Algebra I Mid-Term Review

Front

Is this a function? {(6, –4), (2, –4), (–4, 2), (4, 6), (2, 6)}

Back

Not a function. A function cannot have two different outputs for the same input.

Front

Solve: x – (–74) = –22

Back

x = -96. To solve, add 74 to both sides: x = -22 + 74.

Front

Identify the common difference in the sequence: 3, 7, 11, 15, ...

Back

The common difference is 4. It is the difference between consecutive terms.

Front

Evaluate: 2[12 +(5- 2)²]

Back

42. First, calculate (5-2)² = 9, then 2[12 + 9] = 42.

Front

Solve for w: 7w + 5 = 3w - 15

Back

w = -5. Subtract 3w from both sides and then isolate w.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of ax² + bx + c = 0.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equality sign, while an equation does.