Exam 2: Solving Equations and Inequalities

Solve the problem. -A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet?

Solve the problem. -Sales of frozen pizza for a club fund- raiser increased from 500 one year to 590 the next year. What was the percent of increase?

Solve using the multiplication principle. - $-13.9 y=55.6$

Solve using the multiplication principle. - $-96=-6 n$

Solve the equation using the addition principle. - $8=\mathrm{x}+7$

Solve the problem. -The area of a triangle must be at most 22 square inches, the base is 4 inches, and the height is $x$ inches. Find the possible values for $x$ .

Solve using the multiplication principle. - $-\frac{4}{7}>-2 x$

Solve. -In West Arlington, taxis charge $\$ 4.50$ plus $75 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 27.00$ ? (Hint: $75 \$=\$ 0.75$ )

Solve using the multiplication principle. - $\frac{1}{5} \mathrm{x}=14$

Solve using the addition principle. Graph and write set-builder notation for the answer. - $f+3<14$

Solve. - $7 \mathrm{n}-9=5$

Solve using the multiplication principle. - $41.1 \mathrm{x}=575.4$

Solve using the multiplication principle. - $-\frac{1}{4} y=18$

Provide an appropriate response. -What value of $K$ makes this equation equivalent to $x=2$ ? $3 \mathrm{x}+15 \mathrm{x}-8=\mathrm{K}+6$

Solve using the multiplication principle. - $9 \mathrm{x}=90$

Solve the problem. -One side of a rectangle is 9 inches and the other side is $x$ inches. Find the value of $x$ if the area must be at least 36 square inches.

Solve using the multiplication principle. - $-3 x<-9$

Solve using the addition and multiplication principles. - $\frac{x}{2}+15 \leq 9$

Solve. - $-9 \mathrm{n}-2=34$

Solve using the addition and multiplication principles. - $15 x+25>5(2 x+6)$