Algebra 1 Semester 1 Review

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 convert the equation 3x - 4y = 8 to slope-intercept form?

Back

Rearranging gives y = (3/4)x - 2.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the formula to calculate the total cost of a service with hourly charges and fixed fees?

Back

Total Cost = (Hourly Rate * Hours Worked) + Fixed Fees.

Front

If a painter charges $35 per hour and $40 for a ladder rental, how would you express the total charge for painting?

Back

Total Charge = 35h + 40, where h is the number of hours worked.

Front

How do you solve for h in the equation 35h + 40 = 950?

Back

Subtract 40 from both sides to get 35h = 910, then divide by 35 to find h = 26.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using <, >, ≤, or ≥.

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open circle at 3, and shade to the right.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a solution to be 'equivalent' in algebra?

Back

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