Problem 13
Solve each equation. Check for extraneous solutions. $$ |2 y-4|=12 $$
Problem 14
A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. You pick one block from the bag at random. Find each theoretical probability. \(P(\text { yellow or not green })\)
Problem 15
Solve each equation. Check for extraneous solutions. $$ |2 x+5|=3 x+4 $$
Problem 17
Solve each inequality. Graph the solution. $$ |x-5| \geq 8 $$
Problem 17
Investing The expression 1000\((1.1)^{t}\) represents the value of a \(\$ 1000\) investment that earns 10\(\%\) interest per vear, compounded annually for \(t\) vears. Find the value of a \(\$ 1000\) investment at the end of each period. 2 years
Problem 18
Solve each compound inequality. Graph the solution. \(2 x>-10\) and \(9 x<18\)
Problem 23
Simplify by combining like terms. \(-5 a-4 a+b\)
Problem 24
Replace each \(\pi\) with the symbol \(<,>,\) or \(=\) to make the sentence true. $$ 0.72737475 \ldots . \quad 0.73737373 \dots $$
Problem 24
Solve each compound inequality. Graph the solution. \(8 x>-32\) or \(-6 x \leq 48\)
Problem 26
Simplify by combining like terms. $$ w+3 z+5 w+2 z $$