8.1 Solve equations using the subtraction and addition properties  (Page 5/6)

$x+7=12$

$y+5=\mathrm{-6}$

$b+\frac{1}{4}=\frac{3}{4}$

$a+\frac{2}{5}=\frac{4}{5}$

$p+2.4=\mathrm{-9.3}$

$m+7.9=11.6$

$a-3=7$

$m-8=\mathrm{-20}$

$x-\frac{1}{3}=2$

$x-\frac{1}{5}=4$

$y-3.8=10$

$y-7.2=5$

$x-15=\mathrm{-42}$

$z+5.2=\mathrm{-8.5}$

$q+\frac{3}{4}=\frac{1}{2}$

$p-\frac{2}{5}=\frac{2}{3}$

$y-\frac{3}{4}=\frac{3}{5}$

$c+3-10=18$

$m+6-8=15$

$9x+5-8x+14=20$

$6x+8-5x+16=32$

$\mathrm{-6}x-11+7x-5=\mathrm{-16}$

$\mathrm{-8}n-17+9n-4=\mathrm{-41}$

$3(y-5)-2y=\mathrm{-7}$

$4(y-2)-3y=\mathrm{-6}$

$8(u+1.5)-7u=4.9$

$5(w+2.2)-4w=9.3$

$\mathrm{-5}(y-2)+6y=\mathrm{-7}+4$

$\mathrm{-8}(x-1)+9x=\mathrm{-3}+9$

$3(5n-1)-14n+9=1-2$

$2(8m+3)-15m-4=3-5$

$-(j+2)+2j-1=5$

$-(k+7)+2k+8=7$

$6a-5(a-2)+9=\mathrm{-11}$

$8c-7(c-3)+4=\mathrm{-16}$

$8(4x+5)-5(6x)-x=53$

$6(9y-1)-10(5y)-3y=22$

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

The sum of $x$ and $\mathrm{-5}$ is $33.$

Ten less than $m$ is $\mathrm{-14}.$

Three less than $y$ is $\mathrm{-19}.$

The sum of $y$ and $\mathrm{-3}$ is $40.$

Eight more than $p$ is equal to $52.$

The difference of $9x$ and $8x$ is $17.$

The difference of $5c$ and $4c$ is $60.$

The difference of $n$ and $\frac{1}{6}$ is $\frac{1}{2}.$

The difference of $f$ and $\frac{1}{3}$ is $\frac{1}{12}.$

The sum of $\mathrm{-4}n$ and $5n$ is $\mathrm{-32}.$

The sum of $\mathrm{-9}m$ and $10m$ is $\mathrm{-25}.$

Pilar drove from home to school and then to her aunt’s house, a total of $18$ miles. The distance from Pilar’s house to school is $7$ miles. What is the distance from school to her aunt’s house?

Jeff read a total of $54$ pages in his English and Psychology textbooks. He read $41$ pages in his English textbook. How many pages did he read in his Psychology textbook?

Pablo’s father is $3$ years older than his mother. Pablo’s mother is $42$ years old. How old is his father?

Eva’s daughter is $5$ years younger than her son. Eva’s son is $12$ years old. How old is her daughter?

Allie weighs $8$ pounds less than her twin sister Lorrie. Allie weighs $124$ pounds. How much does Lorrie weigh?

For a family birthday dinner, Celeste bought a turkey that weighed $5$ pounds less than the one she bought for Thanksgiving. The birthday dinner turkey weighed $16$ pounds. How much did the Thanksgiving turkey weigh?

The nurse reported that Tricia’s daughter had gained $4.2$ pounds since her last checkup and now weighs $31.6$ pounds. How much did Tricia’s daughter weigh at her last checkup?

Connor’s temperature was $0.7$ degrees higher this morning than it had been last night. His temperature this morning was $101.2$ degrees. What was his temperature last night?

Melissa’s math book cost $\text{\$22.85}$ less than her art book cost. Her math book cost $\text{\$93.75}.$ How much did her art book cost?

Ron’s paycheck this week was $\text{\$17.43}$ less than his paycheck last week. His paycheck this week was $\text{\$103.76}.$ How much was Ron’s paycheck last week?

Baking Kelsey needs $\frac{2}{3}$ cup of sugar for the cookie recipe she wants to make. She only has $\frac{1}{4}$ cup of sugar and will borrow the rest from her neighbor. Let $s$ equal the amount of sugar she will borrow. Solve the equation $\frac{1}{4}+s=\frac{2}{3}$ to find the amount of sugar she should ask to borrow.

Construction Miguel wants to drill a hole for a $\frac{5}{\text{8}}\text{-inch}$ screw. The screw should be $\frac{1}{12}$ inch larger than the hole. Let $d$ equal the size of the hole he should drill. Solve the equation $d+\frac{1}{12}=\frac{5}{8}$ to see what size the hole should be.

Is $\mathrm{-18}$ a solution to the equation $3x=16-5x?$ How do you know?

Write a word sentence that translates the equation $y-18=41$ and then make up an application that uses this equation in its solution.