Distributive Property
Solving Equations
Literal Equations
Equation Word Problems
100

4 ( z − 4 ) = 20

Round to nearest tenth if Decimal

z = 9

100

8x + 20 = 5x - 10 

Solve for x

Round to Nearest Tenth if Decimal

x = -10

100

x + r + c= f

please solve for c

c= -x - r + f

100

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. Given equation (5.27 = 3.40 + 0.85t) Determine how many pounds of tomatoes she bought.

Please round answer to nearest tenth if decimal.


Carina bought  2.2  or  11/5  pounds of tomatoes

200

−2 ( 4 + 6x ) − 8x = 12  

Round to nearest tenth if Decimal

x = -1

200

7x - 24 = 3x + 58

Solve for x

Round to Nearest Tenth if Decimal

x  =  41/2  or  20.5


200

x - 4= r + t

solve for x

x= 4 + r + t

200

7) Kevin currently has 𝑥 bottles of water. He determines that buying 12 more bottles of water will give him the same number of bottles of water as if he bought 2 more and then doubled the amount of bottles of water he has. The equation, 𝑥+12=2(𝑥+2), represents this situation. How many bottles of water does Kevin currently have?

Kevin currently has 8 bottles of water

300

3 ( 2m − 1 ) = −2 ( m + 1 )

Round to nearest hundredth if Decimal

m = 1/8 or 0.13

300

12x - 12 = -24x - 48 

Solve for x

Round to Nearest Tenth if Decimal

x = -1

300
a - r + d - f = c


solve for r 

r =  a + d - f -c

300

10. The International Business Club starts the school year with $395.50 in their account. They spend $65 each month on activities. The Future Agricultural Leaders Club starts with $500 and spends $52.25 each month. After how many months will both accounts have the same amount of money?

Round to the Nearest Tenth if a decimal

8.2 Months for both clubs to have the same amount of money


400

16 = 10 + ( n + 12 )

Round to nearest tenth if Decimal

n = -6

400

11x - 7 = -12x + 8 - 4x

Solve for x

Round to Nearest Tenth if Decimal

x = 23/27 or 0.9


400

g - f + s - r= f + r + s

solve for g

g = 2f +2r

400

11. Two runners are saving money to attend a marathon. The first runner has $182.50 in savings, received a $55 gift from a friend, and will save $40 each month. The second runner has $95.50 in savings and will save $75 each month.

After how many months will the runners have the same amount of money?  

Round answer to nearest tenth if decimal

The two runners will take 4.1 Months to have the same amount of money.


500

3y + 2 ( 2y − 5 ) = 75

Round to nearest tenth if Decimal 

y = 12.1 or 85/7

500

-17x + 3 - 5 - 4x = 13x + x - 25 + 7 - 8x

Solve for x

Round to Nearest Tenth if Decimal

x = 16/27 or 0.6


500
s = g + f + f + wd


solve for w

w= s - g - 2f all divided by d

500

The levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.55 parts per billion (ppb) and is rising at a rate of 0.3 ppb each year. In the second body of water the initial measure is 0.8 ppb and the rate of increase is 0.07 ppb each year.

Solve the equation that can be used to find how many years it will take both bodies of water have the same amount of mercury?

Round to nearest Hundredth of decimal

Its going to take 1.09 years for both bodies of water to have the same amount of mercury.


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