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EOCT REVIEW. EOCT 1. Jeff’s Wholesale Auto Dealership holds an auction once a month. What is the average number of cars sold at the auction for the past 6 months? Month 1: 288 cars Month 4: 558 car Month 2: 432 cars Month 5: 366 cars Month 3: 330 cars Month 6: 258 cars
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EOCT 1 • Jeff’s Wholesale Auto Dealership holds an auction once a month. What is the average number of cars sold at the auction for the past 6 months? Month 1: 288 cars Month 4: 558 car Month 2: 432 cars Month 5: 366 cars Month 3: 330 cars Month 6: 258 cars a)318.9 cars b)350 cars c) 446.6 cars d) 372 cars ANSWER - D
EOCT 2 • What is the y intercept of the equation 6x² + y = 18 • (0, 18) • (0,3) • (18, 0) • (3,0) ANSWER – A Put in standard form y=-6x² + 18 Make x = 0 and solve for y y=6(0)² + 18 y = 18
EOCT 3 The graph of the function F(x) = x² has been translated so that its new vertex is (2,1). What is the new equation of the function in standard form? • F(x)=x² -4x +5 c) F(x)= x² -2x +1 • F(x)= x² +4x +1 d) F(X) = x² + 2x -1 Answer – A First put into vertex form –> F(x) = (x -2)² + 1 Remembering to switch the sign for the x value. Then FOIL it out
EOCT 4 Which of the following quadratic equations in standard form has the vertex of (1, -1) • F(x) = -2x² -4x +1 • F(x) = 2x² -4x +1 • F(x) = -2x² +4x +1 • F(x) = 2x² +4x -1 ANSWER – B Find the vertex of each function using the –b/2a formula
EOCT 5 Nina wanted to see whether doctors or nurses work more hours in a 5 day work week. She interviewed random doctors/nurses and asked them how many hours a week they work. Looking at the chart, which data set has the lowest mean? • Doctors C. Cannot be Determined • B. Nurses D. They have the same mean ANSWER – B Add up all the data points and divide by 5. Who has the lowest mean?
EOCT 6 Simplify 2 ³ • 1/8 B)-8 C) -6 D) -1/8 ANSWER – A This is a simple calculator question. Type it in and solve. You’ll get 0.125. Take 1 divided by 8 to get your answer Look for the ^ button or the X button
EOCT 7 Which of the following is the solution to: 2x -3 ≤ 7 • -2 ≤ x ≤ 7 c) x ≤ 5 • x ≥ 2 d) -2 ≤ x ≤ 5 ANSWER – D It is an AND problem. So… -7 ≤ 2x – 3 ≤ 7. Add 3 to both sides and divide by 2
EOCT 8 Simplify the expression 3i(-4 + i) and express as a complex number in standard form. • -3- 12i • -3 -21i • -12i +3i² • i(-12 + 3i) ANSWER – A Multiply it out to get -12i + 3i². Replace i² with -1
EOCT 9 Which of the following arithmetic series has a sum of 100 • Σ 5 +3 (n+2) B) Σ 4+2(n+3) C) Σ 6+3(n+3) D) Σ 5 = 3(n-1) ANSWER – A Start with 1 and sub in for n up to 5. Add up the numbers until you get 100 5 5 n=1 n=1 5 5 n=1 n=1
EOCT 10 What is the domain of the function y = x³? • 0 ≤ x ≤ ∞ • 3 ≤ x ≤ ∞ • -∞ ≤ x ≤ ∞ • 0 < x < ∞ ANSWER – C Remember, the domain is all real numbers Domain Hint When in doubt ALL REALZ