Writing Equations and Inequalities Practice

Writing Equations and Inequalities Practice

Multiple Choice

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Multiple Choice

ROMEO IS X YEARS OLD. HIS BROTHER IS TWO TIMES HIS AGE MINUS 2 YEARS. THEIR AGES COMBINED IS EQUAL TO 40 YEARS. WRITE AN EQUATION HE COULD USE TO REPRESENT HIS AND HIS BROTHERS AGE.

• $x-2=40$

• $x\ +\left(2x-2\right)=40$

• $2x-2=40$

• $2x=40-2$

Multiple Choice

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

Multiple Choice

Which situation can be represented by the equation
40x + 20 = 200?

• Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
• Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?  

Multiple Choice

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71
• 71 - 3.5x < 50
• 71 - 3.5x ≤ 50
• 71 + 3.5x < 50

Multiple Choice

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

Multiple Choice

CONNOR PURCHASED SCHOOL SUPPLIES FOR HIS ART CLASS THAT COST $1,175 TO REGISTER. HE PAID $14 FOR EACH COLOR OF PAINT PLUS $55 ON A BRUSH SET. WRITE AN INEQUALITY TO REPRESENT THE TOTAL COST OF THE SUPPLIES SO THAT IT IS LESS THAN THE TOTAL COST OF THE CLASS.

• 
  $14x\ +\ 55\le1,175$

• $55x\ \ +\ 14\ >1,175$

• 
  $14x\ +\ 55\ <1,175$
  

• $55x\ -\ 14\ <1,175$