Answer explanation

Distribute the negative/subtraction sign to every term in THAT set of parentheses.

Then collect like terms.

Answer explanation

Distribute (Multiply) what’s in front of the parentheses by each term inside THAT set of parentheses. Then collect LIKE terms.

Don’t forget to distribute (multiply out) negatives/subtraction signs that are in front of parentheses. (It changes the signs of ALL terms in THAT parentheses.)

Write the exponential function represented by the table of values.

Answer explanation

Put the table in Desmos, using the + on the top left, then use the regression equation y1~ab^x1.

Use the a and b values given to write the equation.

Answer explanation

There should be 4 multiplication problems.

Each term in the first set of parentheses is multiplied by every term in the second set.

FOIL

Multiply everything first. Then combine the middle terms.

What are the domain and range for the exponential function?

• The a value of 150 is the concentration of the chemical at time t, and the b value indicates that it decreases every second hour.

• The a value of 150 times the b value is always the concentration of the chemical that will remain in the solution.

• The a value represents the initial concentration of the chemical, and the b value of 150 indicates that for every time interval, t, the concentration increases by 150.

• The a value of 150 represents the initial concentration of the chemical, and the b value indicates that for every time interval, t, the concentration decreases by one-half.

• 17

• 32

• 60

• 28

Answer explanation

Follow order of operations.

Distribute Exponents first, only to terms inside parentheses they are attached to.

Exponents on the outside of parentheses means multiply.

Multiplying bases means add exponents.

• 2a + 1.5b + 10.5

• 2a - 2.5b + 10.5

• 0.8a - 1.5b + 10.5

• 2a - 2.5b + 9

Answer explanation

Collect like terms.

Answer explanation

There should be 4 multiplication problems.

Each term in the first set of parentheses is multiplied by every term in the second set.

FOIL

Multiply everything first. Then combine the middle terms.

Answer explanation

Find the gcf. In Desmos gcf(#,#)

Gcf in front of parentheses. Divide expression by gcf.

Since oy 1 variable is present, you can put the equations in Desmos (using x as the variable) to see which gives the same lines.