Prealgebra 2e

# Practice Test

Prealgebra 2ePractice Test

### Practice Test

470.

Four-fifths of the people on a hike are children. If there are $1212$ children, what is the total number of people on the hike?

471.

The sum of $1313$ and twice a number is $−19.−19.$ Find the number.

472.

One number is $33$ less than another number. Their sum is $65.65.$ Find the numbers.

473.

Bonita has $2.952.95$ in dimes and quarters in her pocket. If she has $55$ more dimes than quarters, how many of each coin does she have?

474.

At a concert, $16001600$ in tickets were sold. Adult tickets were $99$ each and children’s tickets were $44$ each. If the number of adult tickets was $3030$ fewer than twice the number of children’s tickets, how many of each kind were sold?

475.

Find the complement of a $52°52°$ angle.

476.

The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is $1414$ more than the measure of the smallest angle. Find the measures of all three angles.

477.

The perimeter of an equilateral triangle is $145145$ feet. Find the length of each side.

478.

$ΔABCΔABC$ is similar to $ΔXYZ.ΔXYZ.$ Find the length of side $c.c.$

479.

Find the length of the missing side. Round to the nearest tenth, if necessary.

480.

Find the length of the missing side. Round to the nearest tenth, if necessary.

481.

A baseball diamond is shaped like a square with sides $9090$ feet long. How far is it from home plate to second base, as shown?

482.

The length of a rectangle is $22$ feet more than five times the width. The perimeter is $4040$ feet. Find the dimensions of the rectangle.

483.

A triangular poster has base $8080$ centimeters and height $5555$ centimeters. Find the area of the poster.

484.

A trapezoid has height $1414$ inches and bases $2020$ inches and $2323$ inches. Find the area of the trapezoid.

485.

A circular pool has diameter $9090$ inches. What is its circumference? Round to the nearest tenth.

486.

Find the area of the shaded region. Round to the nearest tenth.

487.

Find the volume of a rectangular room with width $1212$ feet, length $1515$ feet, and height $88$ feet.

488.

A coffee can is shaped like a cylinder with height $77$ inches and radius $55$ inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.

489.

A traffic cone has height $7575$ centimeters. The radius of the base is $2020$ centimeters. Find the volume of the cone. Round to the nearest tenth.

490.

Leon drove from his house in Cincinnati to his sister’s house in Cleveland. He drove at a uniform rate of $6363$ miles per hour and the trip took $44$ hours. What was the distance?

491.

The Catalina Express takes $112112$ hours to travel from Long Beach to Catalina Island, a distance of $2222$ miles. To the nearest tenth, what is the speed of the boat?

492.

Use the formula $I=PrtI=Prt$ to solve for the principal, $P,P,$ for:

1. $I=1380,r=5%,t=3I=1380,r=5%,t=3$ years
2. in general
493.

Solve the formula $A=12bhA=12bh$ for $h:h:$

1. when $A=1716A=1716$ and $b=66b=66$
2. in general
494.

Solve $x+5y=14x+5y=14$ for $y.y.$

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