Solving equations and inequalities

A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday. Which inequality represents all possible values of m?

• A) 8 + 4m > 30

• B) 8 + 4m < 30

• C) 8 - 4m > 30

• D) 8 - 4m < 30

A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a total of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

• A) 5p + 75 > 386

• B) 5p + 75 = 386

• C) 75p + 5 > 386

• D) 75p + 5 = 386

Which number line best represents the solution to the inequality -4x + 29 > 19?

• A

• B

• C

• D

Which number line represents the solution to the inequality 3x - 8 >= 7?

• A

• B

• C

• D

Which situation can be represented by this equation? 250 + 65x = 575

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of hours that Jeremy will need to travel at a speed of 65 miles per hour to reach the location?

• Jeremy is traveling to a location that is 575 miles away. He has already traveled 250 miles. What is x, the number of additional miles that Jeremy will need to travel to reach the location?

• Jeremy is reading a book with 575 pages. He has already read 65 pages and will read 250 pages per day. What is x, the number of days that Jeremy will need to read to finish the book?

• Jeremy is reading a book with 575 pages. He has already read 315 pages. What is x, the number of pages Jeremy has left to read to finish the book?

Which value of x is NOT in the solution set of the inequality -5x + 4x + 4 ≤ 12?

• -8

• -9

• -6

• -7

An equation is modeled below. Which value of x makes this equation true?

• 8

• 7/4

• 2

• 8

What is the solution set for this inequality? -5d + 5 1/2 ≤ 17

• A) d ≥ -3 2/10

• B) d ≤ -3 2/10

• C) d ≤ -4 1/2

• D) d ≥ -4 1/2

What is the solution set for the inequality 4 - 5g > 39?

• g > -7

• g < 7

• g > 7

• g< -7

Which equation is true when x = -3?

• 5x + 1 = 16

• 4x - 8 = 12

• 2x + 9 = -12

• 3x - 6 = -15