Factoring & Solving Review for Test

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#Factoring & Solving in Preparation for College Prep Test

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Questions 30

Answers

1
Factor Completely: 3x³-27x
x(x2-27)
3x(x+3)(x-3)
3(x3-9x)
3x(x2-9)
2
Factor: 6x²-30x+12
2(3x2-15x+6)
6(x2-5x+2)
6x(x2-5x+2)
3(2x2-10x+4)
3
Solve for x. x²+ 25 = -10x
x = 0, -5
x = 5
x = -5
(x+5)2
4
Solve for x: 16 = 4x²
(2x + 4)(2x-4)
x = -4, 4
x = -2, 2
(4x + 2)(4x - 2)
5
21x²y+36xy²+9xy
21x2y+36xy2+9xy
3xy(7x+12y+3)
3(7x2y+12xy2+3xy)
3xy(7xy+12xy+3)
6
Factor: x²-5x-24
x = 8, 3
(x-3)(x+8)
x = -8, -3
(x-8)(x+3)
7
Solve for x. 3x²=15x
3x(x-5)
x = 5
x = 0, 5
3x(x+5)
8
Solve for x: -x² = -12x + 35
x = -6, -2
x = -5, -7
x = 7, 5
x = 6, 2
9
Solve. 2x²-2x-112 = 0
2(x+7)(x-8)
x=-7,8
prime
2(x2-x-56)
10
Solve for x: x² = 9x - 20
x = 10, 2
x = -10, -2
x = -4, -5
x = 4, 5
11
Factor Completely: 12x³-27x
12x3-27x
3x2(4x-27)
3x(2x+3)(2x-3)
3x(4x2-9)
12
Solve. x(x+2)=24
(x+6)(x-4)
x = -2, -24
x2 + 2x = 24
x=-6,4
13
Factor Completely: 5x²+15x+10
5(x+3)(x+1)
5(x+2)(x+1)
5(x2+3x +2)
prime
14
Factor Completely: 12x²-60x+48
12(x-4)(x-1)
12(x2-5x+4)
12(x+4)(x+1)
prime
15
Factor Completely: 288x²-50y²
2(12x+5)(12x+5)
2(144x2-25)
2(12x-5y)(12x+5y)
prime
16
Solve for x: 2x² - 28x = 30
x = 15, -1
x =-5,
x = 5, -3
x = -15, 1
17
Factor: 49-x²y²
(x+7)(y-7)
(7-xy)(7+xy)
(xy+7)(xy-7)
(7+x)(7-y)
18
Solve for x: x² - x = 0
x(x-1)
x = 0 and -1
x = 1
x = 0 and 1
19
Factor: 2x²+2x-8
2(x2+x-4)
2x(x+2x+2)
2x2+2x-8
prime
20
Factor: x²-8x+15
(x-3)(x-5)
(x+3)(x+5)
x = 5, 3
x=-5, -3
21
Factor: x² + 2x +1
x = 1
prime
(x+1)2
x = -1
22
Factor: 4x⁴y²+7x³y³+9x²y
x2y(4x2y+7xy2+9)
x2y2(4x2+7xy+9)
xy(4x3y+7x2y2+9x)
4x4y2+7x3y3+9x2y
23
Factor Completely: 3x²- 6x+3
3(x+1)2
3(x2-2x+1)
3(x-1)2
3x(x-6+1)
24
x²+12x+27
x = -9, -3
(x+9)(x+3)
x = 9, 3
(x-9)(x-3)
25
Factor: 12xy+9y+27yz
3y(4x+3+9z)
3(4xy+3y2+9yz)
3y(4x+3y+9z)
12xy+9y+27yz
26
Solve for x: 24 = 8x²
x = -3 and 3
x = 3
prime
x = 0 and 3
27
Solve for x: x²-3x =10
x = 5, -2
(x + 5)(x - 2)
x = -5, 2
(x-5)(x+2)
28
Solve for x: -4x² = -25
prime
(2x-5)(2x+5)
x = 5/2, -5/2
x = 25/4, -25/4
29
Solve for x: x(x+5) = 24
x2 + 5x -24 = 0
x = 8, 3
x = 8, -3
x = -8, 3
30
Factor: x²+3x-28
(x+7)(x-4)
x=7,-4
(x+4)(x-7)
x=-7,4

Factoring & Solving Review for Test Flashcards | StudBud

Factoring & Solving Review for Test

30 termsStudBud Administration48 plays

#Factoring & Solving in Preparation for College Prep Test

Flashcards30 cardsFPractice quizPHost liveL

Questions 30

Answers

1
Factor Completely: 3x³-27x
x(x2-27)
3x(x+3)(x-3)
3(x3-9x)
3x(x2-9)
2
Factor: 6x²-30x+12
2(3x2-15x+6)
6(x2-5x+2)
6x(x2-5x+2)
3(2x2-10x+4)
3
Solve for x. x²+ 25 = -10x
x = 0, -5
x = 5
x = -5
(x+5)2
4
Solve for x: 16 = 4x²
(2x + 4)(2x-4)
x = -4, 4
x = -2, 2
(4x + 2)(4x - 2)
5
21x²y+36xy²+9xy
21x2y+36xy2+9xy
3xy(7x+12y+3)
3(7x2y+12xy2+3xy)
3xy(7xy+12xy+3)
6
Factor: x²-5x-24
x = 8, 3
(x-3)(x+8)
x = -8, -3
(x-8)(x+3)
7
Solve for x. 3x²=15x
3x(x-5)
x = 5
x = 0, 5
3x(x+5)
8
Solve for x: -x² = -12x + 35
x = -6, -2
x = -5, -7
x = 7, 5
x = 6, 2
9
Solve. 2x²-2x-112 = 0
2(x+7)(x-8)
x=-7,8
prime
2(x2-x-56)
10
Solve for x: x² = 9x - 20
x = 10, 2
x = -10, -2
x = -4, -5
x = 4, 5
11
Factor Completely: 12x³-27x
12x3-27x
3x2(4x-27)
3x(2x+3)(2x-3)
3x(4x2-9)
12
Solve. x(x+2)=24
(x+6)(x-4)
x = -2, -24
x2 + 2x = 24
x=-6,4
13
Factor Completely: 5x²+15x+10
5(x+3)(x+1)
5(x+2)(x+1)
5(x2+3x +2)
prime
14
Factor Completely: 12x²-60x+48
12(x-4)(x-1)
12(x2-5x+4)
12(x+4)(x+1)
prime
15
Factor Completely: 288x²-50y²
2(12x+5)(12x+5)
2(144x2-25)
2(12x-5y)(12x+5y)
prime
16
Solve for x: 2x² - 28x = 30
x = 15, -1
x =-5,
x = 5, -3
x = -15, 1
17
Factor: 49-x²y²
(x+7)(y-7)
(7-xy)(7+xy)
(xy+7)(xy-7)
(7+x)(7-y)
18
Solve for x: x² - x = 0
x(x-1)
x = 0 and -1
x = 1
x = 0 and 1
19
Factor: 2x²+2x-8
2(x2+x-4)
2x(x+2x+2)
2x2+2x-8
prime
20
Factor: x²-8x+15
(x-3)(x-5)
(x+3)(x+5)
x = 5, 3
x=-5, -3
21
Factor: x² + 2x +1
x = 1
prime
(x+1)2
x = -1
22
Factor: 4x⁴y²+7x³y³+9x²y
x2y(4x2y+7xy2+9)
x2y2(4x2+7xy+9)
xy(4x3y+7x2y2+9x)
4x4y2+7x3y3+9x2y
23
Factor Completely: 3x²- 6x+3
3(x+1)2
3(x2-2x+1)
3(x-1)2
3x(x-6+1)
24
x²+12x+27
x = -9, -3
(x+9)(x+3)
x = 9, 3
(x-9)(x-3)
25
Factor: 12xy+9y+27yz
3y(4x+3+9z)
3(4xy+3y2+9yz)
3y(4x+3y+9z)
12xy+9y+27yz
26
Solve for x: 24 = 8x²
x = -3 and 3
x = 3
prime
x = 0 and 3
27
Solve for x: x²-3x =10
x = 5, -2
(x + 5)(x - 2)
x = -5, 2
(x-5)(x+2)
28
Solve for x: -4x² = -25
prime
(2x-5)(2x+5)
x = 5/2, -5/2
x = 25/4, -25/4
29
Solve for x: x(x+5) = 24
x2 + 5x -24 = 0
x = 8, 3
x = 8, -3
x = -8, 3
30
Factor: x²+3x-28
(x+7)(x-4)
x=7,-4
(x+4)(x-7)
x=-7,4