Key Words/ Word Problems
The word "twice" is what type of math, with what number?
Times 2
or
Multiply by 2
Draw a Diagram that represents the following:
3x
[] [] []
What is the Distance-Rate-Time formula?
Rate x Time = Distance
Show your work and Solve for x
-4x = -4
-4x/-4 = -4/-4
x = 1
Solve using the Distributive Property. Show work
2 (x + 1) = 14
2 (x + 1) = 14
2x + 2 = 14
-2 -2
2x = 12
2x/2 = 12/2
x = 6
Write the expression that represents eight less five.
8-5
Draw the Diagram that represents
x + 2x
[] + [] []
A boat is racing across the lake at a speed of 40 miles per hour. It is a large lake, and the boat travels for 3 hours.
Identify which of the 3 we have available, rate, distance and/or time. Be specific
Rate of 40 miles per hour
Time of 3 hours.
Show your work and Solve for x
-5x = 10
-5x/-5 = 10/-5
x = -2
Solve by dividing the coefficient. Show work
3(x + 2) = 18
3(x + 2) = 18
3(x + 2)/3 = 18/3
x + 2 = 6
-2 -2
x = 3
Aiden is 5 years older than Jamie. Write the expression that represents Aiden's age.
x+5
Draw the Diagram that represents the following:
2x + 2x + x
[] [] + [] [] + []
A bike rode across the county at 11 miles per hour. The bike traveled 55 miles. How many hours did it take the bike to travel the 55 miles. Show your work
11t = 55
11t/11 = 55/11
t = 5 hours
Show your work and Solve for x
-2x - 1 = 7
-2x - 1 = 7
+1 +1
-2x = 8
-2x/-2 = 8/-2
x = -4
Solve by starting with a zero pair. Show work
8(x+1) +2 = 90
8(x+1) +2 = 90 8(x+1) +2 = 90
-2 -2 -2 -2
8(x+1) = 88 8(x+1) = 88
8(x+1)/8 = 88/8 OR 8x + 8 = 88
x + 1 = 11 -8 -8
-1 -1 8x = 80
x = 10 8x/8 = 80/8
x = 10
Ryan is three times as old as his sister Mary. Write the expression that represents Ryan's age.
3x
Write the expression represented in this diagram:
[] + [] [] [] [] + [] []
x + 4x + 2x
r . 2 = 5000
2r = 5000
2r/2 = 5000/2
r = 2500 feet per hour
Show your work and Solve for x
-x + 2 = 13
-x + 2 = 13
- 2 - 2
-x = 11
-x/-1 = 11/-1
x = -11
Solve by using the distributive property. Show work
3(2x + 3) - 4 = 29
3(2x + 3) - 4 = 29
6x + 9 - 4 = 29
6x + 5 = 29
-5 -5
6x = 24
6x/6 = 24/6
x = 4
Aaron is twice as old as Laura, less 3 years. Write an expression to represent Aaron's age.
2x-3
Write the expression that represents the following:
[] [] + [] [] [] + [] [] [] [] - 5
2x + 3x + 4x - 5
Write a problem that would represent the following Distance-Rate-Time problem using miles per hour.
40t = 120
A boat is racing across the lake. The boat was traveling at 40 miles per hour and traveled 120 miles total. How long did the boat drive for.
Show your work and Solve for x
-2x + x - 4 + 3 = 12
-2x + x - 4 + 3 = 12
-x - 1 = 12
+ 1 + 1
-x = 13
-x/-1 = 13/-1
x = -13
Make a zero pair and then divide by the coefficient to solve. Show work.
6 (x + 4) - 6 = 30
6 (x + 4) - 6 = 30
+6 +6
6 (x + 4) = 36
6 (x + 4)/6 = 36/6
x + 4 = 6
- 4 - 4
x = 2