Solving Linear Equations: Variables on Both Sides

Question 1

What is the solution to the linear equation?2.8y + 6 + 0.2y = 5y – 14

Revolt · Accepted Answer

y = 10

Question 2

Which step could be used to help isolate the variable in the following equation?5.6j – 0.12 = 4 + 1.1j

Revolt · Accepted Answer

Subtract 1.1j from both sides.

Question 3

Use properties to rewrite the given equation. Which equations have the same solution as the equation x + + x = – xSelect three options.

Question 4

What is the solution to the linear equation?4b + 6 = 2 – b + 4

Revolt · Accepted Answer

b = 0

Question 5

What is the justification for the step taken from line 2 to line 3?

Revolt · Accepted Answer

the subtraction property of equality

Question 6

The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month.

Revolt · Accepted Answer

250.5 – 35m = 300 – 45.25m

Question 7

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6 – x + = x + 5

Revolt · Accepted Answer

12

Question 8

Solve the equation.–3x + 1 + 10x = x + 4

Revolt · Accepted Answer

x =

Question 9

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?m – = 2 + m

Revolt · Accepted Answer

4

Question 10

What is the solution to the linear equation?x – = + x

Revolt · Accepted Answer

x = –5

Solving Linear Equations: Variables on Both Sides Answers

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