Solve by Substitution: Equations and Inequalities

Front

What is the substitution method in solving equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into another equation to find the values of the variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation w ÷ 6 = 7?

Back

w = 42, because multiplying both sides by 6 gives w = 7 * 6.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 5 + g = 6?

Back

g = 1, because subtracting 5 from both sides gives g = 6 - 5.

Tags

CCSS.6.EE.B.7

Front

How do you solve the inequality x + 7 > 15?

Back

To solve, subtract 7 from both sides to get x > 8.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the equation 4 - a = 1?

Back

a = 3, because subtracting 4 from both sides and then multiplying by -1 gives a = 4 - 1.

Tags

CCSS.6.EE.B.7

Front

How do you solve the inequality p - 81 ≥ 20?

Back

Add 81 to both sides to get p ≥ 101.

Tags

CCSS.7.EE.B.4B

Front

What does it mean for a solution to be valid in an inequality?

Back

A valid solution satisfies the inequality when substituted back into the original inequality.

Tags

CCSS.6.EE.B.5

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

What is the first step in solving a linear equation?

Back

Identify the variable to isolate and determine the operations needed to isolate it.

Tags

CCSS.7.EE.B.4A