Solving Linear Equations with Parentheses and Variables on Both Sides

Choose all of the following options that are possible first steps when solving

2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides

Equations with variables on both sides are best solving using....

• Inverse Operations

• Division

• Multiplication

• Parenthesis

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Tags

CCSS.HSA.REI.C.8

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

Simplify and tell whether the equation has one, zero or infinite solutions.

2(3x - 6) = -12 + 6x

• x = 4; One Solution

• x = -x; No Solution

• 0 = 0; Infinite Solutions

• x = 0; One Solution

Tags

CCSS.8.EE.C.7A

In the equation,

−5 + 5(n − 7) = −40 + 5n

What is your first step?

• adding 5 to both sides

• distributing 5 to everything inside the parenthesis

• combining like terms

• subtracting 5 to both sides

Solve: -n + 8 = -3(n - 4)

• All real numbers

• -1

• 2

• -7

Which is a reasonable first step that can be used to solve the equation

• Distribute the 3 to x + 2, and distribute the 5 to (2x – 3).

• Combine 4x and x on the left side of the equation.

• Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.

• Apply the addition property of equality to move the 3 from the right to the left side of the equation.

Tags

CCSS.8.EE.C.7B

10x + 15 = 7x + 45

• x = 5

• x = 3

• x = 10

• x = 9

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4