Systems - Elimination Method

Question 1 - Part A

Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference in their weights is 170 tons. Use the system below to find the weight of Train A. Include the units of measurement alongside your answer.

a + b = 312

a - b = 170

Tags

CCSS.8.EE.C.8C

Question 1 - Part B

Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference in their weights is 170 tons. Use the system below to find the weight of Train B. Include the units of measurement alongside your answer.

a + b = 312

a - b = 170

Tags

CCSS.8.EE.C.8C

Question 2 - Part A

At a basketball game, a team made 56 successful shots. They were a combination of 1- and 2- point shots. The team scored 94 points in all. Solve the system of equations below to find the number of 1-point shots that were made.

x + y = 56

x + 2y = 94

Tags

CCSS.8.EE.C.8C

Question 2 - Part B

At a basketball game, a team made 56 successful shots. They were a combination of 1- and 2- point shots. The team scored 94 points in all. Solve the system of equations below to find the number of 2-point shots that were made.

x + y = 56

x + 2y = 94

Tags

CCSS.8.EE.C.8C

Question 3 - Part A

If you add Natalie's age and Frankie's age, the result is 44. If you add Frankie's age to 3 times Natalie's age, the result is 70. Write and solve a system of equations to find Natalie's age.

Tags

CCSS.8.EE.C.8C

Question 3 - Part B

If you add Natalie's age and Frankie's age, the result is 44. If you add Frankie's age to 3 times Natalie's age, the result is 70. Write and solve a system of equations to find Frankie's age.

Tags

CCSS.8.EE.C.8C

Question 4 - Part A

Find the value of n.

3m + 3n = 36

8m - 5n = 31

Tags

CCSS.HSA.REI.C.9

Question 4 - Part B

Find the value of m.

3m + 3n = 36

8m - 5n = 31

Tags

CCSS.HSA.REI.C.9

Question 5 - Part A

A deli offers two platters of sandwiches. Platter A, which costs $31, includes 2 roast beef sandwiches and 3 turkey sandwiches. Platter B, which costs $29, includes 3 roast beef sandwiches and 2 turkey sandwiches. Write and solve a system of equations to determine the cost of a roast beef sandwich.

Tags

CCSS.8.EE.C.8C

Question 5 - Part B

A deli offers two platters of sandwiches. Platter A, which costs $31, includes 2 roast beef sandwiches and 3 turkey sandwiches. Platter B, which costs $29, includes 3 roast beef sandwiches and 2 turkey sandwiches. Write and solve a system of equations to determine the cost of a turkey sandwich.

Tags

CCSS.8.EE.C.8C