Writing & Solving Multi Step Equations

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

• The distributive property states that a + (b + c) = (a + b) + c, allowing you to add numbers in any order.

• The distributive property states that a(b - c) = ab - ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

• The distributive property states that a(b + c) = a + b + c, allowing you to add terms inside a set of parentheses.

How do you set up an equation for 'eleven less than the quotient of a number and 3 is 18'?

• n/3 - 11 = 18

• n/3 + 11 = 18

• n - 11/3 = 18

• 11 - n/3 = 18

How do you solve for a variable in the equation 3(a + 5000) = 81000?

• First, multiply both sides by 3 to isolate (a + 5000).

• First, divide both sides by 3 to isolate (a + 5000), then subtract 5000 to find a.

• First, add 5000 to both sides to isolate (a + 5000).

• First, subtract 5000 from both sides to isolate (a + 5000).

How do you isolate a variable in an equation?

• By adding the same number to both sides of the equation until the variable is alone on one side.

• By performing inverse operations to both sides of the equation until the variable is alone on one side.

• By multiplying both sides of the equation by the variable's coefficient.

• By dividing both sides of the equation by the variable's exponent.

If Alex has $7.90 total and $5.15 in nickels, how do you find the number of quarters he has?

• Set up the equation: 0.25q + 5.15 = 7.90, where q is the number of quarters.

• Calculate the total amount of nickels and subtract from $7.90.

• Divide $7.90 by the value of a quarter to find the number of quarters.

• Subtract $5.15 from $7.90 to find the value of the quarters.

What is a multi-step equation?

• An equation that requires only one step to solve.

• An equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

• An equation that has no solution.

• An equation that can be solved by simple arithmetic operations.

What is the solution to the equation 2a + 3 = 25?

• a = 9

• a = 10

• a = 11

• a = 12

What is the equation for 'twice a number plus 3 is 25'?

• 2a + 3 = 20

• 2a + 3 = 25

• a + 3 = 25

• 2a + 3 = 30

If 7 + (w + x + y + z)/4 = 52, how do you find the sum of w, x, y, and z?

• w + x + y + z = 160

• w + x + y + z = 180

• w + x + y + z = 200

• w + x + y + z = 150

What is the first step in solving the equation 2a + 3 = 25?

• Subtract 3 from both sides of the equation to isolate the term with the variable.

• Add 3 to both sides of the equation to simplify it.

• Multiply both sides of the equation by 2 to eliminate the variable.

• Divide both sides of the equation by 2 to solve for a.