Algebra I Name: Block: Mid Term Exam Review Date: Multiple Choice Choose the best answer for each multiple choice question. Expressions and Operations 1) What is the value of (3 y x)2 if x = -1 and y = 3? A) 64 B) 100 C) 49 D) 25 2) Which equation corresponds to the following sentence? Three times the difference of a number and 3 is equal to the quotient of the number and 5. 𝑥 𝑥 𝑥 𝑥 A) 3(x – 3) = B) 3x – 3 = C) 3(3 – x) = D) 3 – 3x = 5 5 5 5 3 3) Simplify √216 A) 14.7 B) 72 C) 6 D) 108 Equations and Inequalities 4) Solve -2(n – 3) = 14 A) n = – 4 B) n = -10 C) n = 10 D) n = 6 5) What is the slope of the line that contains the points (-1, 4) and (3, 8)? A) undefined B) 0 C) 1 D) 6 6) What is the slope of the line that contains the points (9, 4) and (5, 4)? A) undefined B) 0 C) -4 D) 1 7) What is the slope of the line y = −3 x + 5? A) 5 B) -3 C) 3 D) -1 5 8) What is the y-intercept of the line 2x – 3y = 9? A) 9 B) 2 2 C) − 3 D) −3 3 9) Which graph best matches the equation? y x 1 2 10 A) 10 B) 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 10 10 8 8 6 C) 4 2 2 2 4 6 8 10 4 6 8 10 2 4 6 8 10 6 D) 4 -10 -8 -6 -4 -2 2 -10 -8 -6 -4 -2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 Functions and Statistics 10) Which graph shows a function of x? D) C) B) A) 11) Determine the value of x when F(x) = 2 f ( x) 2 x 4 A) 3 B) 2 C) 0 D) -2 SOL A.9 12) Use your calculator to determine the standard deviation of the following data (round to the nearest tenth if necessary). {12, 14, 16, 16, 20, 22, 40, 40, 50, 52, 52, 52} A) 32.2 B) 386 C) 16.2 D) 31 13) The male and female teachers at Round Hill Elementary recorded the number of years they have been teaching at the school. The box-and-whisker plots summarize the data. Which statement is false? A) The teacher with the least number of years teaching is female. B) The range in the years teaching is greater for male teachers than for female teachers. C) The difference in the maximum number of years teaching for males and female is 1. D) The median numbers of years teaching for female teachers is 2 less than the median for male teachers. EVALUATING 14) 32 ÷ ( -1 – 3)2 + 2 A) 1.78 B) 0 C) 6 D) 4 15) Which inequality corresponds to the sentence below? The product of a number and two is no more than fifteen plus that same number. A) 2 + x ≤ 15 + x B) 2x < 15 + x C) 2x ≤ 15 + x 16) Solve the following inequality: 3(x + 3) < -x + 3 + 4x A) x < 0 B) no solution C) All real numbers D) 2 + x ≤ 15x D) x < 5 17) Which property is illustrated by the following: If 2 + x = 3, and 3 = n – 1, then 2 + x = n – 1? A) Transitive Property B) Symmetric Property C) Reflexive Property D) Identity Property 18) Which is equivalent to 2√5 A) √10 B) 25 C) 100 D) √20 19) Simplify 2 – 4x – 3 + x A) -3x – 1 B) 5x2 – 1 C) 5x + 5 D) -4x 20) What is the solution of the equation A) – 18 B) x 2 + 3 = – 12 ? −15 C) -30 2 D) −9 2 21) Solve -2(3 – 4x) = 2x + 3(x + 1) −9 A) x = 13 7 B) x = 3 C) x = 3 D) x = 2 2 22) Solve 5(x – 5) = 3x + 1 A) x = 28 B) x = 5 23) Solve A) x = 1 2𝑥+1 −3 = 39 C) x = 5 −15 13 30 D) x = 13 𝑥−2 2 1 4 B) x = 8 C) x = 7 D) x = −8 7 24) Solve for h: V r 2h A) h V r 2 B) h = V – πr2 C) h Vr 2 25) Solve 3 – 2y > 17 A) y > -7 B) y < 10 C) y > 10 D) y < -7 C) 4 D) -2 26) Given f (x) = 2x – 8, find the value of f (x) if x = 2. A) -4 B) 5 27) Which set of points does NOT represent a function? A) (3, 2), (6, 3), (9, 6), (8, 12) B) (6, 6), (4, 5), (6, -6), (-1, 10) C) (1, 3), (5, 3), (–2, 3), (–9, 3) D) (0, 6), (6, 8), (8, 5), (5, 6) 28) The graph shows part of a function, f. What is most likely the range of the function? A) { y } B) { y | y > 0 } C) { y | y < 5 } D) { y | 2 < y < 6 } y 29) Which graph shows y = 2 ? y y 10 10 A) B) 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 x -10 -8 -6 -4 -2 2 4 6 8 10 2 4 6 8 10 x -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 y y 10 10 C) D) 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 x -10 -8 -6 -4 -2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 x 30) Which ordered pair is not a solution of the function y = -x + 2? A) (-1, 3) B) (2, 0) C) (-2, 0) D) (-3, 5) 31) What is the slope of the line represented by the equation 3x – y = 6 ? A) 3 B) -1 C) -3 D) -6 32) Find the x and y intercepts of the equation 2x – 3y = -30. A) x = 10 y = -15 B) x = –15 y = 10 33) Write the equation in slope-intercept form: A) y = -2x – 11 B) y = -x + 11 C) x = 2 y = –3 D) x = -27 y = –32 2x - 2y = 22 C) y = x – 11 D) 2y = 2x + 22 34) Leah and Maddie were comparing the points they have scored per game during their basketball season. The mean for Leah’s points is equal to the mean score for Maddie’s. The standard deviation for Leah’s points is 1.4. The standard deviation for Maddie’s points is 2.2. Based on this information, which of the following statements must be true? A) Maddie’s scored points were lower than Leah’s. B) Leah had more total points than Maddie. C) Leah’s points scored were more consistent than Maddie’s. D) Maddie’s median scored points was lower than Leah’s median. 35) A survey was conducted on the number of compact discs owned by girls and boys in one classroom. The results are graphed below. No students own the same number of CDs. If there are 16 girls in the class and 12 boys in the class, what is the total number of students who own more than 50 CDs? A) 14 students B) 11 students C) 7 students 36) Choose the graph of -6x + 2y > – 2. A) B) C) D) D) 30 students