( u. Algebra Review Day 1. PreCalculus y _2z0l1W7] LKOuGtzaE lsmotfbtowtacrbec elqloci.y H VAvlUle LrfiKgphUthsA qrdedsmemrmvpebdw. Name.
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1 PreCalculus y _z0l1w7] LKOuGtzaE lsmotfbtowtacrbec elqloci.y H VAvlUle LrfiKgphUthsA qrdedsmemrmvpebdw. Algebra Review Day 1 Simplify. Name Date Period 1) 5 (64xy ) x y Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. ) ( u v ) 1 4 vu v -1 Factor each completely. ) 4n - 1n - n + Factor each. 4) f (x) = x 5 + x 4-10x - 0x + 16x +
2 5) f (x) = 7x 5-45x x - 0x + x - 5 Simplify each expression. 6) 5r - 5r - r r r + r - 1 Simplify. 7) 5 -
3 Solve each equation. Remember to check for extraneous solutions. 8) x + x = x + 4 x - 5x - 0 x - 5x Solve each inequality. 9) r ) -5n > 45 Write the slope-intercept form of the equation of the line through the given point with the given slope. 11) through: (-4, ), slope = Write the slope-intercept form of the equation of the line through the given points. 1) through: (1, -) and (4, 1)
4 Write the slope-intercept form of the equation of the line described. 1) through: (, -4), parallel to y = -x - 14) through: (, 0), perp. to 6x + 4y - 4 = 0 15) Assume that M varies directly as z, and M = 16 if z = 14. Write an equation that expresses this variation. 16) In a certain city, the property tax collected for a home varies directly to the valuation of the property. The tax collected on a $105,000 home is $,846 per year. What is the value of a home if the tax collected is $1,75? 17) The resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire 50 m long and 1 cm in diameter has a resistance of 5 ohms. Find the resistance of a wire made of the same material that is 0 m long and has diameter 0 mm.
5 PreCalculus r ld0^1i7i LKCuut[aX HSLoWf\tRwKarrzeU kldldci.\ \ KAPlllh qrhimguhqtsse FrPeqsNeLrFvJeldg. Algebra Review Day 1 Simplify. Name Date Period 1) 5 (64xy ) x y 80xy x Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. ) ( u v ) 1 4 vu v -1 v 4 u Factor each completely. ) 4n - 1n - n + (n + 1)(n - 1)(n - ) Factor each. 4) f (x) = x 5 + x 4-10x - 0x + 16x + f (x) = (x + )(x - 8)(x - ) I will give them x = - as the rational root, but we would discuss what all of the possibilites would be. Then do synthetic division.
6 5) f (x) = 7x 5-45x x - 0x + x - 5 f (x) = (x - 5)(x + 1) I will give them x = 5 as the rational root, but we would discuss what all of the possibilites would be. Then do synthetic division. Simplify each expression. 6) 5r - 5r - r r - 1r + 17r - 5r(r - 1)(r + 1)(r - 1) r r + r - 1 Simplify. 7)
7 Solve each equation. Remember to check for extraneous solutions. 8) x + x { 0 } = x + 4 x - 5x - 0 x - 5x Solve each inequality. 9) r r 8 10) -5n > 45 n < -9 or n > 9 Write the slope-intercept form of the equation of the line through the given point with the given slope. 11) through: (-4, ), slope = y = x - Write the slope-intercept form of the equation of the line through the given points. 1) through: (1, -) and (4, 1) y = 4 x - 1
8 Write the slope-intercept form of the equation of the line described. 1) through: (, -4), parallel to y = -x - y = -x + 14) through: (, 0), perp. to 6x + 4y - 4 = 0 y = x - 15) Assume that M varies directly as z, and M = 16 if z = 14. Write an equation that expresses this variation. M = 9z 16) In a certain city, the property tax collected for a home varies directly to the valuation of the property. The tax collected on a $105,000 home is $,846 per year. What is the value of a home if the tax collected is $1,75? $ 64, ) The resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire 50 m long and 1 cm in diameter has a resistance of 5 ohms. Find the resistance of a wire made of the same material that is 0 m long and has diameter 0 mm..5 ohms
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