Solving Linear Equations: Variables on Both
Sides/ Questions & Correct Answers/ 2024-
2025.
Two runners are saving money to attend a marathon. The first runner
has $112 in savings, received a $45 gift from a friend, and will save $25
each month. The second runner has $50 in savings and will save $60
each month.
Page 1 of 6
, Which equation can be used to find m, the number of months it will
take for both accounts to have the same amount of money? - Answer:
112 + 25m + 45 = 50 + 60m
Solve the equation.
y + 3 = -y + 9 - Answer: y = 3
What is the justification for the step taken from line 2 to line 3?
3x + 9 - 7x = x + 10 + x - Answer: the subtraction property of equality
Solve the equation.
8 - 2x = -8x + 14 - Answer: x = 1
Which number can each term of the equation be multiplied by to
eliminate the fractions the fractions before solving?
-3/4m -1/2 = 2 + 1/4m - Answer: 4
Page 2 of 6
Sides/ Questions & Correct Answers/ 2024-
2025.
Two runners are saving money to attend a marathon. The first runner
has $112 in savings, received a $45 gift from a friend, and will save $25
each month. The second runner has $50 in savings and will save $60
each month.
Page 1 of 6
, Which equation can be used to find m, the number of months it will
take for both accounts to have the same amount of money? - Answer:
112 + 25m + 45 = 50 + 60m
Solve the equation.
y + 3 = -y + 9 - Answer: y = 3
What is the justification for the step taken from line 2 to line 3?
3x + 9 - 7x = x + 10 + x - Answer: the subtraction property of equality
Solve the equation.
8 - 2x = -8x + 14 - Answer: x = 1
Which number can each term of the equation be multiplied by to
eliminate the fractions the fractions before solving?
-3/4m -1/2 = 2 + 1/4m - Answer: 4
Page 2 of 6
