EOC Category #1 Review

Front

If h(x) = -2x + 7; find h(-1)

Back

h(-1) = -2(-1) + 7 = 2 + 7 = 9

Front

Find f(2) if f(x) = 2x + 1

Back

f(2) = 2(2) + 1 = 4 + 1 = 5

Front

Which expression is equivalent to (3x – 1)(x + 5)?

Back

(3x – 1)(x + 5) = 3x^2 + 15x - x - 5 = 3x^2 + 14x - 5

Front

Find the 32nd term of the sequence: 9, 4, -1, -6, -11, ...

Back

The sequence decreases by 5 each time. The 32nd term is 9 - 5(31) = -146.

Front

Factor the expression: 4a^2 - 25

Back

4a^2 - 25 = (2a + 5)(2a - 5) (Difference of Squares)

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term is given by a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

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 vertex of a parabola given by y = ax^2 + bx + c?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What is the difference of squares?

Back

The difference of squares is a^2 - b^2 = (a + b)(a - b).