Algebra Chapter 2 Practice Test PDF

## Algebra: Chapter 2 Practice Test **Name:** **Date:** **Per:** **Test is out of 30 points - Your score will be reported as a %. (/100)** **Questions 1-5 are Multiple Choice. Show work as needed. NO partial credit is given.** 1. What is the slope of the line through the points (-2,5) and (4,-...

## Algebra: Chapter 2 Practice Test **Name:** **Date:** **Per:** **Test is out of 30 points - Your score will be reported as a %. (/100)** **Questions 1-5 are Multiple Choice. Show work as needed. NO partial credit is given.** 1. What is the slope of the line through the points (-2,5) and (4,-1)? (1 point) - A. -6/5 - B. -5/6 - C. 6/1 - D. -1 2. Americans with Disabilities Act (ADA) specifications for wheelchair ramps require a 30-inch rise for a 30-foot length ramp. Which of the following slope ratios correspond to the ADA statement? (1 point) - A. 1/1 - B. 30/1 - C. 1/12 - D. 30/12 3. What is the slope of the line through (-4,4) and (1,4)? (1 point) - a. 0 - b. 5/0 - c. -3/8 - d. 4/-4 4. Mr. Snively's Making Money class wants to raise money for a field trip, but they are worried about the cost. They currently only owe $45 for transportation cost from the last field trip, and realize they will need to have $550 in 10 weeks to fully fund the trip. Which equation would allow them to calculate *x*, the amount of money they will need to raise each week to reach their goal? (1 point) - A. 550 = 45 + 10*x - B. 550 - 45 + 10*x - C. 550 - 45*x + 10 - D. 550 = 10 + 45*x 5. Decide whether each of the following points is on the line $y = \frac{3}{2}x -1$. For each point, show your work **or** explain how you decided. (2 points each) - a. (-2, -3) - b. (8, 11) 6. Solve each of the following equations for *x*. Show your work. (2 points each) - a. *x* -2 + 3*x* - 5 = 4 + 2*x* - 3 - b. -2(*x* - 3) = -5*x* - 12 7. Evaluate the expression for when *x* = -3. Show your work. (2 points) $\sqrt{x^2}-\frac{2x^3}{2(3-x)} - |x-1|$ 8. Write a letter to a new student explaining how to find the slope and the rule (equation) of the line passing through the points (-4, 6) and (5, -4). Be detailed and explain yourself clearly. Answers should be in fraction form. No decimals. Show numbers as improper fractions. (4 points) 9. In the game of "Save the Earth" algebraic equations are used to eliminate meteors. If the equation goes through the coordinate point of the meteor, it is destroyed. Examine the screen shot with meteors on the left and table of values on the right. Your mission is to eliminate the meteors with the fewest equations possible. Write down your equations (3 points) and draw the lines from your equations on the picture (1 point). Answers should be exact, no decimal approximations. (4 points total) | **x** | **y** | |---|---| | 6 | 5 | | 2 | -1 | | -6 | -7 | | -5 | -9 | | -4 | -4 | | -7 | 4 | [Image: coordinate plane with 4 meteors and a table of 6 x,y coordinate pairs] **Answer Box below** *y₁* = *y₂* = *y₃* = **Show all work here:** 10. Two brothers, Martin and Horace, are in their backyard. Horace is taking down a brick wall on one side of the yard while Martin is building a brick wall on the other side. Martin lays two bricks every minute. Meanwhile, Horace takes down three bricks each minute from his wall. They start working at the same time. It takes Horace 55 minutes to finish tearing down his wall. (6 total points) a. Find the equations showing the relationship between number of bricks (*y*) and the number of minutes in building/tearing down a wall (*x*). (1 point each equation) *Marin's equation:* *y_m* = *Horace's equation:* *y_h* = b. Draw a complete graph of the above situation labeling the point of intersection. (2 points) [Image: blank graph grid] c. What does the point of intersection of the two lines mean in real-life terms? (2 points)