Add and Subtract Linear Equations

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 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

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:

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

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 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