By Jerry Bobrow
Read Online or Download Cliffs QuickReview algebra 1 PDF
Similar algebra books
Globalizing pursuits is an cutting edge research of globalization "from inside," the response of nationally constituted curiosity teams to demanding situations produced by means of the denationalization procedure. The members concentrate on enterprise institutions, exchange unions, civil rights firms, and right-wing populists from Canada, Germany, nice Britain, and the USA, and consider how they've got replied to 3 super globalized factor components: the net, migration, and weather swap.
Extra info for Cliffs QuickReview algebra 1
X - 3 = 13 x Example 5: Express the answers with positive exponents. (a) a - 2 b = b2 a -3 (b) a 4 = 31 b a b4 (c) ` a 2 b - 3 j ` a - 1 b 4 j = ab R 2 -1 V Sa $ a = a W S -3 4 W Sb $ b = b W T X Polynomials A polynomial consists of two or more terms. For example, x + y, y2 – x2, and x2 + 3x + 5y2 are all polynomials. A binomial is a polynomial that consists of exactly two terms. For example, x + y is a binomial. A trinomial is a polynomial that consists of exactly three terms. For example, y2 + 9y + 8 is a trinomial.
Example 5: Solve for x and y. x=y+8 x + 3y = 48 From the first equation, substitute (y + 8) for x in the second equation. (y + 8) + 3y = 48 Now solve for y. Simplify by combining y’s. 4y + 8 = 48 -8 -8 4y = 40 4y 40 = 4 4 y = 10 Now insert y = 10 in one of the original equations. x=y+8 x = 10 + 8 x = 18 Answer: y = 10, x = 18 Chapter 5: Equations with Two Variables 53 Graphing method Another method of solving equations is by graphing each equation on a coordinate graph. The coordinates of the intersection will be the solution to the system.
Example 3: Solve for a and b. 3a + 4b = 2 6a + 8b = 4 The second equation is actually the first equation multiplied by 2. In this instance, the system is unsolvable. Example 4: Solve for p and q. 3p + 4q = 9 2p + 2q = 6 Multiply the second equation by 2. (2)2p + (2)2q = (2)6 4p + 4q = 12 Now subtract the equations. 3p + 4q = 9 ^ - h 4p + 4q = 12 -p = -3 p = 3 52 CliffsQuickReview Algebra I Now that you know p = 3, you may plug in 3 for p in either of the two original equations to find q. 3p + 4q = 9 3(3) + 4q = 9 9 + 4q = 9 4q = 0 q=0 Answer: p = 3, q = 0 Substitution method Sometimes a system is more easily solved by the substitution method.
Cliffs QuickReview algebra 1 by Jerry Bobrow