Basic Algebra Review

Front

What is the first step to solve the equation 19 - 2k = 3k - 1?

Back

The first step is to isolate the variable k by moving all terms involving k to one side of the equation.

Front

How do you simplify the expression 3(2y - 7)?

Back

You distribute the 3 to both terms inside the parentheses: 3 * 2y = 6y and 3 * -7 = -21, resulting in 6y - 21.

Front

What is the result of simplifying the expression 6(x + 1) - 5(x + 2)?

Back

You distribute 6 and -5 to get 6x + 6 - 5x - 10, which simplifies to x - 4.

Front

How do you simplify the expression ½(8x + 2)?

Back

You distribute ½ to both terms: ½ * 8x = 4x and ½ * 2 = 1, resulting in 4x + 1.

Front

What is the simplified form of the expression -4(8 - c) - (3c + 7)?

Back

Distributing -4 gives -32 + 4c, and then combining with -3c - 7 results in c - 39.

Front

What is the principle of combining like terms in algebra?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

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 and all other terms are on the opposite side.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

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

Back

You substitute your solution back into the original equation to see if both sides are equal.

Front

What is the difference between an equation and an expression?

Back

An equation contains an equal sign and shows that two expressions are equal, while an expression does not have an equal sign and represents a value.