AFDA – Quarter I Cumulative Assessment REVIEW 1. Graph the inequality: Name: _________________ Block: _____ Date:_______ −4𝑥 + 15 < −1 𝑜𝑟 − 2𝑥 + 5 ≥ 11 2. Solve. 18 = 2𝑥 + 36 − 5𝑥 3. Solve: 5𝑥 − 5 ≥ 10𝑥 − 25 4. Write an equation in slope-intercept form that has a slope (m) of intercept (b) of -8 ? 5. Write the equation of the graph shown. 2 and a y3 6. State the solution to the system of equations graphed. 7. Given 𝑓(𝑥) = −6𝑥 − 9, find 𝑓(−8). 8. Classify the line that passes through the points (-3, 4) and (0, 4). 9. State the range of y 2 x 6 , if the domain is {–4, –2, 0, 1, 3}. 10. Determine the slope and y-intercept of the equation -6x – 3y = 18 11. Calculate each of the following given the functions below. 1 𝑓(𝑥) = 𝑥 − 5 6 a) 𝑔(3) b) ℎ(8) c) 𝑓(9) d) 𝑓(18) e) 𝑔(0) f) ℎ(6) 𝑔(𝑥) = 2𝑥 2 − 6 ℎ(𝑥) = −4𝑥 + 10 12. Calculate slope of a line given two points; determine if the line is increasing, decreasing, horizontal, or vertical. (2, -9) and (-6, 3) 13. Determine if the lines are parallel, perpendicular, or neither AND state why. Line A passes through (1, 3) and (2, 6) and Line B passes through (3, -6) and (4, -9). 14. Write the equation of the line in standard form: a. 𝑦 = −4𝑥 + 8 4 b. 𝑦 = − 𝑥 + 3 7 1 c. 𝑦 = 𝑥 + 2 9 15. Write the equation in slope-intercept form: a. -6x – 3y = 9 b. x – 5y = -20 1 c. - x – 4y = -12 2 16. The Cub Scouts are selling boxes of popcorn and hot chocolate to raise money for their upcoming camping trip. Boxes of popcorn cost $10 each and boxes of hot chocolate cost $8 each. After the first day the Cub Scouts made $512 and sold a total of 56 items. How many boxes of popcorn and hot chocolate were sold? 3𝑥 + 𝑦 = 11 17. Solve using the substitution method.{ 𝑦 = 𝑥 + 3 5𝑥 + 𝑦 = −17 18. Solve using the elimination method. { −3𝑥 − 3𝑦 = 3 19. { 𝑦 = 4𝑥 − 5 1 𝑦 = 𝑥+5 4 **graph on here, but find intersection point on calculator Solution: ______________ 20. { 5𝑥 + 2𝑦 = −10 3𝑥 − 3𝑦 = 15 Solution: _____________ 21. Using the given information, fill in the blank areas. Then state if the relation is a function and why. Domain: Range: Ordered Pairs Table 𝑥 4 -2 4 2 Graph 𝑦 -1 0 4 6 Is this relation a function? Why or why not? Mapping Graph each function. 22. y ≥ -6x + 2 23. 𝑥 = 1 Domain: 24. 2𝑥 − 3𝑦 ≥ 12 25. 𝑦 > −4 Range: 26. −5𝑥 + 3𝑦 = −15 Domain: Range 1 27. y ( x 6) 6 3 Domain: Range: