1st Semester Algebra Review

Front

What does the inequality 6 > x mean?

Back

x is any number less than 6.

Front

If a hamburger costs $8.90 and each topping costs $1.50, how many toppings did Dexter get?

Back

Dexter got 5 toppings.

Front

What is the first step to isolate x in the equation 3x + 10 = 16?

Back

Subtract 10 from both sides of the equation.

Front

Write the equation of a line in point-slope form that passes through (3,8) with a slope of 5/7.

Back

y - 8 = 5/7(x - 3)

Front

How can you determine if a graph represents a function?

Back

A graph is a function if every x-value has exactly one y-value.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

What is the purpose of the distributive property in algebra?

Back

The distributive property allows you to multiply a single term by two or more terms inside a set of parentheses.