Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Linear algebra wikipedia , lookup
Cubic function wikipedia , lookup
Quartic function wikipedia , lookup
Quadratic equation wikipedia , lookup
System of polynomial equations wikipedia , lookup
Signal-flow graph wikipedia , lookup
Elementary algebra wikipedia , lookup
History of algebra wikipedia , lookup
STAAR Review HW #3 Name: ______________ Reporting Category 3 (Writing & Solving Linear Functions, Equations, and Inequalities) 1. What is the equation in standard form of the line that passes through 1 the point (4, -8) and has a slope of ? 4 a. x – 4y = 36 c. x – 4y = -36 b. x – 4y = 28 d. x – 4y = -28 4. Which equation is parallel to y = 3? a. y = 3x + 1 b. x = 3 c. x = -3 d. y = 8 2. Write an equation, in slopeintercept form, of the line that passes through the point (-3, 4) and is parallel to the line y = 3x – 7. 1 1 3. What is the equation in standard form of the line that passes through the point (2, 9) and is perpendicular 1 to the line y = x + 4? 2 a. y = x – 13 b. y = − x – 7 a. 2x + 4y = 13 b. 2x + y = 13 c. y = -3x + 7 d. y = 3x + 13 c. 2x – 4y = 13 d. -2x + y = 13 3 3 5. Which equation is perpendicular to x = -4? 6. The value of y varies directly with x. If y=48 when x=3, find x when y=80. a. x = 4 b. y = 4 a. 6 b. 5 c. x = 0 d. y = -4x c. 4 d. 8 7. Which is the solution to the equation -5x – (-7 – 4x) = -2(3x – 4) ? 8. Which inequality represents the solution to 46 ≤ -6(x – 18) – 2 ? a. x = 3 b. x = 5 a. x ≤ 10 1 1 9. What is the x value in the system given? 3x = 2y + 14 y = -6x + 18 b. x ≤ -11 a. c. x = 3 d. x = 5 10. What is the domain and range of the graph given? c. x ≥ -11 d. x ≥ 10 10 b. -2 3 c. 2 11. Which statement is true for the function graphed? a. The range is y≤2 b. The range is ARN c. The domain is x=-4,-2,0,2,4 d. The domain is x=-2,-1,0,1,2 c. The remaining number of miles on a 620-mile trip after traveling 65 miles per hour for x hours d. The amount owed on a $555 loan after paying $65 per month for x months 10 3 12. Which equation can be represented by the graph shown below? f. −3x+8y+16=0 g. 3x−8y+16=0 h. −3x−8y−16=0 j. 3x+8y−16=0 13. Which situation can be modeled by the linear function given? a. The cost in dollars of buying x items that cost $245 each b. The number of miles an airplane had traveled after flying 555 miles per hour for x hours d. 14. What is the solution to the system? x 2 5 6 8 h(x) 490 295 230 100 4x – 7y = -2 12x – 21y = -42 1 2 a. (− , 0) b. (0, ) c. Infinite Solutions d. No Solution 2 7 STAAR Review HW #3 Name: ______________ 15. Complete the linear inequality that represents the relationship shown in the table: y 3x – ½ a. > b. < c. ≥ d. ≤ x -3 -2 -1 0 1 2 y -10.5 -7 -4 -1 1 5 16. There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number of laptops in the computer lab? Write a system of equations and solve. a. t ≤ r – 2 c. t ≤ 18. A local seafood store is selling fish and lobster by the pound. The fish cost $5 a pound, while the lobster cost $10.50 a pound. The store sells 30 total pounds and makes $194. How many pounds of lobster were sold? 19. The perimeter of a picture frame is 68 inches. The difference between the length and three times the width is 2. What is the width of the frame? a. 8 b. 26 f. 22 h. 12 c. 15 d. 19 g. 8 j. 5 17. A tennis player broke the old record for the most matches won in a tournament by at least 2 matches. Which inequality can be used to find all the possible values of t, the number of matches the player won, in terms or r, the old record? 𝑟 b. t ≥ 2r d. t ≥ r + 2 2 20. What is the system of equations represented by the tables given? a. y = -4x + 2 y=x+5 b. y = 2x + 4 y = -x – 5 c. y = -2x + 4 y = -x + 5 d. y = 4x – 2 y = 5x – 1 x -2 -1 0 1 2 Y1 8 6 4 2 0 Y2 7 6 5 4 3