Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, 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 first step in solving the equation -2x - 7 + 3x = 10?

Back

Combine like terms: (-2x + 3x) - 7 = 10, which simplifies to x - 7 = 10.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms: (3y + 4y) + (6 - 7) = -8, which simplifies to 7y - 1 = -8. The solution is y = -1.

Tags

CCSS.8.EE.C.7B

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

Solve the equation 5x - 14 = 8x + 4.

Back

Subtract 5x from both sides: -14 = 3x + 4. Then, subtract 4: -18 = 3x. Finally, divide by 3: x = -6.

Front

What is the solution to the equation 10(h + 1) - 4 = 76?

Back

First, distribute: 10h + 10 - 4 = 76. Then, simplify: 10h + 6 = 76. Subtract 6: 10h = 70. Finally, divide by 10: h = 7.

Tags

CCSS.7.EE.B.4A

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

Solve the equation 7(1 - y) = -3(y - 2).

Back

Distribute: 7 - 7y = -3y + 6. Rearranging gives: -7y + 3y = 6 - 7, leading to -4y = -1, so y = 1/4.