Algebra 1 Final Exam Semester 1 (2024)

Front

What is the result of simplifying the expression 3(x - 2) = 18?

Back

The solution is x = 8.

Front

Simplify the expression \( (y^8)^9 \).

Back

The simplified form is \( y^{72} \).

Front

What is the simplified form of \( \frac{18w^{15}v^{10}}{6w^3v^2} \)?

Back

The simplified form is \( 3w^{12}v^8 \).

Front

What is the result of simplifying the expression \( (-5p)^2 \)?

Back

The result is \( 25p^2 \).

Front

Define the term 'exponent'.

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the power of a product rule in exponents?

Back

The power of a product rule states that \( (ab)^n = a^n b^n \).

Front

What is the power of a power rule in exponents?

Back

The power of a power rule states that \( (a^m)^n = a^{mn} \).

Front

What is the result of simplifying the expression \( 2^3 \times 2^4 \)?

Back

The result is \( 2^{3+4} = 2^7 \).

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol used to represent an unknown value.

Front

What is the distributive property?

Back

The distributive property states that \( a(b + c) = ab + ac \).