Unit 6: Equivalent Expressions and One-Variable Equations

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

What does the inequality x > 5 represent?

Back

It represents all numbers greater than 5.

Front

What is the value of 2^4?

Back

16

Front

Is 2^5 the same as 2 x 5?

Back

No, 2^5 means 2 multiplied by itself 5 times, which equals 32.

Front

How can you express 4^4 without using exponents?

Back

4 x 4 x 4 x 4.

Front

What does 'twice a number' mean in algebra?

Back

It means 2 times that number, often represented as 2x.

Front

What is the solution to the equation 2x = 36?

Back

x = 18.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.

Front

What does the expression 3(x + 4) simplify to?

Back

3x + 12.

Front

What is the first step in solving the equation x + 5 = 12?

Back

Subtract 5 from both sides to isolate x.