Algebra 1 Semester 2

Simplify

100

Simplify: 

5a⁴b(7a³b⁸)

35a⁷b⁹

200

Simplify:

(6x² + 8x - 9) - 2x(10x³ - 12x + 5)

-20x⁴ + 30x² - 2x - 9

300

Simplify: (8xy⁴)³

512x³y¹²

400

Simplify: 

(2x + 5)²

4x² + 20x + 25

500

Simplify: 

(3x - 1)(2x² - 5x + 1)

6x³ -17x² + 8x - 1

Solve (Inequalities)

100

Solve the inequality: 

4a - 3 > 9a + 37

a < -8

200

Solve the inequality:

(5y - 3)/2 > 11

y > 5

300

Solve the inequality: 

2h + 3 < -11  or  9 - 4h < -11

h < -7  or  h > 5

400

Solve the inequality:

-3 < 2x + 7 < 19

-5 < x < 6

500

Solve the inequality: 

|4n + 7| < 23

n < 4 and n > -7.5

Solve (Systems)

100

Solve the system: 

3x + 4y = 27
x - 4y = -7

(5, 3)

200

Solve the system: 

2x + 3y = 13
y = 3x + 8

(-1, 5)

300

Solve the system: 

y = 7x - 1
y = 9x + 7

(-4, -29)

400

Solve the system: 

6x - 3y = -10
3x + 5y = 21

(1/3,  4)

500

Solve the system: 

2x + 4y = 32
5x - 3y = -37

(-2, 9)

Solve (Factoring)

100

Solve by factoring: 

x² + 12x + 20 = 0

(x + 10)(x + 2) 

x = -10, -2

200

Solve by factoring: 

x² - 64 = 0

(x + 8)(x - 8) = 0

x = 8, -8

300

Solve by factoring: 

x² - 3x = 28

(x - 7)(x + 4) = 0

x = 7, -4

400

Solve by factoring: 

9x² - 16 = 0

(3x + 4)(3x - 4) = 0

x = -4/3, 4/3

500

Solve by factoring: 

3x² + 18x - 20 = 0

(3x - 2)(x + 10)=0

x = 2/3, -10

Miscellaneous

100

State the degree of the polynomial: 

7x³ + 9x - 3x² + 4 - 10x⁵

5

200

State the leading coefficient of the polynomial: 

9x³y + 4x⁴y³ - 6xy²

4

300

Rewrite so that it is in standard form: 

4.03 x 10⁴

40300

400

Determine whether the following equation is linear, exponential, or quadratic:

y = 2(3)^x - 7

exponential

500

Find the vertex of the quadratic: 

y = -2x² + 12x - 13

(3, 5)