Gwarmup23 Algebra TEXAS Style Geometry Warm-up 23 Gwarmup23 Algebra TEXAS Style 1. A rectangular box will be divided into two sections, as shown below. 20 in. 12 in. X in. Which expression represents the area of the shaded portion of this box? A. 20(12)+12x B. (20 – x)(12) C. 20(12+x) D. (20 – x)(12x) Gwarmup23 Algebra TEXAS Style 2. In the drawing shown below, ∆ABC is similar to ∆EDC. Find the approximate value of x. A D 205 181 C X 120 116 B A. 106 B. 175 C. 309 D. 320 E Gwarmup23 Algebra TEXAS Style 3. Susanna has an aquarium shaped like a cylinder with a volume of 2000 cubic inches. If Roxy has an aquarium, also a cylinder, that has exactly half of all the dimensions of Susanna’s aquarium, what is its volume? A. 1000 cubic inches B. 785 cubic inches C. 500 cubic inches D. 250 cubic inches Gwarmup23 Algebra TEXAS Style 4. Susanna has an aquarium shaped like a cylinder with a volume of 2000 cubic inches. Roxy has an aquarium, also a cylinder, that has exactly half of all the dimensions of Susanna’s aquarium. If the pet store recommends atleast 120 cubic inches of water for 1 neon, what is the maximum number of neons that she can put in her aquarium? A. 8 B. 4 C. 2 D. 1 Gwarmup23 Algebra TEXAS Style 5. What is the point of intersection for the line that passes through (-2,-1) and (-1,2) and the line that passes through (3,0) and (6,2)? A. (-4,-7) B. (1,-1.3) C. (-3,-4) D. (-1,2) Gwarmup23 Algebra TEXAS Style 6. In Regi’s College Algebra class, the final grade is calculated using 55% of the mean of 3 test grades and 45% of the final exam. If Regi’s first 3 test grades are 90, 82, and 87, what is the least he can make on his final exam to have at least a 90 average, without rounding? A. 94 B. 95 C. 96 D. Not possible Gwarmup23 Algebra TEXAS Style 7. If (x,-2) is a solution to 3x – 5y = 12, what is the value of x? 17 A. 5 2 B. 3 22 C. 3 6 D. 5 Gwarmup23 Algebra TEXAS Style 8. A spinner is divided into four equal parts, labeled red, yellow, blue, and green. The results of 10 spins are shown below in the table. What is the difference between experimental and theoretical probability of getting yellow? 1 A. 4 1 B. 20 1 C. 15 3 D. 20 Red Blue Color Tally Total Red || 2 Yellow |||| 4 Blue ||| 3 Green | 1 yellow green Gwarmup23 Algebra TEXAS Style 9. At Movies and More, DVDs can be rented for $3 per day and video games can be rented for $4 per day. Which inequality best represents how many DVDs, x, and video games, y, can be rented today for $20 or less? A. 3x + 4y ≥ 20 B. 4x + 3y ≤ 20 C. 3x + 4y ≤ 20 D. 4x + 3y ≥ 20 Gwarmup23 Algebra TEXAS Style 10. Which of the following inequalities is equivalent to 4 x 3 y 9 ? A. B. C. D. 4 y x3 3 4 y x3 3 4 y x3 3 4 y x3 3 Gwarmup23 Algebra TEXAS Style Gwarmup23 Algebra TEXAS Style Geometry Warm-up 23 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. B, obj 2, A.3A C, obj 8, 8.9B B, obj 8, 8.10B C, obj 8, 8.10B C, obj 4, A.8B B, obj 9, 8.12A B, obj 4, A.7B D, obj 9, 8.11B C, obj 4, A.7A D, obj 4, A.7B