Pre-calc exam 1 review

# Pre-calc exam 1 review - Pre-Calculus Unit 1(Section P.7...

This preview shows pages 1–2. Sign up to view the full content.

Pre-Calculus Unit 1 (Section P.7 – 1.9) Review Section P.7 * linear equations: form is 0, 0 ax b a + = (largest power on variable is 1) * solve linear equations by isolating x on one side of the equation. * equations involving rational equations eliminate the denominators by multiplying each side by the LCD remember to note restrictions on the variable * domain of a rational expression (what ‘x’ can be) * domain restriction of a rational expression (what ‘x’ cannot be) * solving formulas for a specified variable * quadratic equations: form is 2 0, 0 ax bx c a + + = (largest power on variable is 2) * be able to solve by following 4 methods : factoring, square root method, completing the square, or quadratic formula: a ac b b x 2 4 2 - ± - = Memorize!! * the factoring and quadratic formula method requires that we have a zero on one side of the quadratic equation * discriminant is 2 4 b ac - If discriminant is positive: 2 real solutions If discriminant is zero: 1 real solution If discriminant is negative: No real solutions (both answers are imaginary) * solving radical equations by isolating the radical on one side of the equal sign and then squaring each side. REMEMBER TO CHECK SOLUTIONS. * equations involving absolute value isolate the absolute value on one side; set up two equations if you have the absolute value equal to a positive real number Section P.8 * application problems; be able to set up the equations and solve * cost function: cost = fixed cost + variable cost * Pythagorean Theorem: 2 2 2 c b a = + (‘c’ must be the hypotenuse) Memorize!! Section P.9 * interval notation * B A (A intersection B; Think ‘And’); B A (A union B; Think ‘Or’) * linear inequalities – remember to flip the direction of the inequality when multiplying or dividing each side of the inequality by a negative number * absolute value inequalities – two cases… (c is a positive number) (B. box P.171) 1. The inequality, c < expression is written without the absolute value signs as c c < < - expression . This means c < expression AND c - expression . 2.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/23/2010 for the course MATH 115 taught by Professor Mcbride,v during the Fall '08 term at University of South Dakota.

### Page1 / 5

Pre-calc exam 1 review - Pre-Calculus Unit 1(Section P.7...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online