Math 1 Review For Fall Final Exam

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

Solve the equation: 7x + 19 = -2x + 55.

Back

x = 4.

Front

What is the next term in this sequence? 5, 10, 20, ...

Back

The next term is 40.

Front

Solve the inequality: 0 < x + 7 < 9.

Back

-7 < x < 2.

Front

Write an equation to represent the price of a house after x years if it was purchased for $190,000 and increases by 2% annually.

Back

y = 190,000(1.02)^x.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a linear equation.

Back

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

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the difference between a rational and an irrational number?

Back

Rational numbers can be expressed as a fraction, while irrational numbers cannot.