Scientific Notation & Word Problems w/Equations

Penny charges $5 per hour for babysitting, plus a flat fee of $12 for her travel expenses. Charlene charges $3 per hour for babysitting, plus a flat fee of $18 for her travel expenses. Which equation could be used to determine the number of hours each babysitter must work to earn the same amount?

• 3x+5x=16

• 5x+12=3x+18

• 5x+18=3x+18

• 3x+12=5x+18

Sam and Seth must fill two large bins with grain. Sam's bin has 3.25 pounds of grain, and he uses a bucket to add 5.25 pounds of grain to it at a time. Seth's bin has 10.25 pounds of grain, and he uses a bucket to add 1.75 pounds of grain to it at a time. Sam & Seth want to know how many buckets of grain each one must add before the two bins have the same amount of grain. Which equation could the boys use to find the answer?

• 7x=7

• 3.25+5.25x=10.25+1.75x

• 3.25x+5.25=10.25x+1.75

• 5.25x-3.25=1.75x-10.25

Mr. Morgan wants to paint several rooms in his home. Company A charges a flat fee of $275, plus $50 per room. Company B charges a flat fee of $75, plus $150 per room. Which inequality can be used to determine how many rooms Company B can paint before its charges will be greater than Company A's charges?

• 200x>350

• 150x+75>50x+275

• 275+50x>75+150x

• 275x-50<75x-150

Nancy and Margie are both reading the same book for school. Nancy has read 84 pages of the book and plans to read 12 pages a day until she finishes it. Margie has read 92 pages of the book and plans to read 8 pages a day until she finishes it. Which of the following could be used to find how many more days Nancy must read before she has read more pages of the book than Margie?

• 84+12x=92+8x

• 84+12x>92+8x

• 92+8x>84+12x

• 12x+8x>92-84

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Tags

CCSS.8.EE.A.3

How would you write 0.0005 in scientific notation?

• 50 x 10⁵
• 5 x 10⁴
• 5 x 10³
• .5 x 10³

Tags

CCSS.6.EE.A.1

How would you write -5.6 x 10^-3 in standard form?

• 0.0056
• -5,600
• 0.00056
• -0.0056

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.4

CCSS.6.NS.C.5

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

• True
• False

Tags

CCSS.8.EE.A.3

Scientific Notation is made up of two number parts. The second part is a power of base 10.

• True
• False

Tags

CCSS.6.EE.A.1

How do you write
1001
in scientific notation?

• 1.0001 x 10⁴
• 1.01 x 10⁵
• 1.001 x 10³
• 10.1 x 10³

Tags

CCSS.6.EE.A.1