Standardized test prep Review of Linear Equations 8 Blue/Green 2013-2014 Name _ Date Class Complete questions at least 1-8. 1. Which point is a solution to the system of equations shown below? a. ( 39, 27) c. ( 3, 9) b. ( 27, 21) d. (9, 3) 2.A parcel of land is shaped like a rectangle, as shown below. What is the area of the parcel of land, in square feet? 3. The steps DeSean took to find the y-intercept of the equation are shown below. What should DeSean change in order to correctly find the y-intercept? a. Let x = 0, instead of y. b. Solve the equation for x. c. The y-intercept should be written as (5, 0). d. Set both x and y equal to 0. 4. Seven less than 9 times a number is equal to 20 more than the number. What is the number? a. 3.375 c. 2.7 b. 3 d. 1.625
5. A line with a slope of contains the point (6, 6). At what point does this line pass through the y-axis? a. (0, 3) c. (0, 6) b. (0, 3) d. (0, 9) 6. Chris borrowed money from her brother. Each week she pays him $5 toward her debt. After 8 weeks, she has $8 left to pay. This situation is modeled by a line with a slope of 5 that contains the point (8, 8). Which point is also on this line? a. (3, 9) c. (8, 3) b. (7, 3) d. (9, 3) 7. A plane is flying at a speed of 640 miles per hour. To the nearest integer, what is the speed of the plane, in kilometers per minute? (Use 1 mile 1.6 kilometers.) a. 7 c. 67 b. 17 d. 1024
8.A car is traveling at a speed of 45 miles per hour. Once the car starts to brake, its speed (s) is related to the number of seconds (t) it spends braking according to the formula shown below. s = 10t + 45 Part A Draw and label a graph that represents this situation on the coordinate grid below. Part B Determine how many seconds it takes for the car to stop. Time to stop seconds 9. Carla plotted the points on the graph below to show how the amount she owes for tuition decreases as the number of tuition payments increases. The slope of the line segment joining these points is. What does the slope of the line segment represent? a. Each payment decreases the amount owed by $4,000. b. Each payment decreases the amount owed by $0.66. c. For every 3 payments, the amount owed decreases by $2,000. d. For every 2 payments, the amount owed decreases by $3,000. 10.What value of k makes the equation below true? 5k 12 = 22
11. The steps Andre took to solve the system of linear equations y = 4x + 1 and y = 2x + 7 is shown below. What should Andre change in order to correctly solve the system? a. The constants should combine to equal 8. c. The constants should combine to equal 2. b. The x terms should combine to equal 2x. d. The x terms should combine to equal 6x. 12. Vivian charges $4 for bracelets and $5 for earrings. Her cost to make x bracelets and y earrings is $60. The equation 4x + 5y = 60 represents this situation. The graph of this equation is a line. What is the slope of the line? a. 4 c. 0.8 b. 0.8 d. 12 13. The math teacher asked Edith, How old are you? Sixty years less than five times my brother s age, she answered. That doesn t help me, replied the teacher. Yes, it does, said Edith, He and I are twins! How old is Edith? a. 10 c. 15 b. 12 d. 55 14. A line passes through the point (1, 3) and has a slope of 2. Which of these points also lies on this line? a. (1, 5) c. (3, 5) b. (2, 6) d. (3, 7)
15.James and Max are saving their allowances to buy laptop computers. James has saved $30 already and earns a $5 allowance each week. Max has saved $10 already and earns a $10 allowance each week. Part A Write a system of equations that can represent this situation. Use x to represent the number of weeks and y to represent the total amount saved. Equation for James Equation for Max Part B After how many more weeks will James and Max have the same amount of money saved? Use your equations from Part A and the coordinate grid. Number of weeks Part C How long will it take Max to save $250? Show all work necessary to justify your answer.