Systems of Equations Applications Part 2

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 where the equations intersect on a graph.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you find the slope of a line from an equation?

Back

You can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation -5x - 2y = 10?

Back

Tags

CCSS.8.EE.B.5

Front

What is the sum of two numbers if one number is 3 more than the other?

Back

If the smaller number is x, then the larger number is x + 3. The sum is 2x + 3.

Tags

CCSS.6.EE.A.2A

Front

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

Back

Identify the variables, write equations based on the relationships described, and set them equal to each other.

Tags

CCSS.HSA.CED.A.3

Front

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

Back

The first step is to express one variable in terms of the other using one of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find its value that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

If Mr. Might and Ms. Might's ages sum to 55 and differ by 3, what are their ages?

Back

Their ages are 29 and 26.

Tags

CCSS.8.EE.C.8C

Front

What is a credit in the context of college courses?

Back

A credit is a unit that gives weighting to the value, level, or time requirements of an academic course.