Alg 1 Unit 2 Desmos Review

Front

What is the correct method to isolate x in the equation 8x + 2y = 100?

Back

To isolate x, first subtract 2y from both sides, then divide by 8.

Front

What equation represents the area constraints for planting squash and carrots?

Back

The equation is 2c + 3s = 100, where c is the number of carrot plants and s is the number of squash plants.

Front

How do you solve the equation 3x − 1 = 4(x + 2) for x?

Back

First, distribute 4 to (x + 2), then combine like terms and isolate x to find x = -9.

Front

What is the solution for x in the equation 5(3x - 4) = 10?

Back

The solution is x = 2.

Front

How do you solve for x in the equation 3 = 6x + 11 + 2x?

Back

Combine like terms to get 3 = 8x + 11, then isolate x to find x = -1.

Front

What does it mean to simplify an equation?

Back

Simplifying an equation means to combine like terms and reduce it to its simplest form.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that it satisfies the original equation, confirming its correctness.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the variable represent in the equation 2c + 3s = 100?

Back

In this equation, c represents the number of carrot plants and s represents the number of squash plants.

Front

What is the first step in solving the equation 5(3x - 4) = 10?

Back

The first step is to distribute 5 to both terms inside the parentheses.