A set of intermediate algebra questions, with answers, are presented. The solutions are at the bottom of the page. Also included are the solutions with full explanations.

Write 1.5 × 10^{5} in standard form.

Evaluate: 30  x + 6 for x = 10

Evaluate: 2xy^{3} + x  2y for x = 2 and y = 2

What is the slope of the line perpendicular to the line y =  4

Write an equation of the line with slope 2 and xintercept (4 , 0).

Solve the equation: 3(x + 5) + 20 = 10(x  3) + 4

Solve the inequality: 4(x  6) + 4 < 8(x  4)

Solve the equation: 3(x  2)^{2}  12 = 0

Solve the equation: x / 3 + 2 / 7 = x / 7  5

Line L is defined as line through the point (2 , 7) and perpendicular to the line x + y = 0. What is the point of intersection of L and the line x + y = 0?

What is the point of intersection of the lines: x + 2y = 4 and x  3y = 7?

How many solutions do the system of eaquations 2x  3y = 4 and 4x  6y = 7 have?

For what value(s) of A does the system of equation Ax + 6y = 0 and 2x  7y = 3 have no solutions?

Solve 2x  4  2 = 6.

How many solutions does the equation 2x^{2} + 3x = 8 have?

Solve the equation 3x^{2} + 6x  1 = 8.

Solve the system of equations: 2x + 5y = 18 and 3x  y = 1.

What is the range of function f defined by: f = {(2,3),(1,4),(5,4),(0,3)}

Factor the expression 2x^{2} + 3x + 1.

Factor the expression 10x^{2} + 20x  80.

