Algebra 1 Midterm Exam - PDF

Name: Date: Algebra 1- Midterm Exam 1. Write the following as an algebraic expression: 2. Simplify: 24 ÷ 2 * 4 + 33 the product of five and a number less than two 3. Simplify b2 – 4ac if a = 2, b =...

Name: Date: Algebra 1- Midterm Exam 1. Write the following as an algebraic expression: 2. Simplify: 24 ÷ 2 * 4 + 33 the product of five and a number less than two 3. Simplify b2 – 4ac if a = 2, b = -4, c = 3 4. Simplify: 11 – 2(-3x + 4) + 2(-4x – 5) 5. Evaluate each of the following given: 6. Sketch a graph of the length of your hair over the f(x) = 3x + 5 and g(x) = x2 – 5 course of one year. [Hint: think a) f(3) b) g(-2) about if your hair starts at 0 (bald) on Jan 1st each year or not.] 7. Determine if the following relation is a function: 8. Determine if the {(-2,7), (6,7), (0,9), (5, -2)}. Yes or No and tell why. following is a function. Yes or no and tell why. 9. Solve: 2x + 3 = 27 10. Solve: 6(3x + 1) – 30 = 3(2x – 4) 11. Solve: |2x – 4| = 8 12. Water was leaking from a faucet at a rate of 1.5 gal every 5 minutes. If it took 22 min to stop the leak, how much water was wasted? 13. Write an absolute value equation 14. Find the perimeter of the square shown. for the graph shown below: Name: Date: Algebra 1- Midterm Exam 15. You bought a shirt for $36.99 what will the total 16. You go to dinner and the meal you ordered is cost be if the store offers a 30% discount with a 6% $15.99. They add a 6% tax to your bill. How much is tax? the bill BEFORE tip? 17. A game was $75 and is now $60. Find the percent 18. Find three consecutive ODD integers that have a change of the game. sum of 111. 1 20. Given the sequence: 2, 5, 8, …. 19. Find the value of r given: (r, 7), (10, 8); m= − 5 a) Find the NEXT THREE terms: ____, ____, ____ b) Use the formula: an = a1 + d(n – 1) to find a121. 21. Suppose y varies directly as x. If y = 3 when x = 22. Write an equation of a line with m = -3 that 6. Find y when x = 10. passes through the point (-2, 6). 23. Write an equation of a line that passes through 24. From 2005 to 2017, the number of airports in the (-2, 2) and (4, 8) United States increased at a constant rate of 150 airports per year. In 2010 there were 20,245 airports in the United States. Write an equation of the line that gives the number of airports as a function of time since 2005 (Hint: let x = 0 be 2005). Name: Date: Algebra 1- Midterm Exam 25. Write an equation of a line that is parallel to 26. Find the inverse of f(x) = -2x + 8 3x + 4y = -8 and passes through the point (-4, 6) 27. The graph shows 4 28. Solve if possible: -2x + 4 < 8 lines A, B, C, D. Write these lines in order from least to greatest according to their slope. 29. Solve if possible: 4x + 15 < 3 and x – 5 > -3 30. Solve if possible: |4x – 2| < 4 31.Use desmos to graph the following system and identify their point of intersection: -3x + 2y = -2 3x + 3y = 12