Equations Equations Equations

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

The objective when solving an equation is to....

• get the variable by itself (isolate).

• check the solution.

• guess and check.

• Combine Like Terms.

Solve for k:
3k + 5 = 23

• k = 4

• k = 5

• k = 6

• k = 7

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8

What is your first step in solving this equation? (there are two correct options, both will get you the same answer at the end)

• Subtract 4 from both sides

• Subtract 4/7 from both sides

• Subtract 1/7 from both sides

• Add 2 to both sides

How would you cancel out the 3/4 to get x by itself (isolate x)?

• Multiply both sides by 4/3

• Multiply both sides by 4

• Divide both sides by x

• Multiply both sides by 3/4

• 5

• 6

• 7

• 8

What is the first step (there are two options, you'd get the same answer either way)...

• Subtract 6 from both sides

• Subtract 3x from both sides

• Add 3 to both sides

• Subtract 4x from both sides

What is the first step (there are two options, you'd get the same answer either way)...

• Subtract 8c from both sides

• Add 34 to both sides

• Add 2c to both sides

• Subtract 4 from both sides

Maria and Jamie are saving up for Christmas. Maria has $150 and is saving $15 per week. Jamie has $200 and is saving $12 per week. Which equation would be used to find in how many weeks Maria and Jamie would have the same amount of money.

• 150x + 15 = 200x + 12

• 150 + 15x = 200 + 12x