Topic 6 Review

Front

What is the equation to find the original number of baseball cards if half were ruined and 11 were bought to replace some?

Back

Let x be the original number of cards. The equation is: (x/2) + 11 = 31. Solve for x.

Front

What does the equation -11 + 3(b + 5) = 7 represent?

Back

This is a linear equation in one variable. To solve for b, isolate b on one side.

Front

How do you solve for w in the equation 3w = 32?

Back

Divide both sides by 3: w = 32/3.

Front

What is the process to solve for m in the equation 6m = -11?

Back

Divide both sides by 6: m = -11/6.

Front

If you spent a total of $11 on a magazine and 6 erasers, how do you find the cost of each eraser?

Back

Subtract the cost of the magazine from the total, then divide by the number of erasers: (11 - 8) / 6 = $0.50.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed. It has the form y = mx + b.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the distributive property in mathematics?

Back

a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.