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 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 expressions has a simplified value of 3a – 2?

• -6a+9a+4–2

• -a+4+5a–a–6

• -8+3a+10–a

• -10–5a+12+8a

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

The perimeter of the rectangle is 42 inches. Find the value of x.

• 7.5

• 3.25

• 4

• 6.5

If the area of the rectangle shown is 88 square inches, which equation could be used to find the value of x?

• .3/4x +13=88

• 8 3/4 x + 5 = 88

• 17 1/2x +40=88

• 6x + 40 = 8 8

Which is the correct solution to the equation shown?

• x = 8

• x = -8

• x = 17.5

• x = 4.16

Which of the following equations would have no solution?

• 10x+3=3+10x

• -8+16x=16x–8

• 4(2x–3)=8x–12

• 3(-2x+4)=-6x-12