7th Exam Review Updated 12/6/22

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio. For example, if the price per pound of cheese is always $5.30, then the total price is proportional to the weight.

Front

How do you simplify the expression 4(x + 1)?

Back

4(x + 1) simplifies to 4x + 4.

Front

What is the equation of a line that passes through the origin with a slope of 2?

Back

The equation is y = 2x.

Front

What is the difference between a linear equation and a non-linear equation?

Back

A linear equation graphs as a straight line and has the form y = mx + b, while a non-linear equation can graph as a curve and does not fit this form.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

How do you solve for m in the equation 2(m + 3) = 12?

Back

First, distribute: 2m + 6 = 12. Then, subtract 6 from both sides: 2m = 6. Finally, divide by 2: m = 3.

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

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, and A is non-negative.

Front

How do you identify the y-intercept from the equation y = 2x + 3?

Back

The y-intercept is the value of y when x = 0. In this case, it is 3.