Multi-Step Equations and Inequalities Review

Front

What is a multi-step equation?

Back

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

Front

How do you solve the equation 10(h+1)-4=76?

Back

h=7

Front

What is the first step in solving the equation 5y+34 = -2(-7y+1)?

Back

Distribute the -2 to both terms inside the parentheses.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6

Front

What is the correct order of operations when solving multi-step equations?

Back

1. Distribute 2. Combine like terms 3. Get the variable on one side by adding or subtracting 4. Divide or multiply.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 4(2a + 3) = -3(a - 1) + 31?

Back

a = 2

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

How do you solve an inequality?

Back

To solve an inequality, you follow similar steps as solving an equation, but you must reverse the inequality sign when multiplying or dividing by a negative number.