Week 16~Tuesday

Front

What is the process to simplify the expression 6x - 8 - 5x + 3?

Back

Combine like terms: 6x - 5x = x and -8 + 3 = -5, so the simplified expression is x - 5.

Front

What does it mean for two variables to be proportional?

Back

Two variables are proportional if they have a constant rate of change, meaning that as one variable increases, the other increases at a consistent rate.

Front

How do you find the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity. For example, $3.60 for 3 pounds of apples gives a unit rate of $3.60 ÷ 3 = $1.20 per pound.

Front

What is the solution set for the inequality 12 ≥ 3(z+8)?

Back

First, divide both sides by 3: 4 ≥ z + 8. Then, subtract 8 from both sides: -4 ≥ z, or z ≤ -4.

Front

What integer represents a negative balance after a withdrawal?

Back

If Alex deposited $52 and withdrew $189, his balance is $52 - $189 = -$137.

Front

What is a constant rate of change?

Back

A constant rate of change means that the ratio between two quantities remains the same as one quantity changes.

Front

How do you determine if a number is a solution to an inequality?

Back

Substitute the number into the inequality and check if the statement is true.

Front

What does it mean for an expression to be equivalent to another expression?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the significance of the unit rate in real-life situations?

Back

The unit rate helps compare prices or quantities, making it easier to understand costs per item or per unit.

Front

What is the meaning of 'not a possible solution' in the context of inequalities?

Back

It means that substituting that number into the inequality does not satisfy the condition set by the inequality.