Test 6 RETEST

Front

What is the standard form of a linear inequality?

Back

A linear inequality is expressed in the form Ax + By <, >, ≤, or ≥ C, where A, B, and C are constants.

Front

How do you represent a situation where you want to make at least a certain amount of money using linear inequalities?

Back

You use the inequality symbol ≥ to indicate that the total must be greater than or equal to the target amount.

Front

What is the first step to solve the equation 19 - 2k = 3k - 1?

Back

Combine like terms by adding 2k to both sides.

Front

What is the error in the following steps: 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20?

Back

The error is in the step where they should have subtracted 3k instead of adding it.

Front

How do you set up a system of equations for a word problem involving coins?

Back

Define variables for each type of coin, set up equations based on the total number of coins and their total value.

Front

What is the total value of 280 coins consisting of dimes and nickels if the total is $26.60?

Back

The total value can be expressed as 0.10d + 0.05n = 26.60, where d is the number of dimes and n is the number of nickels.

Front

What is the solution to the equation 0.1(y + 2) = 4(0.2y - 0.3)?

Back

The solution is y = 2.

Front

What does it mean for a graph to represent a system of inequalities?

Back

It means that the graph shows the region where all inequalities in the system are satisfied.

Front

How do you determine the number of solutions for a system of linear equations?

Back

By analyzing the graphs: if they intersect at one point, there is one solution; if they are parallel, there are no solutions; if they are the same line, there are infinitely many solutions.

Front

What is the significance of the inequality symbol in a linear inequality?

Back

It indicates the relationship between the two sides of the inequality, showing whether one side is less than, greater than, or equal to the other.