1 Step Equations (Adding And Subtracting)
5x=3
x=-2
(When solving the problem, 5x=3, the correct way to complete it would be using -5 on both sides of the equal sign. Once you complete that the rest should be solving the equation.)
-3x+(-2)=-17
X=5
(Because this is the first 2-step equation the first thing you have to do is, add 2 to both sides of the equals sign, when you do that you subtract both sides by -3 and then you should get your answer of 5.)
X=6
(The answer to this problem would be this because the beginning starts as multiplication. Then you do the opposite and do division. You would do divided by 6 on both sides of the equals sign.)
X=-7
(This would be the anwser because this is now a 2 step equation. Then you would subtract 5 from both sides of the equals sign and then use simple math and addition to do the extra step.)
Problem 1
At an amusement park, Audrey's favorite ride is the roller coaster. There are 10 seats on the roller coaster, each seat can hold the same number of people. A total of 40 people can ride on the roller coaster at one time. Which equation can you use to find the number of people n each car can hold?
10n=40
(2 people)
(This is the answer because you look at the whole word problem and you have to underline the important information then you can answer the problem using easy math)
Y+14=20
Y=6
(The answer to the problem would be 6 because when you subtract the negative from both sides of the equal sign, you end up with an easy equation which would lead you to the answer of Y=6)
2x+5=11
X=3
(Because this is a 2-Step equation you would do 2 steps in order to complete the problem you would have to do two steps. Then you would complete the two steps in order to get your answer)
X/4=-6
X=24
(This answer is 24 because once again the answer starts as division and then moves on to multiplication. This is because in order to solve it you would have to do the operation on both sides of the equal sign.
2X+2=10
X=4
(The answser to this would be 4 because this is a 2 step equation and there are no negatives in the problem so there is no need to solve for any negatives.)
Problem 2:
At the school, Ima and her classmates get to make gingerbread houses. Their teacher gives a bag of licorice ropes evenly among the 8 students at the table. Each student gets 4 licorice ropes to decorate the roof of their gingerbread house.
Which equation can you use to find the number of licorice ropes that came in the bag.
R/8=4
(32 licorice)
(This is the answer because when you underline the answers you get some of the important information throught the problem which makes it easy to solve.)
X-6=17
X=23
(This would be the answer because the main Equation is subtracting so you would add the number to both sides of the equal sign. When that is done, the answer should be X=23, because of simple addition.)
X/4-3=2
X/4=5
(This is aslo a Two-step equation so you would first add 3 to both sides of the equals sign. After that you would do simple math to get your answer of 5)
24=3x
-8=X
(This is the answer because, it is involved with a negative. The answer would be different because, when you divide by both sides of the equal sign you would use 3.
K/2=16
K=32
(The answer to this would be 32 because you would divide 2 from both sides of the equals sign and then do multiplication for the next step. Once you do that you should get your answer of 32.)
When Jake's parents are away, he gets to sleep over for a week at his grandparents' house. Jake makes his grandparents a photo album. There are 9 pages in the album. Jake puts the same number of photos on each page, for a total of 63 photos.
Which equation can you use to find the number of photos p on each page?
9p=63
(7 photos)
(The answer to this would be this because this is a long problem so you could shorten it down. Then you could underline any information and finish the answer by using simple math)
X/9=5
X=31
(The answer would be 31 because when you do one step equations you would only do the equation part one time. When you solve the problem you do times 9 on both sides of the equal sign to get your answer.
X/2+5=11
X=12
(The answer to this would be 12 because this is a 2 step equation wich means you are doing the equation 2 times. When you solve the problem you do the subtraction and then you solve the problem.
X/9=5
X=45
(The answer to this would be be multiplying on both sides, because the answer starts as division. Then when you multiply the numbers you should get the answer.
X/4-3=2
X=20
(This is the problem for step two equations. You can solve this by adding three to both sides of the equals sign and then using simple math to answer the problem.)
Dean signs up for a cake-baking class. To practice, he decorates a batch of cupcakes with flowers. Dean puts 4 sugar flowers on each cupcake. In all, Dean puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Dean decorates?
4c=32
(8 cupcakes)
You can use multiplication to solve the problem. First, if you see the problem you can tell that the answer to this would be 8. That is easy to see because its simple math.)
X-23=8
X=31
(When you solve the problem, you should use addition, you should do it on both sides of the equals sign. After that the answer should be simple addition and when you solve the problem it should be the answer)
2/3X=-50
X=-75
(The answer to this would be a negative because in the equation one of the numbers in a negative. This is because in a two step problem there are two steps that you need to complete.)
-7.2=2.4y
3=y
(This is the answer becasuse the answer because this is the 1-step equation you do the equation on both sides of the equals sign. Then you complete the answer by doing simple adding or subtracting.
3a-8=4
a=4
(The answer to this is 4 because when you add 8 to both sides the answer then becomes easy math. You add 8 because you flip the negative 8 into a positive.)
Debbie is going on vacation and taking her dog Pickles along. Pickles eats 2 cups of dog food each day. Debbie wants to know how many days she can feed Pickles from a 14-cup bag of food.
Which equation can Debbie use to find the number of days?
2d=14
(7 days)
(You can answer the question by doing multiplication. Again this is an easy problem to solve but if you do it the right way, you should end up multiplying both sides by the equals sign to get your answer.)