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Algebra I Midterm Exam Review Name: __________________________________ Date___________________ Period____________ True or False (1-10) 1) b + b + b + b = b4 3) 5) 17 + (-10) = -7 2 5 3 + = 4 4 8 2) The sum of three times a number and 5 can be written as 3 + 5n. 4) 6 – (-4) = 10 6) The point (4, -8) lies in Quadrant III The slope of a vertical line is always undefined. 7) The slope of the line y = 4x + 3 is 4. 8) 9) If a = b, and b = c then a =c shows the Transitive Property 10) The domain of a relation is the x-values. Chapter 1 and 2: Evaluate and/ or Simplify with Distributing and Combining 11) Write 3 3 3 a x x x using 12) Write 54 in ‘long form’. exponents. 13) (- 8 + - 3) 2 = 15) Simplify 0 5 14) Simplify. – (-5) – (- 2) + (- 1) 16) Which property is demonstrated by: -4x + 28 = -4(x – 7) 18) Evaluate: a2 + 4bc if a = -1, b = 4, and c = -2 5 0 17) Evaluate: mn – p2 if m = 19) 1 , n = 8, and p = 2. 2 What is the simplest form of –5(2c + 3) – 4c - 2? Chapter 3: Solve the Equations 20) –x + 15 + 4x + 5 = 2. 22) 3x + 1 = -20 21) 23) 4 x x = - 16 = -20 is 5 8 2x 2 =-4 3 24) 5x – x = - 28 25) 26) Solve for y: 7y = x 27) Solve for b: A = bh 29) Solve for x: 28) 30) When is 3x – 2y = 13is solved for y, what is the equation. Solve for x: 2 3 y9 y7 4x + 2 = 3(x – 4) 2 15 x 30 Chapter 4: Graphing Equations and Chapter 5: Writing Equations of a Line 31) Does the ordered pair (-8, 0) lie on 32) State the x and y intercepts of the graph of –3x – 4y = 24? 4x + 3y = 12 33) Find the slope of the line passing through the points (1, -7) and (-1, 5). 34) Find the slope of the line containing the points (-6, 3) and (-6, -8). 35) What is the equation of the line 36) What is the slope of the line 4x + 3y = 12? 38) Write an equation for the line that passes through the point 1,5 with whose graph has a slope of 37) 5 2 and a y-intercept of 9? Write an equation of the graph in slope-intercept form. slope m 2 . 39) Write an equation for the line in standard form that contains the points (-8, 2) and (5, 3). 40) Which of the following represents a function (you may have more than one answer)? 41) What are the domain and range of 42) the relation {(2, 6), (5, -7)}? Which relation(s) is/are function(s)? 43) If f(x) = -4x + 6, then f(-4) = Chapter 6: Solving and Graph Inequalities y 4 5 44) 45) 2x 5 15 STATISTICS: Find the Standard Deviation of the following set of data: 66, 62, 68, 63, 72, 69, 59. Calculator Directions for Finding Standard Deviation: Round to the nearest tenth. Observations Deviations xx x Squared Deviations ( x x )2 n = ______________ x = ______________ SUM = __________ Variance = 2 46) SUM ______ n Standard Deviation: (round to the nearest hundredth) 2 ____________ 47) Determine the Z-Score for the given value in a normal curve with a mean of 60 and a standard deviation of 5. a. 63 b. 57 x z-score (z) = 48) Approximately what percentage of the students in class B made a grade from 73 to 87? 49) Which statement cannot be justified by one of the properties of real numbers? a) (a – b) – 0 = 0 – ( a – b) b) (ab)c = a(bc) c) a + (b + c) = (a + b) + c d) (a – b) ÷ c = a – ( b ÷ c) 50) To train for a bicycle road race, Kim needs to ride 150 miles per week at an average rate of 50 miles per day. The equation M = 150 – 50d gives the number of miles, M, left to ride after d days. Which graph shows the number of miles Sharon has to ride after d days?