Exam 2: Review of Basic Algebra

Simplify: -9a(-5b)

Simplify: 5⁷ ÷ 5^-3

Solve for x: x + 14 = -7

Simplify: (1 - r)³(1 - r)⁴(1 - r)

Expand: (3xyz)³

A rubber tube 120 cm long is cut into two pieces so that the longer piece is 30 cm longer than twice the length of the shorter piece. What is the length of the longer piece?

Simplify: -(4 - 6a)- (-8 + 6a)

Simplify: 4x - 6y - 4x - 2y

Compute:

Taylor invests part of her $2 000 savings into a savings account at 6% and part into a GIC at 8% simple interest. If she gets $150 in interest from the two investments, calculate how much she invested at each rate.

Solve for x: - x = 8

Simplify: (-3)⁷ ÷ (-3)⁴

Solve: 0.04x = 37

Solve: - - = 1

Simplify: (m⁵)⁵

Solve: I = Prt for r

Evaluate: 1862.14

Solve: 2x + 17 = 8x - 3

Compute:

Evaluate s: s = ut + at² for u = 20, a = 10, t = 5