Solving Equations
Real-World Equations
Graphing Inequalities
Solving Inequalities
Real-World Inequalities
100

x+3=4

x=1
100

James and Simon have a reading assignment to complete. James has read r pages, and Simon has read 75 pages. Together they have read a total of 200 pages. Write and solve the equation to find out how many pages James read.

r+75=200

x=25

100

Which way does the arrow go when you graph x<5, and is it opened or closed?

Left, opened

100

x+4<8

x<4

100

In order to get a bonus this month, Leon must sell at least 120 newspaper subscriptions. He sold 85 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month? Write and solve the inequality.

85+x>120

x>35

200

5+x=8

x=3

200

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c boxes of candy. For every box they sell, they make $2.50. Write and solve the equation to find out how many boxes they sold.

2.50c=500

c=200

200

Which way does the arrow go when you graph x>5, and is it opened or closed?

Right, Opened

200

x-4<8

x<12

200

Virenas Scout troop is trying to raise at least $900 this spring. How many boxes of cookies must they sell at $4.50 per box in order to reach their goal? Write and solve the inequality.

4.50b>900

b>200

300

2x=8

x=4

300

Ross and Gabby sold boxes of cookies for their soccer team fundraiser. Ross sold b boxes of cookies, and Gabby sold 35 boxes of cookies. Together they sold a total of 69 boxes of cookies. Write and solve the equation to find out how many boxes Ross sold

35+b=69

b=34

300

Which way does the arrow go when you graph x>5, and is it opened or closed?

Right, Closed

300

6+x<10

x<4

300

The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $28? Write and solve the inequality.

3.50j<28

j<8

400

x/4=8

x=32

400

Gustave measured his pace and determined that for him, s steps make up one mile. One day Gustave walked 6300 steps, which was 3 miles. Write and solve the equation to find out how many steps are in each mile.

3s=6300

s=2100

400

Which way does the arrow go when you graph x<5, and is it opened or closed?

Left, Closed
400

x/2>15 

x>30

400

Sam has 3 bottles of water. Together, Sam and Dave have at most 12 bottles of water. Write and solve the inequality to find out how many bottles Dave has.

3+d<12

d<9

500

x-9=15

x=24

500

Amia went to a flower farm and picked f flowers. When she got home, she put the flowers in 4 vases, with 22 flowers in each vase. Write and solve the equation to find out how many flowers she picked form the farm.

f/4=22

f=88

500

Which way does the arrow go when you graph x>-5, and is it opened or closed?

Right, Closed

500

2x>18

x>9

500

Sue went to a strawberry farm and picked s strawberries. When she got home, she put the strawberries in 12 bags, with a maximum 14 in each bag. Write and solve the equation to find out how many strawberries she picked from the farm.

s/12<14

s<168

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