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Algebra Name: _____________________ CH 4 and 5 Review Date: ______ Group: __________ Topics corresponding to sections in the text book You should refer to problems in this packet and the textbook to review for your unit test! Find the slope of a line given two points – 4.4 Write the equation of a line in slope intercept form – 4.5 Write the equation of a line given: The slope and the y-intercept of the line – 5.1 The line graphed on the coordinate plane – 5.1 The slope and a point on the line – 5.2 Two points on the line – 5.2 The equation of a line parallel to the line and a point on the line – 5.2 The equation of a line perpendicular to the line and a point on the line – 5.2 Model a real-life situation with algebra (equation) Determine if a point in a solution to an equation (lies on the line) – 4.2 Find the x- and y-intercepts of a line given the equation of a line – 4.3 Sketch the graph of a line using: The slope-intercept form of the line – 4.5 The slope and y-intercept of a line – 4.5 The x-and y-intercept of a line – 4.3 A table of values - 4.2 Solving Equations – Chapter 3 Chapter 3 Review Solve and Check each equation. 1. 3(x – 12) = 5x + 2 2. -2(4 – x) – 7 = 5 3. 2 (3 x 9) 4( x 6) 3 4. -9(5 + x) = -10 – 2x Chapter 4 Review 1. Decided whether the given ordered pair is a solution of the equation. a. 5x + 3y = 2; (1, -1) 2. b. ½x + 4 = 10y; (2, ½) Find the x- and y-intercepts of the graph of the equation. a. 4x + 5y = 8 b. 4y + 9 = 5x c. 7 – 12x = 3y 3. 3y – 10x = 4 Find the slope of the line passing through the given points. a. (-4, 6), (-3, 2) 4. d. b. (-10, -7), (1, -2) Write the equation in slope-intercept form then sketch the graph. a. 6x – 3y = 3 b. 2y + x = 10 5. Decide whether the graphs of the two equations are parallel lines. a. y = 3x + 2, y = 1 x 3 b. 3y = 15x + 4, y = 5x + 1 Chapter 5 Review 1. Write an equation of the line in slope-intercept form. a. The slope is -3; the y-intercept is 5. b. The slope is 4; the y-intercept is 0. 2. Write an equation of the line in slope-intercept form, given the following information. a. (0, 3); (-4, 0) b. (3, 2); m = ½ c. (-5, 3); (4, -5) d. (1, 2); m = 2 e. parallel to the line y = 2x + 3, passing through (-4, 1) f. perpendicular to the line y = -3x + 5, passing through (4, 3) 3. You are at the music store looking for CDs. The store has CDs for $10.99 and $14.99. You have $55.00 to spend. Write an equation that represents the different numbers of $10.99 and $14.99 CDs that you can buy. 4. You have $12 to buy peaches and blueberries for a fruit salad. Peaches cots $1.50 per pound and blueberries cost $4.00 per pound. Write a linear equation that models the different amounts of peaches and blue berries that you can buy.