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What is the final elevation if
A bird starts at 20 m and changes 16 m?
A butterfly starts at 20 m and changes -16 m?
A diver starts at 5 m and changes -16 m?
A whale starts at -9 m and changes 11 m?
A fish starts at -9 meters and changes -11 meters?
One of the particles in an atom is called an electron. It has a charge of -1. Another particle in an atom is a proton. It has a charge of +1.
The charge of an atom is the sum of the charges of the electrons and the protons. A carbon atom has an overall charge of 0, because it has 6 electrons and 6 protons and \(\text- 6 + 6 = 0\).
Find the overall charge for the rest of the elements on the list.
| charge from electrons |
charge from protons |
overall charge |
|
|---|---|---|---|
| carbon | -6 | +6 | 0 |
| neon | -10 | +10 | |
| oxide | -10 | +8 | |
| copper | -27 | +29 | |
| tin | -50 | +50 |
Find the value of each expression.
Last week, the price, in dollars, of a gallon of gasoline was \(g\). This week, the price of gasoline per gallon increased by 5%. Which expressions represent this week’s price, in dollars, of a gallon of gasoline? Select all that apply.
\(g + 0.05\)
\(g + 0.05g\)
\(1.05g\)
\(0.05g\)
\((1+0.05)g\)
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
Annie’s Attic is giving away $5-off coupons.
| original price | sale price |
|---|---|
| \$15 | \$10 |
| \$25 | \$20 |
| \$35 | \$30 |
Bettie’s Boutique is having a 20%-off sale.
| original price | sale price |
|---|---|
| \$15 | \$12 |
| \$25 | \$20 |
| \$35 | \$28 |
Match each written statement with a mathematical statement. All of these statements are true.
The number -15 is farther away from 0 on the number line than the number -12 is.
The number -12 is a distance of 12 units away from 0 on the number line.
The distance between -12 and 0 on the number line is greater than -15.
The numbers 12 and -12 are the same distance away from 0 on the number line.
The number -15 is less than the number -12.
The number 12 is greater than the number -12.
\(|\text-12| > \text-15\)
\(\text-15 < \text-12\)
\(|\text-15| > |\text-12|\)
\(|\text-12| = 12\)
\(12 > \text-12\)
\(|12| = |\text-12|\)