Algebra I Review of Linear Equations

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

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

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

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

• Inverse Operations

• Division

• Multiplication

• Parenthesis

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.

Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month.

The equation that represents this scenario is 60 + 50.45x = 57.95x

• True.

• False.

Distribute and simplify the following expression.

-3(2 - 4w) + (-11w)

• -6 + 12w + 11w

• w - 6

• -6 + -w

• -6 + 12w - 11w

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

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