Algebra 1 Midterm Review

Front

Which property allows the last question to be written as 7 + 5x or 5x + 7?

Back

Commutative Property: This property states that the order of addition does not change the sum.

Front

What is the value of x in the equation 4(x - 7) = 0.3(x + 2) + 2.11?

Back

x = 8.3

Front

The owner of a landscaping business wants to know how much time, on average, his workers spend mowing one lawn. Which is the most appropriate rate to calculate this?

Back

Hours per lawn: This rate gives a clear measure of time spent on each lawn.

Front

Which interval notation represents −8 < x ≤ 5?

Back

(-8, 5]: This notation indicates that x is greater than -8 and less than or equal to 5.

Front

What is the slope of the line whose equation is 5x + 2y = 6?

Back

Slope = -\frac{5}{2}: This is derived from rearranging the equation into slope-intercept form.

Front

What is the definition of the Commutative Property in addition?

Back

The Commutative Property states that changing the order of the addends does not change the sum.

Front

What is the definition of the Associative Property in addition?

Back

The Associative Property states that the way in which numbers are grouped in addition does not change the sum.

Front

How do you solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What is the definition of slope in a linear equation?

Back

Slope is the measure of the steepness of a line, calculated as the rise over run.

Front

What does the term 'variable' mean in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value.