Algebra 2 Extra

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Tags

CCSS.HSA.APR.C.4

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)
• (2x + 9)(x + 5)
• (2x - 5)(x - 9)
• (2x - 5)(x + 9)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

2x³y⁸ + 6x⁴y² + 10x⁵y¹⁰ what is the GCF? 

• 2x³y²
• x³y²
• 2
• -x³y²

Tags

CCSS.HSA.APR.A.1

Factor
5ab²c¹¹ + 2bc⁵

• bc⁵(5ab²c⁶ + 2b)
• bc⁵(5abc⁶ + 2)
• b²c⁵(5bc⁶ + 2)
• c4(5a²b²c⁷ + 2bc)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Tags

CCSS.8.EE.C.7B

For a field trip 7 students rode in cars and the rest filled four buses.  How many students were in each bus if 203 students were on the trip? Write an equation to find the solution.

• 56
• 50.75
• 49
• 43

Tags

CCSS.7.EE.B.4A

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3
• -3
• -5
• 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

We can't factor using difference of two square this

49x² + 4y². Why?

• Because 4 is not a perfect cubed number.

• Because 4 is not a perfect squared number.

• Because 49 is not a perfect squared number.

• Because we can't factor using difference of two squares if it is addition sign.

Tags

CCSS.HSA.APR.C.4

169x²y⁶ - 196w⁴z⁸

• (13xy³ + 14w²z⁴) (13xy³ - 14w²z⁴)

• (13xy² + 14w³z⁴) (13xy² - 14w³z⁴)

• (13xy⁶ + 14w²z⁴) (13xy⁶ - 14w²z⁴)

• (13x²y + 14w³z⁴) (13x²y - 14w³z⁴)

Tags

CCSS.HSA.APR.C.4