Expanding/Simplifying and Factoring Algebraic Expressions

Factor 
2x + 8

• 2(x + 8)
• 2(x + 4)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
10 + 15x

• 5(2 + 3x)
• 2(5 + 10x)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write in standard form: 3h - 2(1 +4h)

• -5h + 2

• 11h - 2

• 12h - 2

• -5h - 2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand and Simplify 2(x+2)+5(x+3)

• 6x+13
• 5x+17
• 7x+19
• 8x+13

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor.
2xy - 14y + 10xyz

• Nothing can be factored
• 2(xy -7y + 5xyz)
• 2y(x - 7 + 5xz)
• 2xyz(1 - 7 + 5)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 6a²b³ + 9a³b² + 3a²b²

• 2ab(3a+2b+1)

• 3a²b²(2b+3a+1)

• 3a²b²(2b+3a+2)

• 2b+3a+1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 6a²b + 4ab² + 2ab

• 8xy² − 4xy 

• 3a²b(3b-2a-1)

• 2ab(3a + 2b + 1)

• 8m²n + 12mn²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the factored form of 5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following binomials is not a difference of squares?

• x² - 64
• x² - 16
• x² + 400
• x² - 100

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The following are examples of quadratic trinomials EXCEPT:

• $x^2+2y+1$

• $3a-2a+4$

• $2y^2+x-4$

• $z^2-5z+6$