2.1 Translating Between Words and Algebraic Symbol

1. Three times r less than 15 equals 6.

• 3r - 15 = 6
• 15 - 3r = 6

3. A number n squared plus 12 is the same as the quotient of p and 4.

• n² + 12 = 4p
• n² + 12 = 4/p
• n² + 12 = p/4

Tags

CCSS.HSA.CED.A.4

5. The sum of 8 and three times k equals the difference of 5 times k and 3.

• 8 + 3k = 5k - 3
• 8 - 3k = 5k + 3
• 8*3k = 5k - 3

7. The quotient of 25 and t plus 6 is the same as twice t plus 1.

• 25t + 6 = 2t + 1
• 25/t + 6 = 2t + 1
• 25/t + 6 = t* t + 1

Tags

CCSS.HSA.REI.A.2

9. There is $2000 in Trent's bank account. He wishes to increase his account to a total of $3000 by depositing $40 per week from his paycheck.

• 2000 + 40x = 3000
• 3000 + 40x = 2000
• 2000x + 40 = 3000
• 3000x + 40 = 2000

Tags

CCSS.HSA.CED.A.3

11. The perimeter of a regular pentagon is 5 times the length of each side. 

• P = 5 + s
• P = 5s

Tags

CCSS.HSA.REI.B.3

13. Four times π times the radius squared is the surface area of a sphere.

• 4πr = S
• 4πr² = S

Tags

CCSS.6.EE.B.7

15. 7m - q = 23

• Seven more than m minus q is 23
• q less than the product of 7 and m is 23
• The sum of 7 times m and q is 23

3(q+18) = 4h- 10          

• 3 times the sum of q and 18 is 4h less than 10
• 3 times the quantity of q plus 18 is equal to ten less than the product of 4 and h. 

Tags

CCSS.6.EE.C.9

21. The difference of f and five times g is the same as 25 minus f.

• f + 5g = 25 - f
• f-5g = 25 - f

Tags

CCSS.HSA.CED.A.3