2. Algebra 1 Mini-Lessons 7r + 22k = 101 8r + 20k = 100 3 miles 5 miles
Solve the system of equations.
7r + 22k = 101 8r + 20k = 100
What is the value of r?
3 miles
5 miles
7 miles
8 miles
MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

3. Algebra 1 Mini-Lessons
Solve the system of equations: 30c + 50d = c + 40d = 310
What is the value of c? 3 4 5 6
MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

4. Algebra 1 Mini-Lessons 6 miles 7 miles 8 miles 12 miles
John is training for a competition in which athletes will run and bike several miles. If John can run a mile in 7 minutes and bike a mile in 4 minutes, he will be able to finish the race in 90 minutes. If he can run a mile in 8 minutes and bike a mile in 3 minutes, he will be able to cover the same distance in just 84 minutes.
In the equations below, r represents the number of miles run, and b represents the number of miles biked. 7r + 4b = 90 8r + 3b = 84
How many miles will John
run during the race?
6 miles
7 miles
8 miles
12 miles
MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

5. Algebra 1 Mini-Lessons
According to government standards, a 100-gram piece of ''extra lean'' meat must contain 425 or fewer calories. A piece of extra lean meat contains 190 grams of protein and 10 grams of fat, for a total of 850 calories. A second piece of meat is the same weight, but it is not extra lean. This piece of meat contains 180 grams of protein and 20 grams of fat, but it has a total of 900 calories. In the equations below, f represents the number of calories in a gram of fat, and p represents the number of calories in a gram of protein. 190p + 10f = p + 20f = 900
How many calories are
in a gram of protein? 4 5 8 9
MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

6. Algebra 1 Mini-Lessons $ 3,750 $ 12,750 $ 16,500 $ 22,550
During a recent campaign, a candidate purchased two television commercials and one radio commercial for $29,250 in September. In October, she spent $62,250 on four television ads and three radio ads. In the equations below, r represents the cost of one radio commercial and t represents the cost of one television commercial. 2t + r = 29,250 4t + 3r = 62,250
What is the cost, in dollars,
of one television commercial?
$ 3,750
$ 12,750
$ 16,500
$ 22,550
MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.