Chapter 4 Algebra Bonus

Expand each of the following and simplify your answers as far as possible.

−12(2t − 7) =

• −24t + 84

• −24t − 84

• 24t − 84

• 24t + 84

Expand each of the following and simplify your answers as far as possible.

−4(2a −3b − 6c + 4d)

• −8a + 12b + 24c + 16d

• 8a - 12b - 24c + 16d

• 8a - 12b - 24c - 16d

• −8a + 12b + 24c - 16d

Expand each of the following and simplify your answers as far as possible.

6(3y − 5) − 2(3y − 5) =

• 16y - 20

• 12y - 20

• 16y - 32

• -12y - 20

Expand each of the following and simplify your answers as far as possible.

5q² − 2q(q −12) − 3q²

• -36q

• 14q

• 24q

• -24q

Expand each expression and simplify your answers as far as possible.

2x(3 + x) – 3(x – 2)

• 2 x² - 3 x-6

• 2 x² - 3 x+6

• 2 x² + 3 x+6

• 2 x² + 3 x-6

Solve the following equations.

11n − 19 = 102

• n=-1

• n = -11

• n = 11

• n=1

Solve the following equations.

11x + 1 = 12 − 4x

• d = 11/15

• d = 13/15

• d = -11/15

• d = 10/15

Solve the following equations.

2(p − 1) − 7(3p − 2) = 7(p − 4)

• p= -2/13

• p=20/13

• p=2/13

• p=-20/13

Solve for x.

7x – (3x + 11) = 6 – (5 – 3x)

• x = 10

• x = 12

• x = -10

• x = -8

Solve the following equations for x

• x = 1/3

• x = -5/3

• x = -1/3

• x = 1