Question

practice
model and solve each equation using algebra tiles.

1. $3x + 6 = -2x - 4$
2. $-x + 6 = -3x + 2$

solve each equation.

1. $5x + 15 = 75 - 25x$
2. $11.3x + 12.8 = 7.5x + 35.6$
3. $\frac{1}{4}x - 3 = \frac{1}{2}x + 12$
4. $9.6x - 15.4 = -4.3x + 26.3$

Explanation:

Step1: Isolate x terms (Equation1)

$3x + 2x = -4 - 6$

Step2: Simplify and solve for x (Equation1)

$5x = -10 \implies x = \frac{-10}{5} = -2$

Step1: Isolate x terms (Equation2)

$-x + 3x = 2 - 6$

Step2: Simplify and solve for x (Equation2)

$2x = -4 \implies x = \frac{-4}{2} = -2$

Step1: Isolate x terms (Equation3)

$5x + 25x = 75 - 15$

Step2: Simplify and solve for x (Equation3)

$30x = 60 \implies x = \frac{60}{30} = 2$

Step1: Isolate x terms (Equation4)

$11.3x - 7.5x = 35.6 - 12.8$

Step2: Simplify and solve for x (Equation4)

$3.8x = 22.8 \implies x = \frac{22.8}{3.8} = 6$

Step1: Isolate x terms (Equation5)

$\frac{1}{4}x - \frac{1}{2}x = 12 + 3$

Step2: Simplify and solve for x (Equation5)

$-\frac{1}{4}x = 15 \implies x = 15 \times (-4) = -60$

Step1: Isolate x terms (Equation6)

$9.6x + 4.3x = 26.3 + 15.4$

Step2: Simplify and solve for x (Equation6)

$13.9x = 41.7 \implies x = \frac{41.7}{13.9} = 3$

Answer:

1. $x = -2$
2. $x = -2$
3. $x = 2$
4. $x = 6$
5. $x = -60$
6. $x = 3$