Name ________________________________ Date __________________

____________________________________________________________________________________________________________ Algebra IB Review for Fall Semester Test Part B

1) What is the vertical axis? 2) What is the horizontal axis? 3) What is the origin? 4) Label each of the quadrants with the appropriate names 5) The signs of the points in the third quadrant of the coordinate plane are ___________ 6) The signs of the points in the fourth quadrant of the coordinate plane are ____________ Graph and label each of the ordered pairs on the graph provided. 7) A( 0, 4 ) 8) B( -6, 1) 9) C( 2, 5 ) 10) D( -3, -4) 11) E( -5, 0 ) 12) F( 7, -5 )

List the coordinates of the points that are plotted on the graph to the right 13) A( , ) A 14) B( , ) B 15) C( , ) C 16) D( , ) D 17) E( , ) 18) F( , ) E F Define the following terms:

19) Domain

20) Range

21) Function

Given the relation { (5, -1), (-2, 3), (1.5, 7), (0, 4), ( 32

, -6) } find

22) the domain ___________________________________ 23) the range ____________________________________ Decide which of the relations below is a function and which is not ( answer YES or NO ) 24) { (2, 4), (-4, 8), (5, 2), (-1, 3) } ______________ 25) { (2, 1), (3, 1), (4, 1), (5, 1) } ______________ 26) { (5, -2), (2, -6), (5, 1), (0, 4) } ______________ 27) { (4, 1), (5, -6), (2, 3), (2, 3) } _______________

28) Explain how the vertical line test works with graphs. Decide whether not each graph represents a function. ( Answer YES or NO ) 29) _____________ 30) _______________ 31) ______________ 32) _______________ 33) ______________ 34) ___________

Given the function f(x) = (x+1)2 - 2 find 35) f(2) ____________ 36) f(-1) _____________ 37) f(0) _____________

Given the function g(x) = xx+

4 find

38) g(-1) ____________ 39) g(2) ____________ 40) g(0) _____________ Given the domain D= { -1, 0, 2, 4 } find the range for each function 41) f(x) = 2x + 1 ___________________________ 42) g(x) = x2 - 1 ___________________________ Solve for ‘y’ in each equation ( isolate the y variable ) 43) y - 3x = 7 ______________ 44) 2y + x = 4 _________________ 45) x - y = 3 ______________ 46) 4y - 8x = 12 _______________ Graph the following equations - Show the table you used to construct the graph in the space to the left of the graph

47) y = -3x + 2 48) y = 21

x - 1

x y x y

49) What is the slope of a line? 50) What is the y-intercept? Find the slope and intercept of each line shown in the graphs 51) m = ______ b = _______ 52) m = _____ b = _______ 53) m = ______ b = _______ 54) m = _____ b = _______

55) Given the points (x1, y1) and (x2, y2) what is the formula we can use to find the slope of the line through the points. Find the slope of the line that passes through the two given points. 56) A(2, 6) B(4, 10) m = _______ 57) A(-3, 1) B(2, -1) m = _________ 58) A(-2, 7) B(-2, -1) m = _______ 59) A(4, -3) B(1, -3) m = ________ Find the equation of the line with given slope and intercept

60) m = 116

b = -4 ______________________

61) m = -5 b = 0 ______________________

62) m = 2 b = 45

______________________

Find the equation of the line passing through the given point with the listed slope. 63) m = 2 (-3, -1) ______________________

64) m = 21

− (4, 3) ______________________

Find the equation of the line passing through the two given points 65) (3, 5) (5, 1) ______________________ 66) (2, 0) (4, 1) ______________________

Find the equation of each line shown below 67) ____________________ 68) __________________ 69) What does it mean for lines to be perpendicular? 70) What does it mean for lines to be parallel? 71) How do we know when lines are parallel? 72) How do we know when lines are perpendicular? Decide if the listed pair of lines will be parallel, perpendicular, or neither. 73) y = 2x + 3 y = -2x + 3 ___________________ 74) y = x + 4 y = -x - 2 ___________________

75) y = 32

x + 1 y = 23

− x ___________________

76) y = -3x + 2 y = -3x - 5 ___________________

77) y = 31

x - 1 y = 31

x + 7 ___________________

Solve the systems of equations graphically

78) y = 3x - 2 79) y = 21

− x + 2

y = 2x + 1 y = x - 3 Solve the following systems using substitution 80) y = x + 2 81) y = 3x - 4 y = -2x + 4 y = 2x - 3 Solve the following systems using elimination and multiplication where needed 82) 3x + 2y = 8 83) 4x + 3y = 13 x - 2y = 8 -2x + 3y = 7 84) 5x + y = 7 85) 2x - 6y = 3 x + 4y = 9 3x + 4y = -2

Graph the following inequalities

86) y > 3x - 5 87) y < -21

x + 3

88) Solve the following system of inequalities by graphing y < -2x + 4

y > 31

X - 3