Page 575 - Algebra 1

Determine whether the given side lengths form a Pythagorean triple.
(Ex. 2)
e. 5,9,11 f. 8,15,17 g. 4, √ 65,13
h. LengthofaLadder Aladderleaningagainstabuildingsatisfiesthe“1in (Ex 3) 4 rule” for the safe use of ladders. The bottom of the ladder is 8 ft from
the base of the building. The top of the ladder touches the building 32 feet above the ground. Find the length of the ladder to the nearest tenth.
Practice
Distributed and Integrated
Simplify.
1. 3√ 45 - √ 5
(69)
Factor completely.
3. -3t3 - 27t2 - 24t
(79)
4. 4x4 - 16x2 (79)
5. 2x2 +14-9x-x2 (72)
2. p-1 wx _ _
+ 5pq-3 )
Determine whether the polynomial is a perfect-square trinomial or a difference of two squares. Then factor the polynomial.
6. 3g2 -12 7. 9x2 -24x+16 (83) (83)
Write the equations in the standard form of a quadratic function, if possible. 8. 4+y=-8+16x
(84)
9. y+x2 =3x2 -10x+12 (84)
Solve.
10.
(24)
11.
(28)
12.
(70)
13.
(65)
14.
(69)
15.
(77)
0.7 + 0.05y = 0.715 _1 + _3 x = _1 x + 2
Find the solution of -1.2x ≥ -4.8. Then graph the solution set.
Write an equation for a line that passes through (1, 5) and is parallel to y = -3_1 x - 9. 2
Gardening Niko wants to build a fence around his garden. If his garden measures 2√ 4 feet by √ 25 feet, how many feet of fencing does Niko need?
Verify Show that the solution to _x + 6 ≤ 10 is x ≥ -20. -5
2 4 6
(39) w (cp-2q-4
560
Saxon Algebra 1