Algebraic Equations
Writing Equations
Inequalities
Writing Inequalities
Random
100
Determine whether r = 4 is a solution to the equation.
r + 3/4 = 19/4
16/4 + 3/4 = 19/4
Yes, it is a solution.
100
Write an equation for the following.
Sammy had some candy. She gave 13 pieces away and then had 23 pieces. How much candy did she start with?
x - 13 = 23
100
Between what two numbers is -1.5?
-1 and -2
100
Write an inequality for:
I have more than 16 pieces of candy.
x > 16
100
Sandy's hair is 4 inches long. Her hair grows 1.5 inch per month. Sandy wants her hair to be less than 16 inches long.
Write an inequality (and solve!) to determine the number of months, m, Sandy can allow her hair to grow so that it is less than 16 inches long.
4 + 1.5m < 16
m < 8
200
Determine whether m = 2/5 is a solution to the equation.
15m = 6
(15)(2/5) = 6
Yes, it is a solution.
200
Write an equation for the following:
Lou read five times amount of books this year than last year. This year she read 25 books. How many did she read last year?
5x = 25
200
When x = 4, is 4x + 6 greater than, less than, or equal to 23?
<
200
Write the inequality for the following:
x ≤ 2.5
200
Anne earned $3 an hour baby-sitting, and $4 an hour working in the garden. Last week she did baby-sitting for 5 hours and garden work for 3 hours. How much more money does she need to buy a game that costs $35?
$8
300
Solve the equation.
x/4 = 11.2
11.2 x 4 = 44.8
x = 44.8
300
Write an equation for the following:
A pond holds 2 times as much water as a pool. If the pond holds 20 gallons more than pool, how much water does the pool hold?
2x = x + 20
300
Fill in the blank with <, >, or =
When d = 6.
2d + 10 _____ 4d - 3
>
300
Suzy gets $15 for showing up to work and then $15 per hour each hour she stays. Write an inequality to show how many hours Suzy needs to work to earn at least $135 in a day.
15 + 15x ≥ 135
300
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
At least 12 more sessions
x ≥ 12
400
A club knits caps for a charity. They knitted 26 more caps in August than they did in September. If the club knitted a total of 250 caps in August and September, how many caps did they knit in August?
138
400
Write an equation to represent the following:
For a race, a sponsor committed to a flat fee of $5, plus $2 per mile ran. The runner collected $29. How many miles did she run?
5 + 2x = 29
400
Which two graphs include a solution of 5.
Graph 2 and Graph 4.
400
Write an inequality:
To go on the ferris wheel, you need to be at least 4 feet tall, but can't be taller than 6 feet tall.
4 
x 6
400
Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?
At least 15 times
x ≥ 15
500
Three boys want to buy a present for their friend. The present costs $120. Peter and Andrea have $70 altogether. Andrea and Russell have $80 altogether. Peter and Russell have $90 altogether. How much money does each person have? Do they have enough money to buy their present?
Andrea: $30
Peter: $40
Russell: $50
Yes, they have enough money.
500
Write an equation to solve.
Sam is twice as old as Billy. Billy is one more than half as old as Lucy. The sum of Lucy, Billy, and Sam's age is 28.
Lucy = x, Billy = x/2 +1, Sam = 2(x/2 + 1)
2(x/2 + 1) + (x/2 + 1) + x = 28
500
You are going on a field trip and and need to choose where to go. The zoo costs a $100 fee, plus $10 per student. The museum costs a $250 fee, plus $5 per student. How many students need to go on the trip in order to make the museum a better deal? (Write your answer as an inequality).
x > 30
So, at least 31 students need to go to make the museum a better deal.
500
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?
A) Write an inequality that represents Daniel’s situation. B) How many rides can Daniel go on?. Justify your answer.
4 + 1.50x ≤ 25
Daniel can go on 14 rides.
500
Solve the inequality:
-4(4 + 7x) + x ≥ -6x + 5
x ≤ -1