Chapter 3

Round to the nearest tenth. $$ \text { 7. } 23.4459 $$

Identify the coefficient of each variable term. $$ 5 m+4=8-7 m $$

Solve the equation. Check your solution in the original equation. $$ 19 m=-19 $$

Solve the equation. $$r+3=2$$

Write the ratio in simplest form. 77 to 55

Solve the equation for the indicated variable. $$ 6(s-1)=t ; s $$

Solve the percent problem. 12% of 5 is what number?

Solve the equation. \(7 y-3=25\)

Round to the nearest tenth. $$108.2135$$

Identify the coefficient of each variable term. $$ 2(x+1)=14 $$

Solve the equation. Check your solution in the original equation. $$ -5 x=3 $$

Solve the equation. $$9=x-4$$

Find the unit rate. Round your answer to the nearest hundredth. Swim 2 miles in 40 minutes

In Exercises 9 and 10 , use the formula for the area of a rectangle, \(A=\ell w\) Find a formula for \(w\) in terms of \(A\) and \(\ell\)

Solve the percent problem. 18 is 25% of what number?

Solve the equation. \(2 x-9=-11\)

Round to the nearest tenth. $$13.8953$$

Decide whether the equation is true or false. Use the distributive property to explain your answer. $$ -2(4+3)=-8+6 $$

Solve the equation if possible. Determine whether the equation has one solution, no solution, or is an identity. $$ 7 x+3=2 x-2 $$

Solve the equation. Check your solution in the original equation. $$ \frac{y}{4}=8 $$

Solve the equation. $$7+c=-10$$

Find the unit rate. Round your answer to the nearest hundredth. Pay 1.50 dollrs for 24 tea bags

In Exercises 9 and 10 , use the formula for the area of a rectangle, \(A=\ell w\) Use the new formula in Exercise 9 to find the width of a rectangle that has an area of 104 square inches and a length of 13 inches.

Solve the percent problem. 24 is 120% of what number?

Solve the equation. \(3 r-r+15=41\)

Round to the nearest tenth. $$ 62.9788 $$

Decide whether the equation is true or false. Use the distributive property to explain your answer. $$ -2(4-3)=-8+6 $$

Solve the equation if possible. Determine whether the equation has one solution, no solution, or is an identity. $$ 5(x-5)=5 x+24 $$

Solve the equation. Check your solution in the original equation. $$ \frac{r}{-5}=20 $$

Solve the equation. $$-1=t-6$$

Solve the equation. \(13=12 t-5-3 t\)

The average mileage for your old truck is 10.5 miles per gallon. Estimate the number of miles you can travel on a full 22 gallon tank of diesel fuel.

In Exercises 11 and \(12,\) use the temperature conversion formula \(F=\frac{9}{5} c+32\). Solve the formula for degrees Celsius \(C .\) Show all your steps.

The price of a book without tax is \(\$ 10\). The sales tax rate on the price of the book is 6%. Model the situation with an equation of the form \(a=\frac{p}{100} b\)

Round to the nearest tenth. $$ 56.068 $$

Solve the equation. Check your solution in the original equation. $$ \frac{b}{-7}=-4 $$

Solve the equation if possible. Determine whether the equation has one solution, no solution, or is an identity. $$ 12-5 a=-2 a-9 $$

Solve the equation. $$4+x=8$$

Solve the equation. \(-8+5 a-2=20\)

The price of a book without tax is $10. The sales tax rate on the price of the book is 6%. Solve the equation to find the amount of the tax.

Round to the nearest tenth. $$ 0.555 $$

Solve the equation. Check your solution in the original equation. $$ \frac{3}{8} t=6 $$

Solve the equation if possible. Determine whether the equation has one solution, no solution, or is an identity. $$ 3(4 c+7)=12 c $$

Solve the equation. $$x+4-3=9$$

Solve the equation. \(5(d-7)=90\)

Solve the formula for the indicated variable. Show all your steps. Then evaluate the new formula by substituting the given values. Area of a rectangle: \(A=\ell w\) Solve for \(w\) Find the value of \(w\) when \(A=36\) and \(\ell=9\)

Find the unit rate. Round your answer to the nearest hundredth. 30 to 120

Round to the nearest tenth. $$ 8.839 $$

Solve the equation. Check your solution in the original equation. $$ 4=-\frac{2}{3} x $$

Solve the equation if possible. Determine whether the equation has one solution, no solution, or is an identity. $$ x-2 x+3=3-x $$