Evaluate Expression When x and y Are Given
Evaluate when x=3, y=2:
4x + y
14
Simplify:
3x * 4x
12x^2
The sum of a number k and 12
k+12
Simplify:
4x + 7x
11x
Simplify:
8x^2 - 3y + 5x - 6y^2 + 12x^2 + 9y - 4x + 2(3y - x)
20x^2 - x + 12y - 6y^2
Evaluate when x=5, y=4:
3x^2 - 2y
Simplify:
6m^2 * 5m^3
30m^5
Five less than twice the value of x.
2x-5
Simplify:
6x^2 + 4x - 3x^2 + 5
3x^2 + 4x + 5
Simplify:
3(5x - 2y + 7) - 4y + x(8y - 6) - 2y(-3)
8xy + 9x - 4y + 21
Evaluate when x=2, y=6:
7x^3 + xy - 5y^2
-112
Simplify:
48y^6 ÷ 6y^2
8y^4
Add the cube of m to the product of 4 and the quantity (x - 3)
4(x - 3) + m^3
Simplify:
5(2y - 3) - 4(y + 7)
6y - 43
Factor:
18a^2b - 12ab^2 + 30a^2bc
6ab(3a - 2b + 5ac)
Evaluate when x=3, y=1:
4x^3y^2 - 6x^2y + 10x*y^3
84
Simplify:
(7a^3b^2)(4a^2b^5)
28a^5*b^7
Three times the difference of 2a and b, decreased by the square of the sum of x and y.
3(2a - b) - (x + y)^2
Factor completely:
12x^2 - 18x
6x(2x - 3)
Simplify fraction expression:
(3x - 4)/6 + (5x + 2)/12
(11x - 6) / 12
Evaluate when x=2, y=3:
5x^4 - 3x^2*y^2 + 2xy^3 - 7y^4
-487
Simplify:
90x^8y^3 ÷ (15x^2y^-4)
6x^6*y^7
Subtract twice the cube of the quantity (p + q) from the product of 7 and the difference of r^2 and 3s.
7(r^2 - 3s) - 2(p + q)^3
Factor completely:
16a^2b - 24ab^2 + 8a^2bc
8ab(2a - 3b + ac)
FINAL JEOPARDY: A school supply store is running a sale where pens cost d dollars each and markers cost e dollars each. A teacher buys xboxes of pens, with each box containing 7 pens, and y packs of markers, with each pack containing 4 markers. After checking out, the teacher realizes she needs 3 more pens than the total number of markers she already purchased, so she buys exactly enough loose pens to make that true. Write an expression in terms of d, e, x, and y that represents the total cost of all the supplies she buys.
(4y + 3)d + 4ye