Page 725 - Algebra 1

Simplify.
10.
(43)
*12.
(104)
*13.
(103)
11x + 22 11. √ 63 __
22x2 + 44x (103) √ 18
Geometry The base of a right triangle is 14 units longer than its height. The
hypotenuse is 26 units. What are the base and height measurements of the triangle?
Error Analysis Two students simplified the given expression. Which student is correct? Explain the error.
Student A
_5
√ 8
_5 ·_1
2√ 2 √ 2
_5 4
Student B
_5
√ 8
5 · √ 2 __
2√ 2 √ 2 5 √ 2
_ 4
Architecture In the city of Rotterdam, Netherlands, architect Piet Blom designed
a group of cube-shaped houses that each sit upon its vertex. If the surface area of
(98)
16.
(99)
17.
(60)
18.
(10 0)
19.
(10 0)
20.
(101)
21.
(102)
*14.
(103)
15.
each cube measures 337_1 square meters, write a rational expression representing 2 _A
the edge length of the cube. (Hint: edge length = √6 ) Find the roots: 14x2 - 2x = 3 - 21x.
3 4
Construction It takes a woman 3 hours to build a doghouse. Her husband can build it in 4 hours. How long will it take them if they build the doghouse together?
Use mental math to find the product of 292.
Horseshoes Shannon plays a game of horseshoes. The horseshoe’s movement
forms a parabola given by the quadratic equation h = -16t2 + 6t + 6 where h is the height in feet and t is the time in seconds. Find the maximum height of the path the horseshoe makes and the time t when the horseshoe hits the ground. Round to the nearest hundredth.
Measurement A puddle of water creates a shape on the ground. As time increases, the area of the puddle changes. The area of the puddle is given by the function A = 3t2 + 8t - 70, where A is the area in square feet and t is the time in seconds. Find the time when the area is 55 square feet. Round to the nearest hundredth.
Solve and graph the inequality 2⎢x - 12 > -5.
Verify True or False: 4x2 - 64 = 0; x = 4. Verify that the answer is true. If the
answer is false, provide the correct answer.
710
Saxon Algebra 1