Honors Algebra Fall Final Review Part 1

Front

Solve for x: 3(5x + 10) + 10 = 6x - (x + 10)

Back

x = -5

Front

Solve the inequality: -7x + 15 ≥ -20

Back

x ≤ 5

Front

Write the equation with a slope of 2/3 and a y-intercept of -3

Back

y = \frac{2}{3}x - 3

Front

Solve the equation: |2x + 9| = 15

Back

x = 3, x = -12

Front

How many solutions does the inequality 2 ≥ 2 have?

Back

infinitely many solutions

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates the steepness and direction of the line.

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you solve an absolute value equation?

Back

Set up two separate equations: one for the positive case and one for the negative case.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.