Linear Equation in Standard Form

What is the final step to converting this equation into standard form?

• Multiply both sides by 10

• Subtract 2 from both sides

• Divide both sides by 10

• Change the signs of each term

Put this into standard form:
y = 3x + 2

• y + 3x = 2

• 3x + y = 2

• -3x + y = 2

• 3x - 2y = 2

Is the equation below in standard form?

-5x + 2y = 10

• Yes, A is a whole number

• Yes, all of the terms are in order

• No, the terms are not in order

• No, A must be positive

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 12x + 14 = 708

• 12 + 14y = 708

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 15x + 20 = y

• 15x + 20y = 150 

• 150 - 20x = 15y 

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 5 = 10.80

• 4x + 5y = 10.80

• 5x + 4 = 10.80

• 4x + 10.80y = 5

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have $5.95. Write an equation to represent this situation.

• 0.05x + 0.10y = 5.95

• 0.10x + 0.05y = 5.95

• 0.05x + 0.10y = 595

• 0.10x + 0.05y = 595

A football team scores 63 points. All of the points come from field goals (x) worth 3 points and touchdowns (y) worth 7 points. Write an equation in standard form that represents this situation.

• 3x + 7y = 63

• 7x + 3y = 63

• x + y = 63

• x + y = 10

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

• 2 dogs

• 3 dogs

• 4 dogs

• 5 dogs

A basketball team has 54 points and has only made 2pt field goals and 3pt field goals. The equation 2x + 3y = 54 represents this. If the team makes nine 2pt field goals, how many 3pt field goals are made?

• 12

• 9

• 10

• 11