Math Review Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve the equation 7x = 84?

Back

Divide both sides by 7: x = 84 / 7, so x = 12.

Front

What is the solution to the equation m - 3 = 4?

Back

Add 3 to both sides: m = 4 + 3, so m = 7.

Front

How do you solve the equation c - 1 = 8?

Back

Add 1 to both sides: c = 8 + 1, so c = 9.

Front

What equation represents the problem: Marco has 95 apples and needs 215 apples?

Back

p + 95 = 215, where p is the number of apples Polo needs to pick.

Front

What is the cost equation for a large pizza at Palanzio’s Pizzeria?

Back

y = 6.80 + 0.90x, where y is the total cost and x is the number of toppings.

Front

What is the cost equation for a large pizza at Guido’s Pizza?

Back

y = 7.30 + 0.65x, where y is the total cost and x is the number of toppings.

Front

How do you find the number of toppings when both pizza companies cost the same?

Back

Set the two equations equal to each other: 6.80 + 0.90x = 7.30 + 0.65x.

Front

What is the slope in the equation y = 2x + 3?

Back

The slope (m) is 2, which indicates the steepness of the line.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.