7th ACA 3rd 6 Weeks Cumulative Review Extra Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, or ≤.

Front

How do you solve the inequality 8c + 4 > -20?

Back

Subtract 4 from both sides: 8c > -24. Then divide by 8: c > -3.

Front

What does the equation y = 18x represent in a real-world context?

Back

It represents the total number of footballs Diego intercepts in x days, given he intercepts 18 footballs per game.

Front

What is the meaning of the inequality 3.15x - 21.00 ≥ 218?

Back

It means that a taxi driver needs to drive at least 218 miles, where the fare is $3.15 per mile, plus a fixed charge of $21.00.

Front

If x = 11, what is the solution to the equation 3(x - 9) = 6?

Back

Substituting x = 11 gives 3(11 - 9) = 6, which is true.

Front

What does the equation 162 + 25x = 564 represent?

Back

It represents Tony having $162 and saving $25 each week to reach a total of $564.

Front

What is the first step in solving the inequality 8c + 4 > -20?

Back

The first step is to subtract 4 from both sides of the inequality.

Front

What is the solution to the equation 2(x - 6) = 6?

Back

Add 12 to both sides: 2x = 18, then divide by 2: x = 9.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to another value.

Front

How do you interpret the solution c > -3?

Back

It means that c can be any number greater than -3.