Word Problems Algebra Worksheet

**Page 1**

1.

The table shows the perimeter and side lengths of three equilateral triangles.

Perimeter of the triangle
## Answer: ()Correct answer : (0) 2.
A car travels at an average speed of
## Solution:LetThe time taken by the car to travel 180 minutes = 3 hours [Convert minutes into hours.] The average speed of the car = 55 miles/hour. Distance traveled by the car, [Replace the variables with the values, given.] = 165 [Multiply.] The car traveled a distance of 165 miles in 180 minutes. Correct answer : (2) 3.
The formula for the volume of a rectangular pyramid is
## Solution:V = ([Formula.] 3V = ( [Multiply by 3 on each side.] 3V = [Simplify.] [Divide each side by [Simplify.] So, the height of the rectangular pyramid is Correct answer : (2)
4.
The perimeter of a rectangular wallpaper is
## Solution:P = 2[Perimeter of a rectangle.] 46 = 2 [Replace the variables with the values, given.] 46 = 2 [Multiply.] 46 - 20 = 2 [Subtract 20 from each side.] 26 = 2 [Simplify.] [Divide each side by 2.] 13 = [Simplify.] So, the length of the rectangular wallpaper is 13 inches. Correct answer : (3) 5.
An airplane flew
## Solution:An airplane flew 1182 miles at an average speed of 394 miles/hour.Time = [Formula.] Time = [Substitute.] = 3 [Simplify.] The airplane took 3 hours to travel 1182 miles. Correct answer : (2) 6.
Arthur left his house at 4:00 p.m. and drove directly to his aunt's house, which is
## Solution:The time taken by Arthur to reach his aunt's house = 8 - 4 = 4 hoursThe distance from Arthur's house to his aunt's house = 312 miles Speed = [Formula.] = [Replace the variables with the values, given.] = 78 [Simplify.] The average speed with which Arthur drove is 78 miles/hour. Correct answer : (3) 7.
The average of 41 non-negative integers is 23.4. Find their sum.
## Solution:The sum of the numbers = Average of the numbers x count of the numbers[Formula.] = 23.4 x 41 [Substitute the values.] = 959.4 [Simplify.] The sum of the numbers is 959.4. Correct answer : (3) 8.
The formula
## Solution:F = ([Formula.] F - 32 = ( [Subtract 32 from each side.] F -32 = ( [Simplify.] 5(F - 32) = 5 x ( [Multiply by 5 on each side.] 5(F - 32) = 9C [Simplify.] [Divide by 9 on each side.] [Simplify.] The formula C = Correct answer : (2) 9.
Find the celsius temperature that corresponds to a room temperature of
^{o}F
## Solution:F = ([Formula.] 50 = ( [Replace the variable with the value, given.] 50 - 32 = ( [Subtract 32 from each side.] 18 = ( [Simplify.] (5)(18) = 5 x ( [Multiply by 5 on each side.] 90 = 9C [Simplify.] [Divide each side by 9.] 10 = C [Simplify.] The Celsius temperature corresponding to 50 ^{o} F is 10^{o}C.Correct answer : (3) 10.
Convert
^{o}C
## Solution:F = ([Original formula.] F = ( [Substitute 25 for C.] = (9)(5) + 32 [Divide.] = 45 + 32 [Multiply.] = 77 [Simplify.] 25 ^{o}C is equal to 77^{o}F.Correct answer : (1) |