Math 7 Unit 4 Review

Solve the inequality and determine which values of n below are solutions and which are not. 

8n + 4 < 68

​ Solutions: ​ ​ (a)       ​ (b)        ​ (c)          

Not Solution: ​ (d)   ​ (e)  

• 7.9
• 8
• -8
• 9
• 0

Lucy paid $64 for the supplies she would use to make beaded bracelets. She plans to sell the bracelets for $8 each. Ginger can use the inequality ​ (a)   below to determine b, the number of bracelets she needs to sell in order to make a profit of at least $120.

Lucy needs to sell ​ (b)   to make a profit of $120

• 8b + 64 ≥ 120
• at least 7 bracelets
• 120 + 64b ≥ 120
• at most 7 bracelets

The inequality 2c+ 4 < 12 represents the amount of money a student can spend on c candy bars. Solve the inequality and graph your solution on the number line.

Emma is selling cupcakes for a fundraiser. In order to pay expenses, she must sell enough to satisfy the inequality 4c+ 128 ≥ 240 where c represents the total number of cupcakes sold. How many cupcakes must Emma sell to pay her expenses?

• 8 cupcakes

• 28 cupcakes

• 16 cupcakes

• 18 cupcakes

Look at the graphed the inequality on the number line.​ Which inequality is represented by that solution? ​ (a)  

• -10 ≥ 3x + 14
• 3x -14 ≥ 10
• 10 ≤ 3x - 14
• 10 ≥ 3x + 14

A student rode a bicycle fewer than 58 miles during a period of 5 days. The student rode 8 miles on Monday and "x" miles each day from Tuesday through Friday. Write an inequality that represents all possible values of x.

Mathematical Equivalence

ON

Which situation can be represented by this inequality?   1.25x-6.50>50

• Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

What is the solution set of the inequality in the picture?

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What is the solution set of the following inequality?     -2x + 4x + 4 > -14

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