Algebra 1 Chapter 6 Study Guide Name: ______
For #1-2, solve the system by graphing.1.)
/ 2.)
For #3-4, solve the system using the substitution method.
3.)
/ 4.)
For #4-6, (a) define two variables (let statements), (b) write two equations, and (c) solve using substitution.
4.) Trucks-R-Us rents a pickup truck at a daily rate of $30 plus $0.20 per mile. Trucks-4-U rents a pickup truck for $35 plus $0.18 per mile. For what mileage is the cost the same?
(a)
(b)
(c) / 5.) You have $45 in an account and you are saving $15 per week. Your friend has $24 in an account and is saving $18 per week. After how many weeks will you both have the same amount of money in your accounts?
(a)
(b)
(c)
(a) (b)
(c)
For #7-10, do not solve for x and y but state whether the linear system will have no solution, one solution, or infinitely many solutions. Explain your reasoning.
7.)
/ 8.)
9.)
/ 10.)
For #11-12, solve using the addition method.
11.)
/ 12.)
13.)
14.) The sum of two numbers is 20. Their difference is 4. Find the numbers.
(a)
(b)
(c) / 15.) Popeye goes grocery shopping on Mondays. One Monday, he buys 1 gallon of milk and 5 cans of spinach for $6.20. The next Monday, he buys 1 gallon of milk and 2 cans of spinach for $3.20. What is the cost of a can of spinach? What is the cost of a gallon of milk?
(a)
(b)
(c)
16.) Adam has a collection of 27 coins that are worth $2.10. If he only has nickels and dimes, how many of each coin does he have?
(a)
(b)
(c)
17.) Fruit Juice A contains 6% pure fruit juice and drink B contains 16% pure fruit juice. How much of each kind of drink should you mix together to get 5L of a 10% concentration of fruit juice?
Juice A / / /
Juice B
Mixture
For #18-19, graph each linear inequality.
18.) 3x – y > 5
/ 19.) 2x + 3y 6
For #20-21, graph each system of linear inequalities.
20.) y + x < 4
y > -3x + 2
/ 21.) y + 3x > -2
2y – 5x 10