A. Solve the following problems by showing your complete solutions. 1. The product of two consecutive even integers is 224. Find the numbers.

Algebra: Structure And Method, Book 1
(REV)00th Edition
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Section3.6: Problem Solving: Using Charts
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ASSESSMENT 7
NAME:
SECTION:
A. Solve the following problems by showing your complete solutions.
1. The product of two consecutive even integers is 224. Find the numbers.
2. Find two numbers whose sum is 28 and whose sum of squares is 400.
3. The length of a rectangle is 6 cm more than its width. Find its length and width when its area
is 40 cm2.
4. The area of the rectangular field is 160cm2and its length is twice its width. Find the
dimensions of the field.
5. The hypotenuse of a right triangle is 17 cm. How long are the legs if one is 7 cm longer than
the other.
6. If the square of a number is added to eight times the number, the sum is 105. Find the
number.
7 The difference between two numbers is 8 while their product is 128. Find the two numbers.
8. A number is 110less than its multiplicative inverse. Find the number.
9. The length of a rectangle is 3 cm more than its width when its area is 28 cm2.Find the
dimensions.
10. When 8 is divided by a certain number, the result is the same as wben 12 is subtracted from
the number and the difference is divided by 8. Find the number (Ctri)
Transcribed Image Text:ASSESSMENT 7 NAME: SECTION: A. Solve the following problems by showing your complete solutions. 1. The product of two consecutive even integers is 224. Find the numbers. 2. Find two numbers whose sum is 28 and whose sum of squares is 400. 3. The length of a rectangle is 6 cm more than its width. Find its length and width when its area is 40 cm2. 4. The area of the rectangular field is 160cm2and its length is twice its width. Find the dimensions of the field. 5. The hypotenuse of a right triangle is 17 cm. How long are the legs if one is 7 cm longer than the other. 6. If the square of a number is added to eight times the number, the sum is 105. Find the number. 7 The difference between two numbers is 8 while their product is 128. Find the two numbers. 8. A number is 110less than its multiplicative inverse. Find the number. 9. The length of a rectangle is 3 cm more than its width when its area is 28 cm2.Find the dimensions. 10. When 8 is divided by a certain number, the result is the same as wben 12 is subtracted from the number and the difference is divided by 8. Find the number (Ctri)
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