-3b)-(5a-8b)

3a-4b

300

-3(x²-2x+4)+2x(x-3)

-x²-12

Quest Problems

100

A triangle has side lengths of 3x-1, 2x+5, and x+4. Write the fully simplified expression for the perimeter.

6x+8

200

You buy n notebooks for $4 each and receive a bulk discount of $2 off the total order for every 5 notebooks purchased (n/5). Write an expression for the total cost if n=15.

4n-2(n/5)

300

A square pool has a side length x + 3. A tiled walkway around it increases each side of the total area by 2 units (new side length: x + 7 ). Write a simplified expressions for the perimeter of the outer walkway.

4x + 28