Literal Equations
2xr = b
Solve for r.
r = b/2x
3x = 2x
x = 0
Two times a number h is the same as seven more than the number h.
2h = h + 7
|d| = 9
d = -9, 9
Jeff's height now is one less than twice his height when he was 2. He is currently 71 inches tall. Write an equation to model this. How tall was he at age 2?
2h - 1 = 71
36 inches
2w + y = 3q
Solve for w.
w = (3q-y)/2
-4x - 6 = 10x + 20
x = -13/7
The product of five and a number z is thirty.
5z = 30
|5f - 3| = 12
f = 3, -9/5
The average number of points a basketball team scored for three games was 63 points. In the first two games, they scored the same number of points, which was 6 more than they scored in the third game. Write an equation to model this situation. How many points were scored in each game?
p + p + (p - 6) / 3 = 63
65, 65, 59
1/2 g - 3 = xy
Solve for g.
g = 2xy + 6
2/3 x + 10 = x - 6
x = 48
The sum of a number g and six is ten.
g + 6 = 10
4 - 3|q| = 10
No Solution
A hardware store sells bags of rock salt that are labeled as weighing 35 pounds. The equipment used to package the salt produces bags with a weight that is within 8 pounds of the label weight. Write an absolute value equation to determine the maximum and minimum weights for the bag of rock salt. Use s as your variable.
|s - 35| = 8
A = 3h(x + y)
Solve for h.
A/3(x+y) = h
-x + 5 = -x + 7
No Solution
Twice the sum of the number h and fourteen is two less than the number h.
2(h +14) = h - 2
|-2y + 6| = 6
y = 0, 6
The maximum speed, in miles per hour, of a cheetah is 18 more than 3 times the maximum speed of a hippopotamus. If the maximum speed of a cheetah is 75 miles per hour, write an equation to model the speed of a hippo. What is the maximum speed of the hippo?
3h +18 = 75
19 miles per hour
Solve for b. V = 1/3 ab
3V/a = b
(-2x+4)/3 = (x-5)/6
x = 13/5
Six less than the sum of a number x and seven is equal to three less than the product of eight and the number x.
(x+7) - 6 = 8x - 3
|7w - 1| + 2 = 15
w = 2, -12/7
A thermometer is accurate to +/- 2 degrees. Write an absolute value equation that can be used to find the greatest and least possible temperatures if the thermometer reading is 17 degrees.
|t - 17| = 2