Algebra structure and methods ch 4 pt1

Exponents

100

Write in Exponential value  

-5 * w * w * w * w * w * z * z * z * z

-5w⁵z⁴

200

(Choose one) The answer is 16    if x= 4

a.   -x²

b. (-x)²

c. both a and b

B

300

(9² - 6²) ÷ 3²

5

400

Evaluate if a = −4 and b = −2

(2 + ab)²

100

500

Evaluate if a = −3 and b = −2

-a²b² + 2² 

-32

Add/Subtract Polynomials

100

Simplify

(7x − 9) - (4x − 4)

3x - 5

200

Simplify

(x² + 5x − 3) − (3x² − 6x − 18)

-2x² + 11x + 15

300

Simplify

(2x² - 3x - 4) + (3x² + 4x - 6)

5x² +x -10

400

Simplify

(3x² - 3x - 4) - (2x² + 4x - 6)

x² -7x + 2

500

Simplify

(8w² - 5wz + 6z²) - (-2w²  + 5wz - 4z²)

10w² + 10wz + 10z²

multiply monomials

100

Simplify

5x⁶ ⋅ 3x⁴

15x¹⁰

200

True or False

(-5)² = -5²

False

300

Simplify

(−6a⁵b⁴)(−3b)

18a⁵b⁵

400

Simplify

(3x⁴)³(x⁵)

27x¹⁷

500

Simplify

(1/2b³)³(-5b)²

25/8b¹¹ or 3 1/8b¹¹

multiply monomials with polynomials

100

(-8x)(3x³ + 4)

-24x⁴ - 32x

200

Simplify

5x²(x² + 4x - 6)

5x⁴ + 20x³ - 30²

300

Simplify

c²k²(c³ + 5ck - 7k³)

c⁵k² + 5c³k³ - 7c²k⁵ 

400

Simplify

1/4g³(8g⁶ + 24gh² + 12h²)

2g⁹ + 6g⁴h² + 3g³h²

500

Simplify

7n³(3n - 5) - 4n(6n³ - 3n²)

-3n⁴ - 23n³ 

solve

100

Solve

18 = 4(x + 3) + 2(x - 9)

x = 4

200

Solve 

3(4g - 6) = 2(4g - 3) - (g - 8)

g = 4

300

y(2 - y) = 6 - (y² + 3y - 4)

y = 2

400

x(3 - x) = x - (x² - 2x + 4)

no solution

500

3 - 2x(x - 1) = x(3 - 2x) - (x - 3)

Identity or Infinite solutions or all solution