Page 703 - Algebra 1

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Error Analysis Two students want to find the length of the sides of a square with an area that is 720 square meters less than 1161 square meters. Which student is correct? Explain the error.
Student A
x2 + 720 = 1161 -__72_0 -__72_0
x2 = 441 √ x2 =±√ 44 1
x = ±21
The sides of the square are ±21 m.
Student B
x2 + 720 = 1161 -__72_0 -__72_0
x2 = 441 √ x2 =±√ 44 1
x = ±21
The sides of the square are 21 m.
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Multi-Step Dominic wants to fence the perimeter of his property. The property is in the shape of a square. The area of the yard is 12,600 ft2, and the area of the house is 1800 ft2.
a. Write an equation to find the length of the sides of the property.
b. Solve the equation.
c. How many feet of fencing will Dominic need?
Banking Serena places $1000 in an interest-earning account where the interest compounds annually. After two years, there is $1123.60 in the account. Use the formula $1000(1 + r)2 = $1123.60 to find the interest rate of the account.
Verify True or False: If 8x2 - 72 = 0, then x = ±3. If the answer is false, provide the correct answer.
Estimate Find the length of the side of a square with an area of 680 square kilometers. Round to the nearest thousandth.
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Solve and graph the inequality ⎢x⎢ + 6 < 13.
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Coordinate Geometry One side of a rectangle drawn in the coordinate plane has
points whose y-coordinates are 7 and whose x-coordinates are the solutions of the inequality ⎢x + 1⎢ - 8 ≤ -4. Another side has points whose x-coordinates are -5 and whose y-coordinates are solutions of the inequality ⎢y - 4⎢ + 6 ≤ 9. a. Solve the inequality ⎢x + 1⎢ - 8 ≤ -4.
b. Solve the inequality ⎢y - 4⎢ + 6 ≤ 9.
c. What are the coordinates of the four vertices of the rectangle?
Find the product of (x - 7)(-7x2 - x + 7) using the vertical method. Graph the function y = 4x2 + 6.
WaterBalloons Awaterballoonisdroppedfromathird-storywindow.Itsheight in feet is represented by h = -16t2 + 30. How high is the balloon after 1 second?
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Saxon Algebra 1