Solving Equations and Inequalities Review - Grade 7

• Add 8 to both sides of the equation, and then multiply both sides of the equation by 5.

• Subtract 8 from both sides of the equation, and then multiply both sides of the equation by 5.

• Add 8 to both sides of the equation, and then divide both sides of the equation by 5.

• Subtract 8 from both sides of the equation, and then divide both sides of the equation by 5.

Nizar buys one cake for  $2.30 and mini-bagels for $0.95 each. He spends a total of  $16.55.  Assume there is no sales tax where Nizar lives.

(BEFORE you click on your answer, write the equation in your notebook because you will need it for the next question.)

 Part A:     Which equation represents the situation?

• 2.30c + 0.95 = 16.55, where c  represents the number of cakes.

• 2.30m + 0.95 = 16.55, where  m represents the number of mini-bagels.

• 0.95m + 2.30 = 16.55, where m   represents the number of mini-bagels.

• 0.95c + 2.30 = 16.55, where  c represents the number of cakes.

Solve the equation you chose from question #2 and then select the statement that represents the solution to the equation.

• Nizar bought 15 cakes.

• Nizar bought 15 mini-bagels.

• Nizar bought 6 cakes.

• Nizar bought 6 mini-bagels.

. Orlianys bought 14 pencils that each cost the same amount and a sharpener that cost $8.50. The items she bought cost a total of $20.54 before tax was added. 

Which equation would help you find p, the cost of each pencil?

(BEFORE you click on your answer, write the equation in your notebook because you will need it for the next problem.)

• 14p + 8.50 = 20.54

• 8.50p + 14 = 20.54

• 20.54p + 8.50 = 14

Using your equation from the previous question, solve it to find the cost of each pencil.

• Each pencil cost $0.76

• Each pencil cost $0.14

• Each pencil cost $0.86

• Each pencil cost $2.07

Your middle school is having an international dessert tasting. Admission into the dessert tasting is $5, and each dessert you purchase costs $0.30.

 Part A:     Which inequality represents the possible number of desserts, d , that can be purchased with $8 ? (BEFORE you click on your answer, copy the inequality in your notebook because you will need to use it for the next question.)

Solve the inequality you chose from the previous problem and then choose the one answer that best explains the amount of desserts you can purchase.

• You can purchase at least 10 desserts.

• You can purchase at most 5 desserts.

• You can purchase at most 10 desserts.

• You can purchase exactly 5 desserts.

• You can purchase exactly 10 desserts.

Jahmeer went to a carnival with $ 18.50 to spend. He paid an entrance fee of $3.50 and paid $1.25 for each ride.

 Create an inequality that could be used to find r, the greatest number of rides that Jahmeer could go on.