Solve Systems by Substitution

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

Solving a system of equations by substitution involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a zero pair in mathematics?

Back

A zero pair consists of two numbers that add up to zero, such as 5 and -5.

Tags

CCSS.7.NS.A.1B

Front

What is the opposite of negative in terms of numbers?

Back

The opposite of negative is positive.

Tags

CCSS.6.NS.C.6A

Front

How do you find the value of y in the equation y = 3x - 5 when x = 1?

Back

Substituting x = 1 into the equation gives y = 3(1) - 5 = -2.

Tags

CCSS.HSF.IF.A.2

Front

What is the solution to the system of equations 2x + 4y = -6 and y = 3x - 5?

Back

The solution is (1, -2).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving the system of equations using substitution?

Back

The first step is to solve one of the equations for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If x = 6, what is the value of y in the equation y = 2x - 3?

Back

Substituting x = 6 gives y = 2(6) - 3 = 9.

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the point(s) where the lines representing the equations intersect.

Tags

CCSS.8.EE.C.8B