Exam 9: More on Algebra

Solve the problem. -To estimate his travel time, Joe divides the distance, $d$ , in miles by 5 less than his expected average speed, in miles per hour. If Joe plans on driving 75 miles per hour and he has to travel 310 miles, how long does he expect to be traveling? Round to the nearest tenth when necessary.

Solve the equation - $6 p=8(4 p+9)$

Solve. - $\frac{6}{5}+y=-2$

Solve the equation - $2(2 t-3)-3=11$

Simplify. - $\frac{1}{4} z+\frac{3}{5} z$

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. - $P=2 L+2 W ; L=6, W=3$

Simplify. - $8 a-3 a+5$

Solve the equation. Round the solution to the nearest tenth. - $56.7 \mathrm{z}+23.93=4.46$

Solve the equation. Round the solution to the nearest tenth. - $\frac{\mathrm{n}}{3.4}+11.4=0.26$

Solve. - $-6=b-10$

Translate the stated rule or relationship to a formula. -The area of a circle, $A$ , is equal to the product of $\pi$ and the square of the radius, $r$ , of the circle.

Solve. - $-2=\frac{\mathrm{c}}{-9}$

Solve - $\frac{9}{4} x-\frac{19}{8} x=\frac{9}{4}$

Solve the equation. Round the solution to the nearest tenth. - $7.5=\frac{\mathrm{n}}{-2.93}$

Solve. - $-2 b=28$

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. - $P=2 L+2 W ; W=9, L=4$

Solve. - $-72=8 a$

Solve - $4 \mathrm{z}-2=3 \mathrm{z}-20$

Solve. - $-0.9+x=20.0$

Solve the equation. Round the solution to the nearest tenth. - $\frac{\mathrm{z}}{0.32}-0.13=-0.22$