Name_______________________________________________Class______________Date_______________ Algebra 1 Review for Final (Semester 1) Ch.1 to Ch.7 Chapter 1 Simplify. 1. 5 10 2 4 2 4 2 5 (9 7) 2. Write an expression for each phrase. 3. 4 minus the product of a n and 6 _______________ 4. the quotient of r and 8 plus 15 _______________ Write a function rule to describe the situation. 5. The cost for a college student to get cable in his apartment is $90 set up fee and $35 per month. Chapter 3 Solve each equation. Check your answer. 6. x + 8 = - 17 9. 10x + 8 = 6x - 32 7. 3n – 5 = 19 8. 3(x + 15) = -45 \ 10. 3(t + 7) = 24 + 2t Solve. 11. A state park charges admission of $6 per person plus $3 for parking. Jo paid $27 when her car entered the park. Find the number of people in Jo’s car. Solve each proportion. 2 5 12. 1 .2 k The scale of a map is 1 cm: 25 mi. 13. Two cities are 8.3 cm apart on the map. Find Real Distance. Simplify the expression. 14. 49 Find the length of the missing side of a Right Triangle. If necessary, round to the nearest tenth. 15. a = 12, b = 15 16. b = 8, c = 16 Solve each inequality. Graph the solution. 17. m + 4 > 10 18. –10 2y Chapter 6 Graph each equation. 20. y = 3x – 4 21. Write the equation in slope-intercept form. 22. 2x + 5y = 10 (y = mx + b) 19. -2x + 3 < 13 2x + 4y = 8 23. Write an equation of a line. m = __________ b = __________ Equation: ___________________ Write an equation in slope-intercept form for the line through the given points. 24. (2, 5); (3, 7) (y = mx + b) Write an equation in slope-intercept form (y = mx + b) for a line that passes through the given point and is PARALLEL to the given line. 25. y = 4x + 5 Point = (2, 3) 26.) Solve the system by graphing. y x 3 y 32 x 2 28. Solve the system by elimination. 2 x 3 y 12 5 x y 13 27. Solve the system by substation. y 2x 7 4x 3y 4