Problem 1
Explain why the solution set of the equation \(12-|x|=15\) is the empty set.
Problem 3
In \(3-8,\) write each polynomial as the product of its greatest common monomial factor and a polynomial. $$ 8 x^{2}+12 x $$
Problem 4
Perform the indicated operations and write the result in simplest form. 6\(c^{2} d\left(-2 c d^{3}\right)\)
Problem 5
In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 3 b+18=12 $$
Problem 8
In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(7 b^{2}-2 b+3\right)-\left(3 b^{2}+8 b+3\right) $$
Problem 8
In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ 13-x=15 $$
Problem 10
In \(3-17,\) solve each equation or inequality. Each solution is an integer. $$ |3-y|=8 $$
Problem 10
Solve and check each of the equations. \(x(x+7)-2=28\)
Problem 10
Find the value of each given expression. \(|8+(10-18)|\)
Problem 11
In \(3-12,\) write the sum or difference of the given polynomials in simplest form. $$ \left(y^{2}-y-7\right)+\left(3-2 y+3 y^{2}\right) $$