Amanda drove her go-kart around a track 3 times. She drove a total of 7.8 kilometers.

Question

(a) Let d be the distance around the track (in kilometers). Write an equation that can be used to find d. First choose an appropriate form. Then fill in the blanks with the letter d and the numbers 3 and 7.8.
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(b) Solve your equation for d to find the distance around the track.

Answer 1

(a) The equation can be written as:
3d = 7.8

(b) To solve for d, divide both sides of the equation by 3:
d = 7.8/3

The distance around the track is approximately 2.6 kilometers.

Answer 2

At the beginning of a trick, a magician holds up a piece of rope. Then she magically makes the rope 3.6 meters longer. The final length of the rope is 8.49 meters.
(a) Let L be the length of the rope at the beginning of the trick (in meters). Write an equation that can be used to find L and the numbers 3.6 and 8.49.
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(b) Solve your equation for L to find the length of the rope at the beginning of the trick.

Answer 3

(a) The equation can be written as:
L + 3.6 = 8.49

(b) To solve for L, subtract 3.6 from both sides of the equation:
L = 8.49 - 3.6

The length of the rope at the beginning of the trick is approximately 4.89 meters.

Answer 4

Deon has made 5 purchases from an online store. At the store, each purchase earns 1.7 points (called reward points).
(a) Let n be the total number of points Deon has earned. Write an equation that can be used to find n. First choose an appropriate form. Then fill in the blanks with the letter n and the numbers 5 and 1.7.
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(b) Solve your equation for n to find the total number of points Deon has earned.

Answer 5

(a) The equation can be written as:
n = 5 * 1.7

(b) To solve for n, multiply 5 by 1.7:
n = 8.5

The total number of points Deon has earned is 8.5.