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Chapter 5 Review Guide
Match the system of linear equations with the corresponding graph. Use the graph to estimate the solution. Check your solution.
1. y 3 x 2 2. y 2 x 3 y 4 x 3 y 3 x 2 A. B.
Solve the system of linear equations by graphing.
3. y^ ^2 x ^1 4. y^ ^6 x ^3 y 2 x 3 y 4 x 1
Solve the system of linear equations by substitution. Check your solution.
5. y x 2 6. y 3 x 4 7. 2 x 3 y 9 y 3 x 4 x y 8 y 2 x 7 8. There are 27 red or blue marbles in a bag. The number of red marbles is 5 less than 3 times the number of blue marbles. How many red marbles are in the bag? How many blue marbles are in the bag? 9. A fruit vendor sells 60 pieces of fruit that are either apples or oranges. The ratio of apples to oranges is 3 : 2. How many apples did the vendor sell? How many oranges did the vendor sell?
Solve the system of linear equations by elimination. Check your solution.
10. 5 8 6 3
y x y x
x y x y
x y y x
Without graphing, determine whether the system of linear equations has one solution , infinitely many solutions , or no solution****. Explain your reasoning.
13. y 4 x 6 14. y 3 x 5 15. y 2 x 7 2 y 8 x 12 y 3 x 5 y 3 x 1
Solve the equation. Check your solution.
16. 2 x 3 4 x 5 17. 3 x 3 2 x 2 18. 3 x 1 3 x 2 19.^13 x 1 23 x 2 20. At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. How much does it cost for 1 cheeseburger and 2 cups of lemonade? 21. At a restaurant, you eat 2 taco salads and drink 2 glasses of iced tea. Your friend eats 1 taco salad and drinks 1 glass of iced tea. The restaurant charges you $11 and your friend $6.50. Can you determine the prices of taco salads and iced tea? Explain.
