Algebraic Notation and Translating
Simplify the expression 3 x 5t using algebraic notation (x is multiplication)
15t
Find the value of 27-4b when b=3
15
Simplify 6x / 2y
3x/y
Fully factor 10-8d
2(5-4d)
Give one country in which Miss Feller used to live.
Italy, Uganda
Write the following worded statement using algebraic notation: Add the square of y to the cube of 2d
y2 + (2d)3
When x = 3, and y = 5, find the value of (x +y) / (x - y)
-4
(3/2)(10x + 8y - 6z)
15x + 12y - 9z
Factor completely -9xy - 15xr
-3x(3y + 5r)
In what year did Texas declare independence from Mexico?
1836
Simplify using algebraic notation: 3h - b / c - 8 x y x 7 (x is multiplication.)
3h - b/c -56y
Find the value of the expression (2a+3b)2 when a=1 and b=-2
16
Simplify 5(-2r + 5s) - 3(4s - 7r)
11r + 13s
Factor the following completely.
15a2 - 20ab + 10ac
5a(3a - 4b + 2c)
Translate the following into English:
Pater, noster qui est in caelis,...
Our Father, who is in heaven,...
(or "the heavens")
A baker can fit 6 muffins in a small box or 10 muffins in a large box. How many muffins can fit in x small boxes and y large boxes?
6x + 10y muffins
When x = 3 and y = 5, find the value of (x2+y2)/(x + y)2
17/32
Simplify 3[6 - 3w - 5(2w + 1)]
3 - 13w
Fully factor
18ac + 4cb + 27ad + 6db
(2c + 3d)(9a + 2b)
Who is the first Disney princess?
Snow White (1937)
In an NBA basketball game, the number of 2-point scores that a team made is 5 more than 3 times its 1-point scores. Let x be the number of 1-point scores made. Express the number of 2-point scores made in terms of x.
5 + 3x
Find the value of (x2 - 2xy) / (z3 - 4y2) when x = 8, y = -1, z = 2
20
Express the following in its simplest form.
(4z + 2)/4 + (1 - 5z)/5
7/10
Fully factor
4hj + 35gk - 14hk - 10gj
(2h - 5g)(2j - 7k)
Whom does Odysseus meet in the underworld and what does he tell Odysseus?
Achilles
He would rather be a slave on earth than a king in the underworld