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Name _________________ Date _________ Per. ____ Algebra 1 st 1 Semester Review 1. Solve the system: ì x = -4y + 10 í î 3x - 4y = 6 Solution: ( 4. , ) 2. State the x- and y-intercepts of the line: 3. Write the equation of the line shown in the graph 2x – 5y = 20 x-intercept: ( , ) y-intercept: ( , ) Equation: ____________________________ At the soccer match, Hot Dogs are sold for $3 each and Colas are sold for $2 each. There were 3 times as many colas sold as hot dogs. If a total of $72 was collected, how many of each item were sold? Sentence: ______________________________________________________________________________ 5. Evaluate: a. For c = 2 – 4d , when d = 10, what does c equal? c = ______________ b. For y = 6x – 5 , when x = -1, what does y equal? y = ______________ c. For 2x + 3y = 12 , when x = 0, what does y equal? y = ______________ Algebra 1 Fall Final Review Page 1 of 4 6. Fill in the table and write the equation rule: x -3 -2 -1 0 1 y -1 1 7. 2 5 x y Fill in the table and write the equation rule: -2 -1 0 1 2 3 3 6 rule: __________________________ rule: __________________________ 8. Examine this tile pattern and answer the questions below. Figure 0 Figure 1 Pattern Rule: ___________________ 9. Figure 2 Figure 3 Which figure has 37 squares? _______________________ Solve the system: ì 4 x + 3y = 7 í î2x - 9y = 35 solution: ( , Figure 4 y 10. Graph 3 x 1 2 ) 11. Solve the following equations for x. 2x – 4 + 5x = 7x + 8 Algebra 1 Fall Final Review 5x – 3 – (2x – 1) = 2x – 8 Page 2 of 4 x = __________________ x = __________________ 12. Simplify. 5( x + 1) + 3( x + 2) 13. 2(x – 4) -5(2x – 7) Stephen can solve 11 math problems in 2 minutes. He wants to find out how long it will take to solve 100 problems. Stephen represented it using a diagram, as shown below. Use his drawing to find out how long it will take to solve 100 problems. Show your thinking. 100 11 2 14. Solve: x 3(x + 5) = 2x + 35 Step 1: Step 2: Step 3: Step 4: 3x + 15 = 2x + 35 5x + 15 = 35 5x = 20 x=4 Which is the first incorrect step in the solution shown above? Solve the equation correctly. 15. Graph the equations y = 3x – 7 and y = –x + 1 on the same set of axes and find the point of intersection. Then solve it algebraically. Point of intersection: ( Algebra 1 Fall Final Review , ) Page 3 of 4 16. If five bags of chips cost $6.95, how much will eight bags cost? Write a proportion and solve. 17. Solve for x: 6x + 15 = -4x + 45 3(x + 5) – 4(x – 5) = 2x + 14 18. Simplify: 2 2 2 a) (2x + 3x – 8) + (-4x – 2x + 1) 2 b) (8x + 4x – 9) – (-3x – 5x + 1) 19. Graph the system of equations below on the same set of axes and solve the system using the equal values method. ìy = x + 3 í î y = -2x + 6 Point of Intersection: ( , ) Equal Values Method: Algebra 1 Fall Final Review Page 4 of 4