Algebra 1 Midterm Review

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. Does it have one, no, or infinite solutions?

Back

The equation has infinite solutions.

Front

What is the range of the function if the inequality is -4 ≤ y ≤ 5?

Back

The range is -4 ≤ y ≤ 5.

Front

Solve for a in the equation: a = pw. What is the formula for a in terms of p and w?

Back

a = pw.

Front

What is the range of the graph if the inequality is -3 ≤ y < 1?

Back

The range is -3 ≤ y < 1.

Front

Given f(x) = -4x - 10 and f(x) = 10, find x. What is the value of x?

Back

x = -5.

Front

What does it mean for an equation to have no solutions?

Back

An equation has no solutions when there are no values that satisfy it.

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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the solution to the equation: 2x + 3 = 11?

Back

x = 4.