A1 Unit 2 Review

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 5m and 3m are like terms because they both contain the variable m.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract their coefficients while keeping the variable part the same. For example, 5m + 3m = (5 + 3)m = 8m.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3(b + 5) becomes 3b + 15.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable by itself on one side of the equation. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

Front

What does it mean if an equation has 'no solution'?

Back

An equation has 'no solution' when there is no value for the variable that can satisfy the equation. For example, 2x + 3 = 2x + 7 has no solution because the variable terms cancel out, leaving a false statement.

Front

What is the solution to the equation 7(2x - 4) = 42?

Back

To solve for x, first distribute the 7: 14x - 28 = 42. Then, add 28 to both sides: 14x = 70. Finally, divide by 14: x = 5.

Front

What is the purpose of distributing in algebra?

Back

Distributing is used to eliminate parentheses in an expression or equation by multiplying each term inside the parentheses by the term outside.

Front

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

Back

To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.

Front

What is the significance of coefficients in algebraic expressions?

Back

Coefficients are the numerical factors in front of variables in algebraic expressions. They indicate how many times the variable is being multiplied.

Front

What is the process for solving a linear equation?

Back

The process for solving a linear equation typically involves simplifying both sides, isolating the variable, and then solving for the variable.