[1] [2.3 b,c] [2] [2.3b] 3. Solve for x: 3x 4 2x. [3] [2.7 c] [4] [2.7 d] 5. Solve for h : [5] [2.4 b] 6. Solve for k: 3 x = 4k

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1 1. Solve for x: 4( x 5) = (4 x) [1] [. b,c]. Solve for x: x 1.6 = x [] [.b]. Solve for x: x 4 x 14 [] [.7 c] 4. Solve for x:.x. 4 [4] [.7 d] 5. Solve for h : 1 V = Ah [5] [.4 b] 6. Solve for k: x = 4k + 1 [6] [.4 b] 7. Write an equation for the perimeter P of a rectangle whose length is 6 feet longer than its width. [.6 a] [7] 8. Write an equation that would allow you to find each angle. [8] The measure of the second angle of a triangle is 51 more than C that of the first angle. The measure of the third angle is less than twice the first angle.(do not solve) [.6 a] A B 9. Find the original price of a suit if the sale price is $46 after a % discount. Round to two decimal places. [9] [.5 a] 1. A birthday celebration meal is $4.5 including tax. Find the total [1] Cost if a 15% tip is added to the cost. Round to two decimal places. [.5 a] 11. Graph the solution set given by 4 x < 5 See Graph [11] [.7 b] Find the slope of the line that passes through the [1] points ( 6, 5) and ( 1, ). [.4 a] 1. Find the slope of the line x + y = 4 [1] [.4 c] 1/1/8 PAGE 1 OF 7

2 14. Graph the line x + y = 8, and identify the coordinates of the x-intercept See Graph [14] and the y-intercept. [. a] (, ) [14] x-intercept ( ), [14] y-intercept 15. Find the slope of the line that is graphed. [15] [.4 b] 16. Graph the following set of points and connect to make a line. Which quadrants contain no points for this line? Circle: I, II, III, IV See Graph [16] [. a] x y According to federal regulations, a wheelchair ramp should rise no more than 1 foot for a horizontal distance of 1 feet. Write the slope as a grade. Round to the nearest tenth of a percent. [.4 b] [17] 1/1/8 PAGE OF 7

3 18. The graph below approximates the number of U.S. travelers in millions that are vacationing per year. Find the slope or rate of change of number of people vacationing with respect to year. [18] [.4 b] 19. Evaluate ( 4) [19] [4.1 b]. Evaluate x y when x = and y = 5 [] [4.1 c] 1. Simplify. Write the result using only positive exponents for each variable: a [4.1 f, 4. b] [1] b. Express in scientific notation: 56, [] [4. c]. Simplify. Write the answer in standard form: [] [4. c, d] ( ) ( ) 4. Add. (8x + 7x + 4x 7) + (8x 7x 6) [4] [4.4 a] 5. Subtract. ( 5 + x + 5x ) ( 8x 4x + x 7) [4.4 c] x [5] 6. Multiply and simplify. ( + 7)( x 5) [4.5 c] x [6] 7. Multiply and simplify. ( 4x ) [7] [4.6 c] x [8] [4.5 b] 9. Divide. 5 9x 1x + 6x x [9] [4.8 a]. Divide. ( x + 7x + 1 ) ( x + 5) [] [4.8 b] 8. Multiply. ( x x + 7) 1/1/8 PAGE OF 7

4 1. Factor. 9x x [1] [5.1 b]. Factor by grouping. 4 ( + ) y( a + ) a [] [5.1 c]. Factor. x 5x + [] [5. a, 5.4 a] 4. Factor completely. 16x 4 1 [4] [5.5 c, d] 5. Factor. [5.7 a] x xy 4y [5] 6. Solve by factoring. x = 1x 6 [6] [5.8 b] 7. Solve the equation using the principle of zero products. [7] [5.8 a] x ( x 4) = 8. Find the lengths of the sides of a right triangle if the hypotenuse is 1 centimeters longer than the shorter leg and 5 centimeters longer than the longer leg. [5.9 b] [8] 9. An object is dropped from the top of the building. The altitude h of the object after t seconds is given by the equation h = 16t Find how many seconds pass before the object reaches the ground. [9] [5.9 a] 4. The deck for a home is in the shape of a triangle. The length of the base of the triangle is 9 feet longer than its height. If the area of the triangle is 68 square feet find the length of the base. 1 [5.9 a] (Hint: area of triangle is given by A = bh ) [4] 41. Solve the system of equations using the graphing method. If there is only See Graph [41] one solution write the solution as an ordered pair. Otherwise, write no solution or infinitely many solutions as appropriate. [8.1 a] Solution: x y = x y = [41] 1/1/8 PAGE 4 OF 7

5 Solve the system of equations # 4 and #4 using either the substitution or elimination method. If there is only one solution write the solution as an ordered pair. Otherwise, write no solution or infinitely many solutions as appropriate. x + y = x + y = 1 [8. a, 8. a] x y = y x = 5 [8. a, 8. a] [4] [4] 44. Graph the inequality on a plane. See Graph [44] [9.4 b] y x Graph the system of inequalities. Shade the area that represents the system. See Graph [45] [9.4 c] x 4 y > 46. A financial Corporation makes an investment of $799 for one year at simple interest, yielding $97. Part of the money is invested at 7% and the rest at 9%. How much was invested at each rate? [8.4 a] [46] 1/1/8 PAGE 5 OF 7

6 KEY 1. x = 8. x =. x 1 4. x 8 5. V h = A 15. m = 16. Quadrant II 6. 1 k = x 4 7. P = 4l 1 or P = 4 w x + 48 = $ $ m = 1 1 m = 14 x -intercept: (4,) y -intercept: (,8) 17. Grade = 8.% million per year b a x + 7x x 1 5. x + 5x + 4x x + 16x x 4x + 9 1/1/8 PAGE 6 OF 7

8. 4 6x 9x + 1x 4. (4,-5) 9. x 4x +. x + 4. (-4,1) 44. 1. x (x 1).

7 8. 4 6x 9x + 1x 4. (4,-5) 9. x 4x +. x + 4. (-4,1) x (x 1). ( 4 y )( a + ). ( x 1)(x ) 4. (x 1)(x + 1)(4x + 1) 5. ( x + y)( x + 1 y) 6. x = 4 or 9 7. x = or 8. Hypotenuse = 5cm, Shorter leg = 15 cm, Longer leg = cm seconds feet 41. Solution: (-,-4) 46. $45.5 at 7% $155.5 at 9% 1/1/8 PAGE 7 OF 7

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h . Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of