precalc notes.docx

Here are some practice problems from your quizzes to help you study for your Final. This is not an exhaustive list. Weekly Quiz 1: 1. Like Terms: (4 points; 2 points per blank) 1. Version 1 (Fill in the Blank): 2. Given (2+ ◾ x)-(7x+▲)=11x-1, what are the values of ◾ and ▲? 3. Correct answer: ◾ = 18, ▲= 3 2. Version 1: What must the value of A be in order for the following expression to be negative? 43-A6 a. The value of the expression will be negative for any value of A. b. A=8 c. A must be larger than 8. d. A must be smaller than 8. 3. Version 1: What must the value of X be in order to make the equation true? X=47 a. X=56 b. X=112

c. X=28 d. There is no such value for X . Order of Operations 4. Version 1: Jesus, Isaiah, Maha, and Martine are working on evaluating the expression6+422. Below is their work. Jesus’ work: 6+422=6+162=222=11 Isaiah’s work: 6+422=1022=1002=50 Maha’s work: 6+422=3+42=3+16=19 Martine’s work: 6+422=6+162=3+8=11 5. Which of the following statements are true? a. Isaiah is correct and has the correct steps. b. Maha is correct and has the correct steps. c. Jesus and Martine are both correct and have the correct steps. d. Jesus and Martine have correct answers, but Martine’s steps are not all correct. Types of Numbers 6. Version 1 a. The number is a _________ (select all that apply) i. Real number ii. Rational number iii. Irrational number iv. Integer v. Natural number b. The number -23 is a _________ (select all that apply) 1. Real number 2. Rational number 3. Irrational number 4. Integer 5. Natural number c. The number 255 is a _________ (select all that apply) 1. Real number 2. Rational number 3. Irrational number 4. Integer 5. Natural number

d. The number -2.33 is a _________ (select all that apply) 1. Real number 2. Rational number 3. Irrational number 4. Integer 5. Natural number Quiz 2 1. 6x+B=2(3x-1)is a contradiction (has no solution) if the value of B is [none]. 6x+B=2(3x-1)is an identity (has infinitely many solutions) if the value of B is [many]. 2. Geometry I (Volume): Version 1: What must the value of S be in order for the volume of the shape below to be 4,500 in 3 ? Be sure to include units. [Ans: 6in]

2. Geometry II (Surface Area): Version 1: What must the value of H be in order for the surface area to be 126 in 2 . [Ans: H=1 inch]

3. Polynomials (Like Terms): Version 1: Which of the following expressions are equivalent to 5x2+8x+2? (select all that apply) a. 3x2+x+2x2+2+7x ← ANSWER b. 8x2+4x-3x2+4-4x c. 22+23x2-x-10x+19x+5x2-20-23x2 ← ANSWER d. 52+12x+x2-4x-42+4x2-7 ← ANSWER e. 5x+7+x2-5+4x2+3x ← ANSWER f. 5x2-42-10x+2+2x-10x2 4. Version 1: Miguel, Jessica, and Marcella are working on the following factoring problem: Factor -7x2-28x+2ax+8a completely. Miguel’s work -7x(x+4)+2a(x+4) (x+4)(-7x+2a)

Jessica’s work -7x(x-4)+2a(x+4) (-7x+2a)(x-4)(x+4) Marcella’s work -7x(x+4)2a(x+4) (-7x+2a)(x+4) Which of the following statements are correct? (select all that apply) a. Miguel’s work is completely correct. ← ANSWER b. Jessica’s work is completely correct. c. Marcella’s work is completely correct. d. None of the students have a correct answer. 5. Version 1: Miguel, Jessica, and Marcella are working on the following factoring problem: Factor -7x3+28x completely. Miguel’s work -7x3+28x -7x(x2-4) -7x(x-2)(x+2) Jessica’s work -7x3+28x 7x(-x2+4) Marcella’s work -7x3+28x 7x(-x2+4) 7x(-x+2)(x+2) Which of the following statements are correct? (select all that apply) a. Miguel’s work is completely correct. ← ANSWER b. Jessica’s work is completely correct. c. Marcella’s work is completely correct. ← ANSWER d. None of the students have a correct answer. Weekly Quiz 3:

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