ACT Prep (Math)

What does it mean for two lines to be parallel?

• Two lines are parallel if they have the same slope and will never intersect.

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if they have different slopes.

• Two lines are parallel if they are both horizontal.

If @@f(x)=2x+3@@ and @@g(x)=x^2+3@@, what is the value of @@f(g(2))@@?

• 9

• 10

• 11

• 12

What is the difference between a linear function and a quadratic function?

• A linear function has a degree of 1 and graphs as a straight line, while a quadratic function has a degree of 2 and graphs as a parabola.

• A linear function has a degree of 2 and graphs as a parabola, while a quadratic function has a degree of 1 and graphs as a straight line.

• Both linear and quadratic functions have a degree of 1 and graph as straight lines.

• A linear function can have multiple outputs for a single input, while a quadratic function has only one output for each input.

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

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

• y = ax^2 + bx + c, where a, b, and c are constants.

• y = m(x - b) + b, where m is the slope and b is a point on the line.

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

What is the formula to find the roots of a quadratic equation?

• @@x = rac{-b \pm \\sqrt{b^2 - 4ac}}{2a}@@

• @@x = rac{-b \\pm \\sqrt{b^2 + 4ac}}{2a}@@

• @@x = rac{-b \\pm \\sqrt{b^2 - ac}}{2a}@@

• @@x = rac{-b \\pm \\sqrt{b^2 - 4a}}{2c}@@

Solve for x: @@3(x-2)=5x+1@@

• -2.5

• 1

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• 0.5

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

• @@m = rac{y2 - y1}{x2 - x1}@@

• @@m = rac{x2 - x1}{y2 - y1}@@

• @@m = y2 - y1 + x2 - x1@@

• @@m = rac{y1 + y2}{x1 + x2}@@

The line @@y = mx + b@@ passes through the points (2, 5) and (4, 9). What is the value of m?

• 1

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What is the definition of a function?

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

• A function is a type of variable that can hold multiple values.

• A function is a mathematical operation that can only be performed on integers.

• A function is a graphical representation of data points.

What is the vertex form of a quadratic function?

• f(x) = a(x-h)^2 + k

• f(x) = ax^2 + bx + c

• f(x) = a(x + h)^2 + k

• f(x) = a(x - h)^2 - k