Solving Linear Equations Solutions

Select a method that can be used to find the value x.

x - 18 = 6 - 3x

• Add x to both sides, subtract 6 from both sides, then divide both sides by 2.

• Add 3x to both sides add 18 to both sides, then divide both sides by 4.

• Subtract x from both sides, add 6 to both sides, then divide both sides by 4.

• Subtract 3x from both sides, subtract 18, then divide both sides by 2.

• x = -2

• x = 3

• x = -3

• x = 2

Which is the correct first step in solving the equation shown?

• Subtract 33 from both sides

• Add 33 from both sides

• Add 3.5 from both sides

• Multiply both sides by -3.5

Which is the correct first step to solve the linear equation shown?

• Add 2.5 to both sides

• Divide -2.5 from both sides

• Add 15 to both sides

• Subtract 15 from both sides

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

• Austin did not combine 7x and 8x correctly.

• Austin did not combine -3 and -9 correctly.

• Austin did not divide correctly.

• Austin did not make an error in his work.

Which of the following shows the equation after both sides have been distributed correctly?

• -4x – 8 = 15x – 40

• -4x – 6 = 15x – 3

• -4x + 8 = 15x – 40

• -4x + 8 = 15x + 40

Which is the correct solution to the equation shown?

• x = 8

• x = -8

• x = 17.5

• x = 4.16

How many solutions does the following equation have? 10x + 2(x – 6) = 3(4x – 4)

• One solution

• Two solutions

• No solution

• Infinitely many solutions: all real numbers

How many solutions does the following equation have: 7x – 4 + x = -1 + 13x + 7

• One solution

• Two solutions

• No solution

• Infinitely many: all real numbers

What is the solution to the following equation:

7x – 4 + x = -1 + 13x + 7

• 2

• -2

• 2/5

• -2/5