Name ______Date ______
Mini-lesson: Writing Inequalities
EQ:
Write an expression:
1)X < 5 ______2) y 0 ______
3) m 9 ______4) m ______
Write an algebraic expression:
6) the number of cans c cases with 24 cans in a case
7) cost of renting a bike for h hours at $25 per hour
8) a number times 6 decreased by ten
Write an inequality:
8) Mike rents a canoe in Rye for $12 per hour, h. He wants to spend no more than $100.
9) When the quotient of a number, n, and 8 is decreased by 5, the answer is greater than 50.
10) Ted earns $125 per day plus $15 for every TV he sells. He wants to earn at least $180 today. How many TVs, c, will he have to sell today?
Write an inequality and solve:
11) Maria wants to bike more than 50 miles. She has already biked 28 miles. If she bikes the same distance each day for 3 days, how many miles, m, will she bike?
12) A sleigh ride costs $35 per hour plus $40. The Wongs have $345 for the ride. How many hours, h, can they ride the sleigh?
13) Hideko is thinking of a number. If she divides the number by 15 and decreases the quotient by 10, the result is less than 20.
Part A
Write an inequality that can be used to find n, the number Hideko could be thinking of.
Part B
Explain how you determined your answer.
Name ______Date ______
Work-time: Translating Inequalities
Write an algebraic expression:
1)The quotient of a number and -2 increased by six
2)The sum of 4 and a number
3)A half of a number decreased by 12
Write an inequality:
4)A number divided by fifteen is more than 47
5)Negative 10 times a number is at least 190
6)Two times a number is less than four.
Write an inequality and solve:
7)Three times a number, minus four, is less than or equal to 17.
8)Rob has $33 to spend at the music store. He will buy a CD for $15 and some cassettes for $4 each. What is the maximum number of cassettes Rob can buy?
9)Aaron and his friends went to Tim Horton’s before school. They spent a maximum of $13.45. They paid $7.50 for juice and $0.35 for each doughnut, d. What was the maximum amount of doughnuts?
10)Gilda spent $11 less than four times the amount that Natasha spent, n, at the mall.
Part A
Write an expression to represent the amount of money Gilda spent at the mall.
Expression______
Part B
How much did Gilda spend at the mall if Natasha spent $65?
Show your work.
Answer ______
Write an inequality for the graph.
11) 12)
Test Prep
13)Which number is not a solution of n – 7 < 1?
a)2b) 4c) 6d) 8