Alg1 Cumulative First Semester Review PDF

Name: Class Period: Date: Cumulative Semester 1 Review 1. Match each description to the equation that defines that linear function. Some equations will not be...

Name: Class Period: Date: Cumulative Semester 1 Review 1. Match each description to the equation that defines that linear function. Some equations will not be used. 1 3 1 3 1 𝑦 = 5𝑥 − 𝑦 = 𝑥−3 𝑦 = −7𝑥 − 𝑦 = 7𝑥 + 2 𝑦 = 6𝑥 − 𝑦 = 𝑥+6 4 8 2 2 2 A line goes through points (0,2) and (1,9). ○ ○ ○ ○ ○ ○ x y 0 8 -3 0 ○ ○ ○ ○ ○ ○ A line has a slope 1 of and a y- 2 intercept of 6. ○ ○ ○ ○ ○ ○ 2. Sarah is buying roses and carnations to make center pieces for prom. Roses, x, cost $3 each and carnations, y, cost $1 each. She can spend no more than $75 on the flowers. Which graph represents the solution to the problem? 3. The tables of ordered pairs represent some points on the graphs of two different lines. Which systems of equations represented by lines 𝑎 and 𝑏? 𝑥 − 6𝑦 = −90 A. 𝑥 − 3𝑦 = 27 𝑥 + 6𝑦 = 90 B. 𝑥 + 3𝑦 = −27 6𝑥 − 𝑦 = −15 C. 3𝑥 − 𝑦 = 9 6𝑥 + 𝑦 = 15 D. 3𝑥 + 𝑦 = −9 4. The number of miles a car can be driven depends on the number of gallons of gas in the tank. The function 𝑚 = 25𝑔 models a situation in which a car gets 25 miles per gallon. If the tank holds 20 gallons of gas, which inequality represents its range? A 0 ≤ 𝑔 ≤ 20 B 0 ≤ 𝑚 ≤ 500 C 𝑚 ≤ 500 D 𝑔 ≥ 20 5. The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function? 2 A 9 9 B −2 9 C 2 2 D −9 6. A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, 𝑞, and the number of dimes, 𝑑, in the bag? 0.10𝑞 + 0.25𝑑 = 2.85 A. 𝑞 + 𝑑 = 18 0.10𝑞 + 0.25𝑑 = 18 B. 𝑞 + 𝑑 = 2.85 0.25𝑞 + 0.10𝑑 = 2.85 C. 𝑞 + 𝑑 = 18 0.25𝑞 + 0.10𝑑 = 18 D. 𝑞 + 𝑑 = 2.85 7. Which graph best represents the solution set of −3𝑥 + 𝑦 > −4? 8. What is the value of x in the solution to this system of equations? 𝑦 = 3𝑥 − 22 𝑦 = −5𝑥 + 32 A 6.75 B 1.75 C −6.75 D −1.75 9. A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths. On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles. On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles. What is the length of the Green Route in miles? A 4.4 mi B 4.5 mi C 6.4 mi D 6.8 mi 10. The graph of a linear function is shown on the grid. Which equation is best represented by this graph. A 𝑦 − 3 = 2(𝑥 + 5) B 𝑦 − 8 = −2(𝑥 − 2) C 𝑦 + 8 = 2(𝑥 + 2) D 𝑦 + 3 = 2(𝑥 − 5) 11. A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes. What is the domain and range of the function for this situation? Domain: All real numbers greater than or equal to 0 and less than or equal to 9. A. Range: All real numbers greater than or equal to 0 and less than or equal to 28 9 Domain: {− 28} B. Range: {9} Domain: All real numbers greater than or equal to 0 and less than or equal to 28. C. Range: All real numbers greater than or equal to 0 and less than or equal to 9. Domain: {9} D. 9 Range: {− 28} 12. The table represents some points on the graph of a linear function. A 𝑓(𝑥) = 26𝑥 − 52 B 𝑓(𝑥) = −52𝑥 + 26 C 𝑓(𝑥) = 13𝑥 − 26 D 𝑓(𝑥) = −52𝑥 + 2 13. Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges? A 𝑐 = 26.94𝑡 B 𝑐 = 18.99𝑡 + 7.95 C 𝑡 = 26.94𝑐 D 𝑡 = 18.99𝑐 + 7.95 14. A family traveling from California to Texas wants to travel by car instead of plane. The cost, c, of renting a car has an initial fee of $100 and increases at an average rate of $25 per day. Which function can be used to find the cost of the car if d represents the number of days the car is rented? A 𝑓(𝑐) = 100(𝑑 − 25) B 𝑓(𝑐) = 100𝑑 + 25 C 𝑓(𝑐) = 25(𝑑 − 4) D 𝑓(𝑐) = 100 + 25𝑑 15. What is the solution to −4(2𝑥 − 7) = 3(52 − 4𝑥)? A 32 B 46 C − 6.4 D − 40.75 16. What is the solution to 7𝑥 + 3 = 2𝑥 + 13? Answer: 17. Which inequality describes all the solutions to −4𝑥 + 10 ≥ 5𝑥 + 55? A 𝑥≥5 B 𝑥 ≥ 45 C 𝑥 ≤ −5 D 𝑥 ≤ −45 18. Which inequality describes all the solutions to −3𝑥 − 4 > 8𝑥 + 7? A 𝑥>1 B 𝑥 −1 19. What is the y-intercept of the line graphed on the grid? Answer: 20. A linear function g passes through the point (-2, 9) and has a slope of -3. Which of the statements must be true? Choose TWO correct answers. 21. The graph of linear function g is shown on the grid. What is the slope, x-intercept, and y-intercept of the graph of g? Select the correct answer in each row.