Equations
Inequalities and More Equations
Scientific and Standard Notation
100
The model represents and equation. What is the equation?
-6x+3=3x-2
100
Sam and and Sue both stopped for gas on the way to practice.
- Sam paid $2.68 per gallon and went in for snacks that cost him $4.76.
- Sue paid $2.85 per gallon and did not have time to get any snacks.
How many gallons of gas, g, would they have to buy in order for Sue to spend more than Sam?
Write the inequality.
2.68g + 4.76 < 2.85g
100
What is 1,500 in Scientific Notation?
1.5x103
200
What value of x makes the following equation true? -6x+3=3x-2
5/9
200
Solve: 4x+5=2x-27
-16
200
What is 2x103
in standard notation?
2,000
300
What value of x makes the equation true?
0.1x-1=0.05x-0.7
6
300
169 = x2
What value of x makes the equation true?
13
300
What is 0.000056 in Scientific Notation?
5.6x105
400
What value of j makes the equation true?
5j+9=3(4j-4)
3
400
Mrs. Durham purchases turkey from the deli counter for $3.25 per pound. She also purchases a loaf of bread from the bakery for $4.50.
Write an equation that represents the total cost, c, of the shopping trip.
c=$3.25p+$4.50
400
What is 5.73x105 in Standard Notation?
0.0000573
500
Asa owns a Tesla that has enough charge to drive 87 miles. For every minute that he charges the Tesla it will drive 14 more miles. Alicia owns a Nissan Leaf that has a charge of 150 miles and charges at 7 miles per minute. How many minutes do they both need to charge for them to have the same number of miles that they can drive?
9
500
An equation is two expressions set to zero. True or false?
True.
500
A scientist is studying the complexity of cells and determines that a single cell contains approximately 1x1014 atoms. How would this number be written in Standard Notation?
100,000,000,000,000