Steps for Solving Linear Equations

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

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

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

When solving an equation with a fraction, how do you get rid of said fraction?

• Multiply both sides of the equation by the least common denominator.

• Leave the fraction and move on.

• Multiply both sides of the equation by the numerator.

• Divide both sides of the equation by its reciprocal.

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

Solve the following equation for g.

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

Select the answer choice that represents infinite solutions.

• x = x

• x = 4

• x = y

• x= -x