Review Exercises

Did the Problem Solving Strategy help you solve word problems in this chapter? Explain.

There are $9$ saxophone players in the band. The number of saxophone players is one less than twice the number of tuba players. Find the number of tuba players.

Dolores bought a crib on sale for $\text{\$350}.$ The sale price was $\text{40\%}$ of the original price. What was the original price of the crib?

Twice the difference of a number and ten is fifty-four. Find the number.

The sum of two consecutive integers is $-135.$ Find the numbers.

Scott has $\text{\$0.39}$ in pennies and nickels. The number of pennies is $8$ times the number of nickels. How many of each coin does he have?

Lenny has $\text{\$3.69}$ in pennies, dimes, and quarters. The number of pennies is $3$ more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?

Tickets for a basketball game cost $\text{\$2}$ for students and $\text{\$5}$ for adults. The number of students was $3$ less than $10$ times the number of adults. The total amount of money from ticket sales was $\text{\$619}.$ How many of each ticket were sold?

Yumi spent $\text{\$34.15}$ buying stamps. The number of $\text{\$0.56}$ stamps she bought was $10$ less than $4$ times the number of $\text{\$0.41}$ stamps. How many of each did she buy?

What is the complement of a $\text{61°}$ angle?

Two angles are supplementary. The larger angle is $\text{45°}$ more than the smaller angle. Find the measures of both angles.

One angle of a right triangle measures $41.5$ degrees. What is the measure of the other small angle?

One angle of a triangle is twice the measure of the smallest angle. The third angle is $\text{60°}$ more than the measure of the smallest angle. Find the measures of all three angles.

side $b$

Seong is building shelving in his garage. The shelves are $36$ inches wide and $15$ inches tall. He wants to put a diagonal brace across the back to stabilize the shelves, as shown. How long should the brace be?

height of a tree

length of a highway

The length of a rectangle is $36$ feet and the width is $19$ feet.

A rectangular room is $16$ feet wide by $12$ feet long.

Find the width of a rectangle with perimeter $39$ and length $11.$

The width of a rectangle is $45$ centimeters. The area is $2700$ square centimeters. What is the length?

The width of a rectangle is $3$ more than twice the length. The perimeter is $96$ inches. Find the length and the width.

Find the area of a triangle with base $33$ centimeters and height $21$ centimeters.

If a triangular courtyard has sides $9$ feet and $12$ feet and the perimeter is $32$ feet, how long is the third side?

Find the length of each side of an equilateral triangle with perimeter of $81$ yards.

One side of a triangle is three times the smallest side. The third side is $9$ feet more than the shortest side. The perimeter is $39$ feet. Find the lengths of all three sides.

The height of a trapezoid is $5$ yards and the bases are $7$ and $10$ yards. What is the area?

A flag is shaped like a trapezoid with height $62$ centimeters and the bases are $91.5$ and $78.1$ centimeters. What is the area of the flag?

A circular fountain has radius $8$ feet. Find the

1. ⓐ circumference
2. ⓑ area of the fountain

Find the radius of a circle with circumference $345.4$ centimeters

a cube with sides that are $3$ feet long

a rectangular carton with length $32$ inches, width $18$ inches, and height $10$ inches

a sphere with radius $12$ meters

a soccer ball with radius $22$ centimeters

a cylinder with diameter $18$ inches and height $40$ inches

a cylindrical pylon with diameter $0.8$ feet and height $2.5$ feet

a cone with height $24$ feet and radius $8$ feet

a cone-shaped pile of gravel with diameter $6$ yards and height $5$ yards

Gus rode his bike for $1\frac{1}{2}$ hours at $8$ miles per hour. How far did he ride?

Jasmine took the bus from Pittsburgh to Philadelphia. The distance is $305$ miles and the trip took $5$ hours. What was the speed of the bus?

Solve for $r\text{:}$

1. ⓐ when $d=750$ and $t=15$
2. ⓑ in general

Solve for $h\text{:}$

1. ⓐ when $A=48$ and $b=8$
2. ⓑ in general

Solve for the time, $t$ for:

1. ⓐ $I=\text{\$3630}$, $P=\text{\$11,000}$, $r=5.5\%$
2. ⓑ in general

Solve the formula $2x+y=15$ for $y\text{:}$

1. ⓐ when $x=\mathrm{-5}$
2. ⓑ in general

Solve $180=a+b+c$ for $a.$

Solve the formula $-3x+y=\mathrm{-6}$ for $y.$

Solve the formula $V=LWH$ for $H.$

Describe how you have used two topics from this chapter in your life outside of math class during the past month.