Exam 1: Review of Algebra

Completely factor: 2 + 7y + 3

Simplify and express your answer in terms of positive exponents:

Simplify:

A number squared is thirty-five more than twice the number.What is the number?

Multiply and simplify: (x - 5)(x + 2)

Solve: (x + = 16

Solve: 3 = 0

Solve for x: 1 - 4x - = 0

Simplify and express your answer in terms of positive exponents:

Solve: + x - 4 = 0

State the property of real numbers that is used in the equality (e + a)b = e × b + a × b.

A number multiplied by itself is 7.What is the number?

State the property of real numbers that is being used: 2(ab)= (2a)b

Divide and simplify: ÷

Simplify: (3x + 2y - 5)+ (x - 4y + 2)

Solve: = 4

Multiply and simplify:

Simplify:

(3t - 4)(4t - 5)=

Rationalize the denominator and simplify: