Multistep Equations and INequalities

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms: 7y - 1 = -8. Then, add 1 to both sides: 7y = -7. Finally, divide by 7: y = -1.

Front

What does the inequality -31 ≤ 8m + 9 represent?

Back

It represents a range of values for m that satisfy the condition. To solve, subtract 9 from both sides: -40 ≤ 8m, then divide by 8: -5 ≤ m.

Front

What is the solution to the equation 4x - 3 = 17?

Back

Add 3 to both sides: 4x = 20. Then, divide by 4: x = 5.

Front

What inequality does the number line graph represent if it shows values less than -1?

Back

The inequality is x + 2 < 4, which simplifies to x < 2.

Front

How do you solve the equation 96 = 6(k + 8)?

Back

Divide both sides by 6: 16 = k + 8. Then, subtract 8 from both sides: k = 8.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the first step in solving the inequality 2x + 1 < -3?

Back

Subtract 1 from both sides: 2x < -4.

Front

How do you graph the inequality m ≥ -5?

Back

Draw a number line, shade to the right of -5, and use a closed circle at -5 to indicate that -5 is included.