Question

work with a partner. use algebra tiles to model and solve the equation.
a. $-5 = n + 2$
b. $y + 10 = -5$
c. $7 + b = -1$
d. $8 = 12 + z$
activity: writing and solving equations
work with a partner. write an equation shown by the algebra tiles. then solve.
a. b.
c. d.
big ideas math red
record and practice journal

Explanation:

Step1: Solve equation a: $-5 = n + 2$

Subtract 2 from both sides: $-5-2=n + 2-2$.
So, $n=-7$.

Step2: Solve equation b: $y + 10=-5$

Subtract 10 from both sides: $y+10 - 10=-5-10$.
So, $y=-15$.

Step3: Solve equation c: $7 + b=-1$

Subtract 7 from both sides: $7 + b-7=-1-7$.
So, $b=-8$.

Step4: Solve equation d: $8 = 12+z$

Subtract 12 from both sides: $8-12=12+z - 12$.
So, $z=-4$.

Answer:

a. $n = - 7$
b. $y=-15$
c. $b=-8$
d. $z=-4$