Solving Linear Equations Using Algebra

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

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

Tags

CCSS.HSA.REI.C.8

Solve the following equation for p.

• p = -4

• p = 4

Tags

CCSS.6.EE.B.7

Solve for y

3x - 2y = 25

Mathematical Equivalence

ON

Tags

CCSS.6.EE.C.9

Solve for y: 
8x + 4y= 16

Mathematical Equivalence

ON

Tags

CCSS.6.EE.C.9

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

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.

Tags

CCSS.6.EE.B.7