Envision Topic 3 Review

Front

What is the relationship between the base and the exponent in an expression like 4^3?

Back

The base is 4 and the exponent is 3, meaning you multiply 4 by itself three times: 4 × 4 × 4.

Front

How do you solve the equation 5x + (x ÷ 3) = 38.4 for x?

Back

To solve for x, you can first multiply the entire equation by 3 to eliminate the fraction, then isolate x to find that x = 7.2.

Front

What is an expression equivalent to 48 + 60?

Back

12(4 + 5) is equivalent to 48 + 60.

Front

How do you express '12 3/4 less than the product of 7 and a number x'?

Back

This can be expressed as 7x - 12 3/4.

Front

What is a coefficient in the expression 3y + 5?

Back

The coefficient is the number in front of the variable, which is 3 in this case.

Front

Define 'base' in the context of exponents.

Back

The base is the number that is being multiplied in an exponential expression.

Front

What does the exponent indicate in an expression like 2^5?

Back

The exponent indicates how many times to multiply the base by itself, so 2^5 means 2 × 2 × 2 × 2 × 2.

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.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters like x or y.