EOC Review: Solving Linear Equations and Literal 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 ax + b = c, where a, b, and c are constants.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables. It is often solved for one variable in terms of the others.

Front

Solve for k: 3(k+1)+11k=2(4+5k)+3

Back

k = 2

Front

What is the formula for distance in terms of rate and time?

Back

d = rt, where d is distance, r is rate, and t is time.

Front

Solve for t in the equation d = rt.

Back

t = d/r

Front

If Camila paid $1.15 per pound for x pounds of tomatoes and received $4.48 in change from $10, how many pounds did she buy?

Back

Camila bought 4.8 pounds of tomatoes.

Front

Solve for t: 5t + 7 = 3t - 9

Back

t = -8

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.