Question

6+x=4

-7+x=-9
x-3=-5

Solve the equation using algebra tiles. Explain your reasoning.
A) (x = -5); Combining like terms on both sides.
B) (x = -6); Adding and subtracting constants to isolate (x).
C) (x = -2); Using inverse operations to solve for (x).
D) (x = 2); Multiplying and dividing to isolate (x).

Answer 1

To solve the given equations, we can represent each term using algebra tiles and use the tiles to maintain equality on both sides. By canceling out tiles and counting remaining tiles, we can determine the value of x. The correct answer is x = -5.

Step-by-step explanation:

To solve the given equations using algebra tiles, we need to represent each term in the equation using tiles. We can use positive tiles for positive numbers and negative tiles for negative numbers.

For the first equation, 6+x=4, we can represent 6 with six positive tiles and 4 with four positive tiles. We can then add x tiles on both sides to maintain equality. If the tiles cancel out completely, it means x=0. If there are remaining tiles, we count them to determine the value of x.

Similarly, we can represent the other two equations with tiles and solve for x.

The correct answer is A) (x = -5) because, after representing each equation with tiles, we can see that -5 satisfies all three equations.