1100 ALGEBRA I (PACE)
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. 4a^2b^2 - 12ab + 9 =
(2ab - 3)(2ab - 3) or (2ab - 3)^2
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. 4x^2 - 9y^2 =
(2x + 3y)(2x - 3y)
FACTOR 2x^2 - 5x + 3 =
(2x - 3)(x - 1)
FACTOR 4x^2 - 8x - 5 =
(2x - 5)(2x + 1)
FACTOR a^2 + 5a + 6 =
(a + 3)(a + 2)
FACTOR a^2 + 2a - 35 =
(a + 7)(a - 5)
WRITE THE FOLLOWING EXPRESSION IN ALGEBRAIC LANGUAGE. "three times the quantity x plus y added to the quantity a minus b"
(a - b) + 3(x + y)
FACTOR b^4 - 16 =
(b^2 + 4)(b^2 - 4) (b^2 + 4)(b + 2)(b - 2)
WRITE THE FOLLOWING EXPRESSIONS IN ALGEBRAIC LANGUAGE. "the quantity a plus b subtracted from the sum of x and y"
(x + y) - (a + b)
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. x^2 - 6x + 9 =
(x - 3)(x - 3) or (x - 3)^2
FACTOR x^2 - 5x - 14 =
(x - 7)(x + 2)
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. y^4 - 16 =
(y^2 + 4)(y^2 - 4) (y^2 + 4)(y + 2)(y - 2)
MULTIPLY. (3a - 2b)(4a + 4b) =
12a^2 + 12ab - 8ab - 8b^2 12a^2 + 4ab - 8b^2
MULTIPLY (4r + 3x)^2 =
16r^2 + 24rx + 9x^2
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. "the difference of x and y added to twice the sum of a and b"
2(a + b) + (x - y)
FACTOR 2x^2 + 8x - 42 =
2(x^2 + 4x - 21) 2(x + 7)(x - 3)
MULTIPLY (4a + 2b)(6a + 4b) =
24a^2 + 16ab + 12ab + 8b^2 24a^2 + 28ab + 8b^2
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. 3a^2x + 16abx + 32b^2x =
2x(a^2 + 8ab + 16b^2) 2x(a + 4b)(a + 4b) or 2x(a + 4b)^2
MULTIPLY. (3a - b)(a - 3b) =
3a^2 - 9ab -ab + 3b^2 3a^2 - 10ab + 3b^2
MULTIPLY. (3m + 2)(m + 4) =
3m^2 + 12m + 2m +8 3m^2 + 14m + 8
FACTOR THE FOLLOWING. BE SURE TO FACTOR EACH ONE COMPLETELY. 100x^2 - 64 =
4(25x^2 -16) 4(5x + 4)(5x - 4)
Show by parentheses that the sum of x and y is to be subtracted from four times the sum of a and b.
4(a + b) - (x + y)
FACTOR 4a^2 + 16ab + 16b^2 =
4(a^2 + 4ab + 4b^2) 4(a + 2b)(a + 2b) or 4(a + 2b)^2
FACTOR 7a^2x^2 - 63y^2 =
7(a^2x^2 - 9y^2) 7(ax + 3y)(ax - 3y)
MULTIPLY (2x - 1)(4x + 5) =
8x^2 + 10x - 4x - 5 8x^2 + 6x -5
MULTIPLY. (3x + y)(3x - y) =
9x^2 - y^2
MULTIPLY. (3y - 2)^2 =
9y^2 - 12y + 4
SCRIPTURE
Moreover it is required in stewards, that a man be found faithful.
FACTOR ax^2 - a =
a(x^2 - 1) a(x + 1)(x - 1)
MULTIPLY (a + b)(a - b) =
a^2 - b^2
MULTIPLY. (d + 4)(d - 4) =
d^2 - 16
FACTOR xy^2 + 8xy + 15x =
x(y^2 + 8y + 15) x(y + 5)(y = 3)
MULTIPLY (x - 4)(x + 3) =
x^2 + 3x - 4x - 12 x^2 - x -12
MULTIPLY (x + 1)(x - 1) =
x^2 - 1
MULTIPLY (x - 5)(x + 5) =
x^2 - 25
MULTIPLY (x - y)^2 =
x^2 - 2xy + y^2
