STAAR Practice Test #8 Name:________________________ TEKS 10 (Polynomials) Block:_________ Date:__________ 2.(10B) Find the product of (x – 1) and (2x2 – x + 5) 1. (10B) Which expression is equivalent to: 3 5 2 3 2𝑥 ( 𝑥 + 1) + 3 ( 𝑥 − 2) ?? A 3𝑥 2 + 5𝑥 − 1 B C 3𝑥 2 + 7𝑥 − 6 D 3 4 3 4 𝑥2 + 23 9 𝑥−6 5 𝑥2 + 𝑥 − 1 A. 2x3 + 3x2 + 6x – 5 C. 2x3 – 3x2 + 6x – 5 B. 2x3 – 3x2 + 5x – 5 D. 2x3 + x2 + 4x + 5 9 3. (10C) The area of a yard is given by the equation y = x2 - 12x + 32. If the length of the garden is given by the expression x - 4, what is the width of the yard? 4. (10A) Sarah wants to build two separate congruent pens for her horses. Determine the amount of fencing she would need to enclose BOTH pens. 5. (10A) Farmer Ted wants to build two separate congruent pens for his piglets. The one pen is a triangle with sides measuring 5x - 2, 8x + 3 and 2x – 1. Then determine how much fencing he would need for BOTH pens. 6. (10B) Maggie May wants to install a pool in her backyard. The pool will have a width of 2x and length of 6x − 1. The backyard has a width of 3x + 2 and length of 5x − 7 What is the area of the yard that is left after the pool is installed? 7. (10A) Find the sum of (4a – 3b + 1) and (6a – 5b – 2) 8. (10A) Subtract (–a2 – 7a + 6) from (a2 – 4a – 6) A. 10 a + 2b – 1 C. 10a – 2b – 2 A. 2a2 + 3a C. 2a 2 + 3a – 12 B. 10a – 8b – 1 D. 10a + 8b – 1 B. 2a2 – 11a D. –11a 9. (10B) Which expression is equivalent to: 10. (10B) In which step below does a mistake first appear in simplifying the expression 0.5(−12c + 6) − 3(c + 4) + 10(c − 5)? 1 3𝑐 ( 𝑑 − 9) − 7(𝑐 + 1) + 𝑑(𝑐 + 4)? 3 𝐴. 2𝑐𝑑 − 34𝑐 4𝑑 − 7 C. 2𝑐𝑑 + 34𝑐 + 4𝑑 + 7 B. 2𝑐𝑑 − 7𝑐 − 4 D. 2𝑐𝑑 + 8𝑐 + 4 Step 1: −6c + 3 − 3(c + 4) + 10(c − 5) Step 2: −6c + 3 − 3c −12 + 10(c − 5) Step 3: −6c + 3 − 3c −12 + 10c − 50 Step 4: 7c − 41 A Step 1 B Step 2 C Step 3 D Step 4 Answer Key for Test #8 1 2 3 C C x-8 4 5 6 7 8 9 10 32x + 6 30x 3𝑥 2 + 10𝑥 − 14 10a – 8b – 1 2𝑎2 + 3𝑎 − 12 -34c +2cd +4d -7 D