Do Now 1/26/10 Copy HW in your planner. Copy HW in your planner. –Benchmark Test 4 review worksheet 2-14 evens, all Be ready to finish Chapter 7 Test. Be ready to finish Chapter 7 Test. Count down to the mid-term – 3 school days!! Count down to the mid-term – 3 school days!!

Algebra Mid-Term Preview Friday, January 29 th Friday, January 29 th Two hours from 8:00-10:00. (Periods 1 – 3). Two hours from 8:00-10:00. (Periods 1 – 3). 45 Total Questions 45 Total Questions –Part I: (No calculator) 10 multiple choice 10 multiple choice 4 short constructed 4 short constructed 1 open-ended 1 open-ended –Part II: (calculator) 20 multiple choice 20 multiple choice 6 short constructed 6 short constructed 4 open-ended 4 open-ended

Tuesday – Chapters 1-4 review Tuesday – Chapters 1-4 review Wednesday– Chapters 5, 6, & 7 review Wednesday– Chapters 5, 6, & 7 review Thursday– Mid-Term practice Thursday– Mid-Term practice Friday – MID-TERM Friday – MID-TERM Algebra Mid-Term Schedule

Objective SWBAT review Chapter 1-4 topics for Mid-Term SWBAT review Chapter 1-4 topics for Mid-Term

Chapter 1 Expressions, Equations, & Functions

Section 1.1- Evaluate Expressions when x is equal to 5. Section 1.2- Order of Operations Section 1.3- Write Expressions Twice a number d plus 8. Section 1.4- Write Inequalities and Equations The sum of twice a number b and 3 is less than 12. Section 1.5- Problem Solving What is the interest on an investment of $1000 at 8% over 5 years? $400

Section 1.7- Represent Functions as Graphs What is the rule of this function? What is the domain and range? Domain is 0,1,2,3 and Range is 2.2,3.2,4.2,5.2 y = x Section 1.6- Represent Functions as Rules and Tables What is the domain and range of the function? What is the rule? x0123 y y = x ÷ 2 Domain is 0,2,4,6,8 Range is 0,1,2,3,4

Chapter 2 Properties of Real Numbers

“Real Numbers” Real Numbers Rational Numbers Integers WholeNumbers Whole Numbers 0,1,2,3,4,5… 0,1,2,3,4,5… Integers Integers -3,-2,-1, 0,1,2,3… Rational Numbers Rational Numbers numbers that can numbers that can represented as a ratio or fraction

Properties of Real Numbers 1). Commutative Property 2). Associative Property 3). Identity Property 4). Inverse Property 5). Property of Zero 6). Property of -1

Chapter 3 Solving Linear Equations

Section 3.1- Solve One-Step Equations Section 3.2- Solve Two-Step Equations Section 3.3- Solve Multi-Step Equations Section 3.4- Equations with Variables on Both Sides Section 3.5- Ratios and Proportions No solution

Section 3.7- Solve Percent Problems What number is 15% of 88? Section 3.6- Solve Proportions Using Cross Products Section 3.8- Rewrite Equations and Formulas Solve the equation so that y is a function of x. 12 = 9x + 3y y = 4 – 3x Solve the interest equation for P.

Chapter 4 Graphing Linear Equations and Functions

Section 4.1 “Coordinate Plane” y-axis x-axis Origin (0,0) (0,0) Quadrant I (+,+) Quadrant II (-,+) Quadrant III (-,-) Quadrant IV (+,-)

Section 4.2 “Graph Linear Equations” Solve the equation for y. STEP 1 SOLUTION Graph the equation y + 2x = 4. STEP 2 Make a table by choosing a few values for x and then finding values for y. STEP 3 Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.x-2012y86420

Section 4.3 “Graph Using Intercepts” Graph the equation 6x + 7y = 42. 6x + 7y = 42 x =  x- intercept 7 Find the x-intercept 6x + 7(0)=42 6(0) + 7y = 42 y =  y- intercept 6 6x + 7y = 42 Find the y-intercept Plot points. The x-intercept is 7, so plot the point (7, 0). The y- intercept is 6, so plot the point (0, 6). Draw a line through the points.

(0, 6) and (5, –4) m = y 2 – y 1 x 2 – x 1 Let (x 1, y 1 ) = (0, 6) and (x 2, y 2 ) = (5, – 4). – 4 – 6 5 – 0 = Write formula for slope. Substitute. Simplify = – = – 2 Find the slope of the line that passes through the points Section 4.4 “Find Slope and Rate of Change”

Section 4.5 “Graph Using Slope-Intercept Form” SLOPE-INTERCEPT FORM- a linear equation written in the form y = mx + b slopey-intercept y-coordinatex-coordinate

Graph Using Slope and the Y-Intercept Graph the equation 3y – 2x = 3. STEP 1 Rewrite the equation in slope-intercept form. Identify the slope and the y- intercept. STEP 2 STEP 3 Plot the point that corresponds to the y- intercept, (0, 1). STEP 4 Use the slope to locate a second point on the line. Draw a line through the two points. = 2/3 m and = 1 b y = + 1 y = x Slope of 2/3 means:

Determine which of the lines are parallel. Find the slope of each line. Line a: m = – 1 – 0 – 1 – 2 – 3 – (–1 ) 0 – 5 = – 1– 1– 1– 1 – 3– 3– 3– 3 13 = Line b: m = – 2– 2– 2– 2 – 5– 5– 5– 5 = 2 5 = Line c: m = – 5 – (–3) – 2 – 4 – 2– 2– 2– 2 – 6– 6– 6– 6 = 1 3 = Line a and line c have the same slope, so they are parallel.

Section 4.7 “Graph Linear Functions” Function Notation- a linear function written in the form y = mx + b where y is written as a function f. f(x) = mx + b slope y-intercept x-coordinate f(x) is another name for y. It means “the value of f at x.” g(x) or h(x) can also be used to name functions This is read as ‘f of x’

Graph a Function x-2012f(x) STEP 1 SOLUTION Graph the Function f(x) = 2x – 3 STEP 2 Make a table by choosing a few values for x and then finding values for y. STEP 3 Plot the points. Notice the points appear on a line. Connect the points drawing a line through them. The domain and range are not restricted therefore, you do not have to identify.

Compare graphs with the graph f(x) = x. Graph the function g(x) = x + 3, then compare it to the parent function f(x) = x. Graph the function g(x) = x + 3, then compare it to the parent function f(x) = x. x f(x ) f(x) = x x f(x ) g(x) = x + 3 The graphs of g(x) and f(x) have the same slope of 1.

Homework –Benchmark Test 4 review worksheet 2-14 evens, all

Benchmark Test 1 review worksheet evens 32) -5/24 32) -5/24 34) ) ) 12 36) 12 38) ab 38) ab 40) 12 40) 12 42) 2 / 75 42) 2 / 75 44) 11 44) 11 46) ±8 46) ±8 48) A 48) A 50) 6 50) 6 52) Yes; any whole # can be expressed as the quotient of itself divided by 1. 52) Yes; any whole # can be expressed as the quotient of itself divided by 1. 54) -6.9, -21/4, |-7|, √50 54) -6.9, -21/4, |-7|, √50 56) D 56) D 58) C 58) C 60) 8x³ - 10x² 60) 8x³ - 10x² 62) 2x + x² - 2xy 62) 2x + x² - 2xy 2) 15 2) 15 4) 49 4) 49 6) -29 6) -29 8) B 8) B 10) A 10) A 12) No 12) No 14) Yes 14) Yes 17) 50p – [100(0.60) + 50] = 100; you should sell each magnet for $ ) 50p – [100(0.60) + 50] = 100; you should sell each magnet for $ a) 7r + 5c b) 7r + 5c ≤ 35 c) Yes; 7(2) + 5(3) = 29 which is ≤ 35 18a) 7r + 5c b) 7r + 5c ≤ 35 c) Yes; 7(2) + 5(3) = 29 which is ≤ 35 20) y = 4x 20) y = 4x 22) (-2,-5), (0,-1), (2,3), (4,7) 22) (-2,-5), (0,-1), (2,3), (4,7) 24) a) on board b) p = 2n c) ) a) on board b) p = 2n c) ) Domain: 1,2,3,4,5; Range: 1,2,3,4 26) Domain: 1,2,3,4,5; Range: 1,2,3,4 28) a) s = 2.5w b) on board 28) a) s = 2.5w b) on board 30) –a = -0.2; |a| = ) –a = -0.2; |a| = 0.2

Benchmark Test 2 review worksheet evens 32a) x = (a+d)/(c-b) 32a) x = (a+d)/(c-b) b) x = 7 b) x = 7 34) B 34) B 36) y = -x ) y = -x ) y = -2x – 3 38) y = -2x – 3 40) on board 40) on board 42) on board 42) on board 44) (0,13), (3,9), (6,5), (9,1) 44) (0,13), (3,9), (6,5), (9,1) 46) on board 46) on board 48) on board 48) on board 50) x-int: -10; y-int: 6 50) x-int: -10; y-int: 6 52) C 52) C 56a) y = -1/3x a) y = -1/3x ) C 58) C 2) h = 8 2) h = 8 4) b = -9 4) b = -9 6) m = 12 6) m = 12 8) a = 3.3 8) a = ) d = 53/4 10) d = 53/4 12) v = 1/5 12) v = 1/5 14) D 14) D 16a) 3/2 b) 2/5 16a) 3/2 b) 2/5 18) w = 8/5 18) w = 8/5 20) x = 12 20) x = 12 22) v = 1/2 22) v = 1/2 24a) 2 ¼ cups b) 3 3/8 cups 24a) 2 ¼ cups b) 3 3/8 cups 26) A 26) A 28) B 28) B 30) $30 30) $30

Benchmark Test #3 #2-56 evens 2) C 2) C 4) y = -2x + 2 4) y = -2x + 2 6) y + 9 = -13/11(x – 5) 6) y + 9 = -13/11(x – 5) 8a) p/q b) –px + qy = qp 8a) p/q b) –px + qy = qp 10) y = 3/4x – 15/4 10) y = 3/4x – 15/4 12) y = -5/2x ) y = -5/2x ) positive correlation 14) positive correlation 16) relatively no correlation 16) relatively no correlation 18) B. y = 2x + ½ 18) B. y = 2x + ½ 20) on next slide 20) on next slide (b.) p = -12t (b.) p = -12t (c.) ≈ 910 (c.) ≈ ) on next slide 22) on next slide 24) A 24) A 26) -3 < x ≤ 4 26) -3 < x ≤ 4 28) on next slide 28) on next slide 30) on next slide 30) on next slide 32) x > -7 32) x > -7 34) x > -3 34) x > -3 36) f ≤ ) f ≤ ) no solution 38) no solution 40) 2 > b ≥ -5 40) 2 > b ≥ -5 42) c < -11/2 or c ≤ -6 42) c < -11/2 or c ≤ -6 44) C 44) C 46) x = -13 or x = 13 46) x = -13 or x = 13 48) m = -7/2 or m = 15/2 48) m = -7/2 or m = 15/2 50) d = -6 or d = 0 50) d = -6 or d = 0 52) -2 < z < 2 52) -2 < z < 2 54) p > 1 or p 1 or p < -3 56) B 56) B

Benchmark Test #3 #2-56 evens 20) 20) 22) 22) 26) 26) 28) 28) 30) 30)