Karen just put 2.2 liters of fuel into her go-kart. Now, the go-kart has 8.14 liters of fuel.

(a)Let A be the amount of fuel the go-kart had to begin with (in liters). Write an equation that can be used to find A. First choose an appropriate form. Then fill in the blanks with the letter A and the numbers 2.2 and 8.14.

(b)Solve your equation for A to find the amount of fuel the go-kart had to begin with.

(a) The appropriate form of the equation would be:

A + 2.2 = 8.14

(b) To solve the equation for A, we can subtract 2.2 from both sides:
A = 8.14 - 2.2

Simplifying the right side:
A = 5.94

Therefore, the go-kart had 5.94 liters of fuel to begin with.

Michael has made 4 purchases from an online store. At the store, each purchase earns 2.3 points (called reward points).

(a)Let n be the total number of points Michael 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 4 and 2.3.

(b)Solve your equation for n to find the total number of points Michael has earned.

(a) The appropriate form of the equation would be:

n = 4 * 2.3

(b) To solve the equation for n, we multiply 4 by 2.3:
n = 9.2

Therefore, Michael has earned a total of 9.2 points.

At the beginning of a trick, a magician holds up a piece of rope. Then she removes 3.4 meters from one of the ends. The length of the remaining rope is 1.85 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. First choose an appropriate form. Then fill in the blanks with the letter L and the numbers 3.4 and 1.85.

(b)Solve your equation for L to find the length of the rope at the beginning of the trick.

(a) The appropriate form of the equation would be:

L - 3.4 = 1.85

(b) To solve the equation for L, we can add 3.4 to both sides:
L = 1.85 + 3.4

Simplifying the right side:
L = 5.25

Therefore, the length of the rope at the beginning of the trick was 5.25 meters.

Keiko drove her go-kart around a track 3 times. She drove a total of 8.1 kilometers.

(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 8.1.

(b)Solve your equation for d to find the distance around the track.

(a) The appropriate form of the equation would be:

d * 3 = 8.1

(b) To solve the equation for d, we can divide both sides by 3:
d = 8.1 / 3

Simplifying the right side:
d = 2.7

Therefore, the distance around the track is 2.7 kilometers.