Vocabulary
Simplify
Distribute
Subtract Expressions
100
Identify the variables in the following algebraic expression:
7x + 2y - 2.3 + 9a
x, y, a
100
Simplify the following expression:
v + v + 5 - 2 + 3v
5v + 3
100
Distribute
4(8h + 3)
4(8h + 3)
4(8h) + 4(3)
32h + 12
100
-6x – (3x + 2y)
-6x – (3x + 2y)
-6x - 3x - 2y
-9x - 2y
200
Identify the coefficients in the following algebraic expression:
-9p + 2 + q - 1
-9p + 2 + q - 1
Coefficients: -9 and 1
200
Simply the following expression:
-4k + -3j + 6 + k + 8j
-4k + -3j + 6 + k + 8j
-3k + 5j + 6
200
Distribute:
-6(3g + f - 7)
-6(3g + f - 7)
-6(3g) + -6(f) + -6(-7)
-18g - 6f + 42
200
(6b + 4f) – ( 5b + f)
(6b + 4f) + -1( 5b + f)
6b + 4f - 5b - 1f
1b + 3f
b + 3f
300
Which pairs of terms below are like terms?
9j + 4k - 7 + k - 7j
9j + 4k - 7 + k - 7j
9j and -7j
4k and k
300
Simply the following expression:
5b - 3c - 6 + 2c - 7b
5b - 3c - 6 + 2c - 7b
5b + -3c + -6 + 2c + -7b
-2b + -1c + -6
-2b - c - 6
300
Simplify
4(d - 3f) + 14f
4(d - 3f) + 14f
4d - 12f + 14f
4d + 2f
300
(-8k + 3) – ( 5k – 4)
(-8k + 3) + -1( 5k – 4)
-8k + 3 - 5k + 4
-13k + 7
400
DAILY DOUBLE
Give a vocabulary word you may see in an algebraic expression for each type of operation.
Addition:
Subtraction:
Multiplication:
Division:
Addition: sum, more than, gain, total, add
Subtraction: less than, difference, subtract, loss,
Multiplication: product, times, double, triple, of
Division: divide, quotient, break into groups
400
The bottom side of the Dorito is 2n.
The left side is 3 more than double the bottom side. The right side is triple the bottom side.
Write and simplify an expression for the perimeter of the Dorito.
2n + 3 + 2(2n) + 3(2n)
2n + 3 + 4n + 6n
12n + 3
400
Distribute and Simplify
-8f + 3(-5b + 2f) - 7b
-8f + 3(-5b + 2f) - 7b
-8f - 15b + 6f - 7b
-2f - 22b
-22b - 2f
400
-9a – 3(2b – 3a) + b
-9a – 3(2b – 3a) + b
-9a - 6b + 9a + b
-5b
500
Describe the difference between Coefficients and Constants.
Coefficients are ____________________.
Constants are _____________________.
Coefficients are the numbers next to the variable.
Constants are the numbers without variables.
500
You are really trying hard to finish a video game. The first hour you complete x levels. The 2nd hour you complete 2 more than the first hour. The 3rd hour you complete 4 less than 3 times the first hour. The 4th hour you complete double the first hour. How many total levels did you complete?
1st hour 2nd hour 3rd hour 4th hour
x 2 + x 3x - 4 2x
x + 2 + x + 3x - 4 + 2x
7x - 2 levels
500
Simplify
2(5x - 4y) - 5(-2y - x)
2(5x - 4y) + -5(-2y - x)
10x - 8y + 10y + 5x
15x + 2y
500
Tommy and Cindy are comparing their amounts of money.
Tommy has (5n + 13) dollars.
Cindy has (3n - 8) dollars.
How much more money does Tommy have than Cindy?
Simplify your answer.
Tommy - Cindy
(5n + 13) - (3n - 8)
5n + 13 - 3n + 8
2n + 21 dollars