Algebra 1 Benchmark 3 Review

Front

What is the explicit rule for the sequence: 11, 22, 44, 88?

Back

a_n = 11(2)^(n-1)

Front

What can be said about the y-intercepts of the functions f(x) and g(x) if f(x) has a greater y-intercept than g(x)?

Back

The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

Front

In the function representing savings for a skateboard, how are the initial amount and weekly savings represented?

Back

10 would be the y-intercept; 5 would be the slope.

Front

What is the starting height of the ball in the equation h(t) = -16t^2 + 140t + 3?

Back

3 feet.

Front

If a candle store received $355.60 for selling 20 candles, how many large candles were sold if small candles sell for $10.98 and large candles for $27.98?

Back

8 large candles.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the difference between a function and a relation?

Back

A function is a special type of relation where each input has exactly one output.