Unit 5 LT.4: Students solve word problems using systems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Front

How do you represent the sum of two numbers, x and y, in an equation?

Back

The sum of two numbers x and y can be represented as x + y = S, where S is the total sum.

Front

How do you represent the difference between two numbers, x and y, in an equation?

Back

The difference between two numbers x and y can be represented as x - y = D, where D is the difference.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that make all equations true simultaneously.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and formulation of equations.

Front

How can you translate a word problem into a system of equations?

Back

Identify the unknowns, assign variables, and translate the relationships and conditions described in the problem into equations.

Front

What is the importance of checking your solution in a system of equations?

Back

Checking your solution ensures that the values satisfy all equations in the system, confirming that the solution is correct.

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the equations represent parallel lines that never intersect.