2.3 Solving equations using the subtraction and addition properties  (Page 5/6)

$x+13=21$

1. ⓐ $x=8$
2. ⓑ $x=34$

$y+18=25$

1. ⓐ $y=7$
2. ⓑ $y=43$

$m-4=13$

1. ⓐ $m=9$
2. ⓑ $m=17$

$n-9=6$

1. ⓐ $n=3$
2. ⓑ $n=15$

$3p+6=15$

1. ⓐ $p=3$
2. ⓑ $p=7$

$8q+4=20$

1. ⓐ $q=2$
2. ⓑ $q=3$

$18d-9=27$

1. ⓐ $d=1$
2. ⓑ $d=2$

$24f-12=60$

1. ⓐ $f=2$
2. ⓑ $f=3$

$8u-4=4u+40$

1. ⓐ $u=3$
2. ⓑ $u=11$

$7v-3=4v+36$

1. ⓐ $v=3$
2. ⓑ $v=11$

$20h-5=15h+35$

1. ⓐ $h=6$
2. ⓑ $h=8$

$18k-3=12k+33$

$k=1$

$k=6$

$a+2=18$

$b+5=13$

$p+18=23$

$q+14=31$

$r+76=100$

$s+62=95$

$16=x+9$

$17=y+6$

$93=p+24$

$116=q+79$

$465=d+398$

$932=c+641$

$y-3=19$

$x-4=12$

$u-6=24$

$v-7=35$

$f-55=123$

$g-39=117$

$19=n-13$

$18=m-15$

$10=p-38$

$18=q-72$

$268=y-199$

$204=z-149$

Five more than $p$ is equal to $21.$

Nine more than $q$ is equal to $40.$

The sum of $r$ and $18$ is $73.$

The sum of $s$ and $13$ is $68.$

$12$ less than $u$ is $89.$

$19$ less than $w$ is $56.$

$325$ less than $c$ gives $799.$

$299$ less than $d$ gives $850.$

Insurance Vince’s car insurance has a $\text{\$500}$ deductible. Find the amount the insurance company will pay, $p,$ for an $\text{\$1800}$ claim by solving the equation $500+p=1800.$

Insurance Marta’s homeowner’s insurance policy has a $\text{\$750}$ deductible. The insurance company paid $\text{\$5800}$ to repair damages caused by a storm. Find the total cost of the storm damage, $d,$ by solving the equation $d-750=5800.$

Sale purchase Arthur bought a suit that was on sale for $\text{\$120}$ off. He paid $\text{\$340}$ for the suit. Find the original price, $p,$ of the suit by solving the equation $p-120=340.$

Sale purchase Rita bought a sofa that was on sale for $\text{\$1299}.$ She paid a total of $\text{\$1409},$ including sales tax. Find the amount of the sales tax, $t,$ by solving the equation $1299+t=1409.$

Is $x=1$ a solution to the equation $8x-2=16-6x?$ How do you know?

Write the equation $y-5=21$ in words. Then make up a word problem for this equation.