Solve algebraically.
5x = 25
x = 5 (show that you divided each side by 5)
Write and solve an equation that shows "the sum of four and a number is twelve."
Let n = a number 4 + n = 12; n = 8
1/2c = 3/4
c = 1 1/2
Solve algebraically.
g/5 = 18 ?
g = 90 (show that you multiplied each side by 5)
Write and solve an equation that shows "the product of six and a number is eighteen."
Let n = a number 6n = 18; n = 3
Solve algebraically.
z + 1.6 = 10.25
z = 8.65 (show that you subtracted 1.6 from each side)
Write and solve an equation that shows "the quotient of a number and three is seven.
Let n = a number n/3 = 7; n = 21
Solve algebraically.
k - 4.2 = 8.14
k = 12.34 (show that you added 4.2 to each side)
David is saving for a new video game console that costs $75. He can save $15 each week. Write and solve an equation to show how many weeks he will need to save before he can buy the video game console. Note: You may not start with the variable alone on one side of the equation.
Let w = the weeks he will need to save 15w = 75; w = 5 He will need to save for five weeks.
Solve algebraically.
x/ 3.9 = 5.2
x = 20.28 (show that you multiplied each side by 3.9)
Write and solve an equation for this following situation. A parking meter had 18 quarters in it by noon. By the end of the day, it had 41 quarters in it. How many quarters were put into the parking meter in the afternoon? Let q = the number of quarters added in the afternoon. (You may not start with the variable alone on one side.)
18 + q = 41 or q + 18 = 41; q =23