ACT Math - Algebra #1

Front

A sandwich at a shop has 3.5 times as many calories as its deluxe chocolate brownie. An order of two sandwiches and 3 deluxe chocolate brownies has 2100 calories. How many calories are in one deluxe chocolate brownie?

Back

210 calories.

Front

Solve for x: x^2 + 2x – 15 = 0

Back

x = -5; x = 3.

Front

If (x/32) = (3/8), what is the value of x?

Back

x = 12.

Front

Find f(g(6)) where f(x) = 2x^2 – 10 and g(x) = 4 – 0.5x.

Back

f(g(6)) = -8.

Front

9 is 15% of what number?

Back

60.

Front

What is the formula for the quadratic equation?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a.

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

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 slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the difference between a function and a relation?

Back

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