Unit 7 Test-Solving Equations and Inequalities

Which is a solution of the equation 5(x − 8) + 26 = −9?

• x=3
• x=1
• x= -3
• x= -9.4

Which is a solution of the equation 8x − 9 = −41?

• x=4
• x= -4
• x= -6.25
• x= 6.25

Which is the solution to −48 = −7x − 13?

• x = 5
• x= 9
• x = -5
• x = 20

Which is the solution to 6x -10 = 8?

• x = 1.67
• x = 0.75
• x = 3
• x = -3

Which inverse operations would you use to solve the equation m/5 - 8 = -6 ?

• Add 8 to each side and then divide each side by 5.
• Add 8 to each side and then multiply each side by 5.
• Subtract 8 from each side and then multiply each side by 5.
• Multiply each side by 5 and then add 8 to each side.

What is a number that when you multiply it by 6 and you subtract 4 from the product, you get 50?

• x = 7 
• x = 9
• x = 14
• x = 324

Molly and George earned 352 points together. Molly has half the number of points as George. Which equation could represent this situation? Let g represent the number of points George earned.

• g + 2g = 352
• g + 1/2 g = 352
• (g + g)/2 = 352
• 1/2 g = 352

Francesca bought a dress to wear to a wedding. The sales tax for the dress is 6%. She also paid $35, which was not taxed, to have the dress altered. If Francesca paid the store a total of $126.16, which equation can be solved to determine the price of the dress?

• d + 1.06d + 35 = 126.16
• 1.06(d + 35) = 126.16
• 0.06(d + 35) = 126.16
• d + 0.06d +35 = 126.16

Kelly and Rachel collected 193 pounds of newspaper between them. Kelly collected 35 pounds more than Rachel. How many pounds of newspaper did each girl collect?

• Kelly: 79 pounds; Rachel: 114 pounds
• Kelly: 114 pounds; Rachel: 149 pounds
• Kelly: 114 pounds; Rachel: 79 pounds
• Kelly: 149 pounds; Rachel: 114 pounds

Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread than for the whole grain bread. She spent a total of $11.25 for the 3 loaves. If f represents the price of a loaf of French bread, which equation describes this situation?

• f + f + (f + 2.50) =11.25
• f + 2f + (f + 2.50) = 11.25
• 2f + 2.50 = 11.25
• f + 2f + (2f + 2.50) = 11.25