Multi Step Equations

Which equation represents the verbal phrase below? The difference of a number and 7 is 10

• 7 ÷ n = 10

• 7 − n = 10

• n - 7 = 10

Mrs. Ptak's class is going on a field trip to the museum. The trip costs $36.50 per student. The cost includes $9.50 for a special exhibit, one entrance ticket, and one gift shop voucher. The gift shop voucher is good for 50% of the cost of the entrance ticket. Which equation would help us find the cost of the entrance ticket?

• 9.5 - 0.5x = 36.50

• 9.5 - 1.5x = 36.50

• 9.5 + 1.5x = 36.50

• 9.5 + 0.5x = 36.50

What equation matches this situation: What number do you divide by 9 to get 8?

• 9 + n = 8

• 9 - n = 8

• 9n = 8

• n/9=8

The combined ages of the 7th grade class is 1,582.  The combined ages of the 8th grade class is 34 more than the 7th grade.  Which equation can help you find the combined ages of the 8th grade class?

• 1,582 + 34 = h

• h = 1,582 - 34

• 1,582 - h = 34

• 34 = h + 1,582

Which equation represents this tape diagram?

• 3 - x = 44

• 3 + x = 44

• 4(3 + x) = 44

• 3(3 + x) = 44

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

• j + 26 = 47

• 26j = 47

• j - 26 = 47

• 47j = 26

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

• 1/2d + 27 

• d + 27 = 58

• 1/2d + 27 = 58

• 1/2d - 27 = 58

Bonnie spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?  (Define 'n' and write the equation.) 

• n=wkly allowance; 2n-4=12

• n=wkly allowance; 2n+4=12

• n=wkly allowance; n/2-4=12

• n=wkly allowance; n/2+4=12

three times a number n decreased by 2 is 17

• 2n-3=17

• 2n+3=17

• 3n-2=17

• 3(n-2)=17

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check