Word Problems/Equations
#1
#1
Solve for a
7.2 = 0.9a
What is 8?
Name this property & simplify.
5(3x + 2)
What is 15x + 10?
A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x dollars and 20x = 1,000.20. Which operation does the grandson need to use to find how much money they can spend?
What is Division?
Teacher will display Error Analysis Question #1 from Template
The error in this solution is 200 was divided from both sides of the equation. In order to isolate the variable, 8 needs to be divided from both sides.
A person needs to work 25 hours.
A symbol for a number we don't know yet. Usually a letter like x or y.
What is a VARIABLE?
x + 1.2 = 4.6
What is 3.4?
Simplify
4(7v + 3m)
What is 28v + 12m?
Nick wants to buy a skateboard that costs $85. He has already saved $15. Which equation represents the amount of money Nick still needs to buy the skateboard?
A. t - 15 = 85
B. t + 15 = 85
C. 15 - t = 85
D. t = 15 + 85
What is
B. t + 15 = 85
Teacher will display Error Analysis Question #2 from Template
The error in this solution is 112 was subtracted from one side of the equation and added to the other side.
Rick has 113.5 minutes.
Operations that undo each other: addition and subtraction, or multiplication and division. (two words)
What is an INVERSE or OPPOSITE OPERATION?
Bella Brought stickers to give to 12 of her friends. Each friend received 4 stickers. How many stickers did she bring to school?
Let "s" represent the number of stickers brought to school.
Write the equation & show your work to solve for s.
What is
s/4=12
s=48; She brought 48 stickers to school
Write 8^4 in expanded form and solve.
What is
8 x 8 x 8 x 8 = 4,096
The Walter's traveled 182 miles in 3 1/2 hours. The equation 3.5m = 182 can be used to find their mean rate of travel. What is the value of m?
A. 60
B. 52
C. 50
D. 48
What is
B. 52
182 divided by 3.5 = 52
Teacher will display Error Analysis Question #3 from Template
The error in this solution is 30.45 was subtracted from both sides of the equation. The inverse operation for the given equation is addition.
The skateboard cost $113.75.
What are the steps for solving subtraction equations?
What is
1. Identify the variable and operation
2. Apply the inverse operation (addition) to both sides
5. Solve.
Lara and Mae participated in a quiz contest. They scored 23 points in all. If Lara scored 9 points, how many points did Mae score?
Let "p" represent the number of points scored.
Write the equation & show your work to solve for p.
What is
p + 9 = 23; p= 14 points
26+2x4/4+4x6-18
What is 40?
What is the first step to solve the equation?
Solve for x.
3/5 x = 9
What is
Multiply by the reciprocal of 3/5 or multiply both sides by 5/3.
Teacher will display Error Analysis Question #4 from Template
An incorrect equation is written. 12 should be subtracted from the number of votes Cynthia received, v.
Cynthia received 27 votes.
What are the steps for solving division equations?
What is
1. Identify the variable and operation.
2. Apply the inverse operation (multiplication) to both sides.
3. Solve.
Solve for x
x/0.4=11
What is 4.4?
Using the numbers 8, 4, and 2... give an example of the associate property of multiplication.
Answers may vary
What is (2x4)x8 = 2x(4x8)
or
(8x2)x4=8x(2x4)
Robert had money in his savings account. He spent $30 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Let "m" represent the amount of money in the savings account.
Write the equation & show your work to solve for m.
What is
m-30=70
m=100; He had $100 in savings
Max and some friends shared the cost of a meal. The meal cost $51 and each person contributed $17. How many people shared the cost of the meal? Find the mistake below and give the correct answer.
17x = 51
-17 -17
_________
x = 34
There were 34 people who split the cost of the meal.
What is
the error in the problem is 17 is subtracted from both sides of the equation instead of divided.
There were 3 people who split the cost of the meal.
!!!!BONUS SURPRISE!!!! !!!2-STEP EQUATION!!!
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Solve for y.
5y - 11 = 49
What is
y = 12