Algebraic Equations
Identify the solution of each equation from the list given.
a+15=23; 6, 7, 8
What is 8?
Solve.
3 + f = 8
f = 5
Solve
a - 25 = 52
a = 77
Solve.
4a=52
a = 13
Solve.
a/4=9
a = 36
Identify the solution of each equation from the list given.
s/12=4 ; 36, 48, 3, 4
What is 48?
Solve.
32.14 + t = 58.1
t = 25.96
Solve.
t - 22.24 = 61.28
t = 83.52
Solve.
5.16b= 15.48
b = 3
Solve.
c/0.2 = 7
c = 1.4
Gabriella made 36 cookies. She gave 28 of them away. Use the equation 28 + c = 36 to find c, the number of cookies she kept.
What is 8 cookies?
1/4 + w = 7/8
w = 5/8
Solve
h - 5/8 = 4/5
h = 1 17/40
Solve.
1/3c=6
c=18
Solve.
d/12 = 0.25
d = 3
A bottlenose dolphin is 96 inches long. There are 12 inches in one foot. Use the equation 12d = 96 to find d, the length of the dolphin in feet.
What is 8 feet?
Ellie is 67 inches tall, which is 5 inches taller than her friend, Danny. Write and solve an addition equation to find Danny's height.
Equation: d + 5 = 67
Solution: d= 62 inches
For two days in a row, Winston rescued tadpoles from a puddle. He rescued 54 on Friday. This is 17 less than the number he rescued on Saturday. Write and solve a subtraction equation to find how many tadpoles he rescued on Saturday.
Solution: t = 71 tadpoles
A grocery store is selling 6 cans of cat food for $3. Write and solve a multiplication equation to find the cost of a can of cat food.
Equation: 6c=3
Solution: c = $0.50
One third of a bird's eggs hatched. If two eggs have hatched, how many eggs did the bird lay? Write and solve a division equation to solve this problem.
Solution: e = 6 eggs
What is the difference between an algebraic expression and an algebraic equation?
Explain using words, then give an example of each.
What is there is an equals sign in an equation, so there is only one correct solution for the variable.
Equation: a + 2 = 10
Expression: a + 2
Some retail stores recently met to share their monthly earnings. Sunny Spot’s earnings were $52,800.53. Sunny Spot made $8,329.24 more than that of Silver Sky. Write and solve an addition equation to find Silver Sky’s earnings.
Equation: e + 8329.24 = 52,800.53
Solution: e = $44,471.29
At a movie, Angelo bough a medium popcorn for $4.50, a small drink for $3.25, and a box of candy for $2.50. Write and solve a subtraction equation to find how much money Angelo gave the cashier if he received $3 in change.
Equation: x - 10.25 = 3
Solution: x = $13.25
The Russian ice breaker Yamal can move forward through 2.3-meter-thick ice at a speed of 5.5 kilometers per hour. Write and solve a multiplication equation to find the number of hours it will take to travel 82.5 kilometers through the ice.
Equation: 5.5h=82.5
Solution: h = 15 hours
Write and solve a division equation for this problem:
A model plane is 1/48 the size of the actual plane. If the model plane is 28 inches long, how long is the actual plane?
Equation: p/48=28
Solution: p = 1344 inches