Algebra I

Multiplying Polynomials

100

 6v(2v+3)

12v²+18v

200

−4(v + 1)

−4v − 4

300

(2n + 2)(6n + 1)

12n² + 14n + 2

400

(8p − 2)(6p + 2)

48p² + 4p − 4

500

(5n + 6)(5n − 5)

25n² + 5n − 30

Evaluating Expressions

100

p² + m; use m = 1, and p = 5

26

200

x + y + y; use x = 9, and y = 10

29

300

6q + m − m; use m = 8, and q = 3

18

400

(y + x) ÷ 2 + x; use x = 1, and y = 1

2

500

z − (y ÷ 3 − 1); use y = 3, and z = 7

7

Factoring by grouping

100

8r³− 64r² + r − 8

(8r² + 1)(r − 8)

200

6v³− 16v²+ 21v − 56

(2v² + 7)(3v − 8)

300

63n³+ 54n²− 105n − 90

3(3n² − 5)(7n + 6)

400

28v³ + 16v² − 21v − 12

(4v² − 3)(7v + 4)

500

24r³ − 64r² − 21r + 56

(8r² − 7)(3r − 8)

Solve Quadratic functions

100

Factor. (k + 1)(k − 5) = 0

{−1, 5}

200

Factor. (a + 1)(a + 2) = 0

{−1, −2}

300

Factor. x² − 11x + 19 = −5

{3, 8}

400

Factor. n² + 7n + 15 = 5

{−5, −2}

500

Factor. n²+ 3n − 12 = 6

{3, −6}

Word Problems

100

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together?

2.73 hours

200

Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.

11 hours

300

Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.

6.52 hours

400

Ryan can paint a fence in ten hours. Sanji can paint the same fence in eight hours. If they worked together how long would it take them?

4.44 hours

500

Krystal can wax a floor in 16 minutes. One day her friend Perry helped her and it only took 5.76 minutes. How long would it take Perry to do it alone?

9 minutes