2024 Algebra 2 Fall Semester Test

Add the polynomials. (3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

(combine like terms)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Tags

CCSS.HSA.APR.A.1

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

Find the product:
(2x+3)²

• 2x+3+2x+3
• 4x²+12x+9
• 4x²+9
• 16x²+9

Tags

CCSS.HSA.APR.C.4

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Tags

CCSS.HSA.APR.A.1

Which expression is equivalent to

the polynomial: k²+7x+10?

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Which expression is a factor of: k² -2k - 24

• (k-6)

• ((k+2)

• (k-1)

• (k-5)

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Determine the vertex of:

y = x² + 8x - 10

• (4,38)

• (-8,10)

• (-4,-26)

• (2,10)

Does this parabola open up or down?

y = -8x² +18x + 20

• up

• down

Tags

CCSS.HSF-IF.C.7A