5C/2I Write and Solve Systems STAAR Review

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 point(s) where the equations intersect.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Front

What does it mean to solve a system of equations by substitution?

Back

To solve by substitution, you solve one equation for one variable and then substitute that expression into the other equation.

Front

What is the first step in solving a system of equations?

Back

The first step is to write the equations in a standard form, if necessary, and identify the variables.

Front

What is the meaning of 'b' and 'g' in the context of the bowling team problem?

Back

In the bowling team problem, 'b' represents the number of boys and 'g' represents the number of girls on the team.

Front

How do you find the number of shirts when two companies charge the same amount?

Back

Set the cost equations of both companies equal to each other and solve for the number of shirts.

Front

What is the equation for the cost of shirts from the first company?

Back

The equation is y = 9.65x + 43, where y is the total cost and x is the number of shirts.

Front

What is the equation for the cost of shirts from the second company?

Back

The equation is y = 8.40x + 58, where y is the total cost and x is the number of shirts.

Front

What does '1.5 times as many' mean in mathematical terms?

Back

It means to multiply the quantity by 1.5. For example, if there are 'r' running shoes, then there are '1.5r' walking shoes.

Front

How do you set up equations for the shoe store problem?

Back

Let r be the number of running shoes. Then, walking shoes = 1.5r and the total is r + 1.5r = 135.