Unit 2 Test Review

Front

What is the process to simplify the expression 5x + 3 - 2x + 8?

Back

Combine like terms: 5x - 2x = 3x and 3 + 8 = 11, so the simplified expression is 3x + 11.

Front

How do you solve for y in the equation 3(y + 4) = 18?

Back

First, distribute: 3y + 12 = 18. Then, subtract 12 from both sides: 3y = 6. Finally, divide by 3: y = 2.

Front

What is the Greatest Common Factor (GCF) of the expression 12x + 36?

Back

The GCF is 12, so you can factor the expression as 12(x + 3).

Front

How do you solve for y in the equation 1/2y + 6 = 10?

Back

Subtract 6 from both sides: 1/2y = 4. Then, multiply both sides by 2: y = 8.

Front

What is the solution for p in the equation 1.5p + 4.2 = 10.8?

Back

Subtract 4.2 from both sides: 1.5p = 6.6. Then, divide by 1.5: p = 4.4.

Front

What does it mean to simplify an expression in algebra?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

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 parenthesis.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power, which can be combined through addition or subtraction.

Front

How do you identify the GCF of two or more numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in all lists.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation, often by using addition or subtraction.