Solve with Addition/Subtraction
Solve with Multiplication/Division
Inequalities
Word Problems
Truth and Solutions
100
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
13=y-4
y=17
100
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
4x = 20
Final answer:
x=5
100
If x=2, is the inequality x≥1 true or false? Why or why not?
True. This is because 2 is greater than 1.
100
Bella scored p number of points the first round. She also scored 8 points in the second round. This made her total score 39.
1. Write an equation with the variable p that represents this scenario.
2. Then, find the number of points Bella scored the first round.
p+8=39
p=31 points
100
Is x=3 a solution to x+4=-7? Why or why not?
Yes. This is because -11 +4=-7.
200
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
r + 3.4 = 13.1
r=9.7
200
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
x/3 = 21
x=63
200
Does this represent x>12? Why or why not?
No. x should be bigger than 12, so everything to the right of the 12 should be shaded instead.
200
Juan sells raffle tickets at a charity event for $6 each. How many tickets does he have to sell to make $114?
1. Write an equation with the variable "t" that represents this scenario.
2. Then, find the number of tickets sold.
equation:
6*t = 114
or
114/6 = t
Juan has to sell 19 tickets.
200
Is a=70 a solution to a+25=92? Why or why not?
No. This is because 70+25=95≠92
300
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
w/4 - 13 = 3
w=64
300
Copy down this equation, then solve the equation. Show your steps to justify how you know your answer is correct.
5x + 1 = 121
x=24
300
Write an inequality that is represented by this number line.
x<34.5
300
A birthday party at the skating rink costs $60 to reserve a party area and $2.50 per guest for skating and skate rental. In total, the party cost $160.
1. Write an equation to represent the situation.
2. How many guests came to the party?
2.50g + 60 = 160
g=40
There were 40 guests at the party.
300
Is w=13 a solution to w≤13? Why or why not?
Yes. This is because 13 is equal to 13, which makes 13≤13 true
400
Copy down this equation, then solve it. Show your steps to justify how you know your answer is correct.
-3x - 71 = 10
x = -27
400
84+12x=156
x=6
400
Copy this number line and graph the inequality:
x≥1.75
400
In a small town, there are two main sections called the Hill Section and the Lake Section. The town has a population of 4298. The number of people who live in the Hill Section is 188 more than twice the number of people who live in the Lake Section.
1. Draw a model and write an equation that represents the situation.
2. How many people live in Lake Section? How many people live in Hill Section?
Let p represent the population of the Lake Section.
3p + 188 = 4298
p = 1370
The population of the Lake Section is 1370, and the population of the Hill Section is 2928.
400
Is x=5 a solution to
3 - x/5 = 4
No. (you must explain your answer for credit!)
500
7=(6x-16)/-10
x=-9
500
-17x - 248 + 8x = 202 + x
x=45
500
Write an inequality and graph the inequality on the number line.
The minimum cost for a movie ticket is $5.
x≥5
500
The members of the student council are selling raffle tickets. The school decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive $8 more than the third-place seller. The first-place seller will receive twice as much as the second-place seller. The profit portion they will share is $104.
1. Draw a model and write an equation that represents the situation.
2. How much will each of the top three sellers receive?
Let t represent the amount the third-place seller will receive.
4t + 24 = 104
t = 20
The third-place seller will receive $20, the second-place seller will receive $28, and the first-place seller will receive $56.
500
Is x=5 a solution to 7+4x=13+3x ? Why or why not?
No. (you must explain your answer for credit)