3, 10,( 2, 4) Name. CP Algebra II Midterm Review Packet Unit 1: Linear Equations and Inequalities. Solve each equation. 3.
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1 Name CP Algebra II Midterm Review Packet Unit 1: Linear Equations and Inequalities Solve each equation. 1. x. x 4( x 5) 6x. 8x 5(x 1) 5 4. ( k ) k 4 5. x 4 x 6 6. V lhw for h 7. x y b for x z Find the slope of the line that passes through each pair of points. 8. 6, 5,(4,1) 9. 4,1.5,(4,6.5) 10. 6,8,( 4,8) 11., 10,(, 4)
2 Find the slope of the line Write the equation in slope-intercept form for each graph Graph each line. 18. y = 1 x x = 0. y 4x = 4
3 Find the x- and y-intercepts. 1. x 5y 10. x 4y 1 0 Find the slope of the line parallel to the given line.. a. 1 y x 7 b. 6x y 18 Find the slope of the line perpendicular to the given line. 4. a. y x 18 b. x 4y 16 State the slope and y-intercept of the graph of each equation. 5. x 5y 0 6. x 4y y 1 8. x 1 Determine if the lines are parallel, perpendicular or neither. 9. a. b. c. y x y x 11 y x 7 x y 6 x 168 y 49
4 Write the equation in slope-intercept form for the line that satisfies each set of conditions. 0. slope is, passes through (0,-6). 1. slope, passes through (-5,1). 4. passes through (-,5) and (,1).. passes through (7,1) and (6,). Solve each inequality. Graph the solution set. 4. z x 6 6. f Which of the following is a solution to the inequality x 5 9? a. 5 b. 6 c. 7 d Which of the following is NOT a solution to the inequality x 1 x 5? a. 16 b. 17 c. 18 d. 19
5 Graph each inequality y x x 5y 10 5 Unit : Systems of Linear Equations and Inequalities Graph the following systems of equations on the coordinate plane. Find the solution to the system. 41. x y 0 x y 6 4. y x x y 4 solution solution
6 Solve the system of equations by substitution or elimination: 4. x y 8 y 1 5x 44. x 5 y 6 4x y 5 Graph the following systems of inequalities on the coordinate plane. Shade the solution region. 45. y x 4 y x 46. x y 6 4x y
7 Unit : Relations and Functions Determine if the relation is a function. State the domain and range Function? One-to-one? Domain: Range: Continuous or Discrete? 49. (7, ), (4, 5), (6, 8), (9, -), (7, 5) 50. Function? One-to-one? Domain: Range: Continuous or Discrete? Function? One-to-one? Domain: Range: Continuous or Discrete? Function? One-to-one? Domain: Range: Continuous or Discrete? Name the quadrant in which the point is located , , 1
8 Evaluate the function. 5. f ( ) if f ( x) 4x g (5) if g x x x ( ) 4 1 State whether each function is a linear function. Write yes or no then explain x gx ( ) 56. 1y 4x 8 x Describe the end behavior for each linear function As x, f ( x) As x, f ( x) As x, f ( x) As x, f ( x) 59. As x, f ( x) As x, f ( x)
9 Unit 4: Graphing Absolute Value and Quadratic Functions Graph each of the following. State the domain and range. 60. f ( x) x 61. f ( x) x 1 Domain: Range: Domain: Range: 6. y ( x ) 1 6. f ( x) x 4 6 Domain: Range: Domain: Range:
10 Find the vertex, the y- intercept, the axis of symmetry and graph the quadratic equation. State whether the function has a maximum or minimum value and find that value. 64. y x x y x x 6 Axis of symmetry Axis of symmetry Vertex Vertex y- intercept y- intercept symmetric point Minimum/maximum symmetric point Minimum/maximum Unit 5: Radicals, Complex Numbers, and Factoring Foil each. 66. ( g 7)( g 4) 67. ( y)( y) 68. (x 1) Simplify
11 Simplify. 71. ( 5) 7. b 4 8 a b c 7. x 10 x Rationalize the denominator Simplify. 78. i 7i i 8. 4i 5i 7i 8.
12 Simplify i 8i i 10i 86. i i (6 i)( i ) Solve. 90. x x Factor the following by taking out the GCF y y x y x p y p Factor the following by grouping. 94. y y 5xy 5x y x xy
13 Factor each trinomial. 96. y 10y z 6z y 10y 99. 9x 18x 8 Factor the following Difference of Squares x a 16c Factor the following Sum/Difference of Cubes x x 64y Factor completely. Look for GCF first y y x 1 x
14 Factor completely. Look for GCF first n n x y x y 5x y x 1x x 0x 40 Solve by factoring: 110. x 7x x 6x 11. x x x 16x 64
15 Some formulas you may need: y y1 Slope: m x x 1 Slope intercept form: y mx b Point- slope form: y y m x x 1 1 Standard form: Ax By C Difference of squares: a b a b a b Sum of cubes: a b a b a ab b Difference of cubes: a b a b a ab b *When factoring, don t forget about the GCF!
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