Solving Linear Equations

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 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:

2(9x – 6) = 6(3x – 2) + 2

• One solution

• Two solutions

• No solution

• Infinitely many: 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

Solve the equation below.

• 18.8

• -14.8

• 24

• -24

Which of the following shows the equation below after it has been simplified?

• 34=10x+14

• 34=8x+18

• 34=9x+14

• 34=10x - 14

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