Like Terms
Which are the like terms in the following expression:
-x + 2y + 7x + 2z
-x and 7x
Simplify the expression:
2 x a x 7
14a
Simplify
y divided by 3
y/3
Expand the expression:
6(x + 4)
4x + 24
This equation shows hot the total number of songs Leroy knows how to sing depends on the number of weeks he takes voice lessons.
p = w + 7
The variable w represents the number of weeks he has taken voice lessons, and the variable p represents the total number of songs he has learnt. After 4 weeks of voice lessons, how many songs will Leroy be able to sing, in total?
p = 11
Identify the like terms in the equation below:
5x2+4y-8x2+4x2
5x2
-8x2
4x2
Simplify this expression:
a x 6 x c x 3
18ac
mn divided by 11
mn/11
Expand the expression:
6(m - 3)
6m - 18
Samantha has some pocket money saved up. She decides to buy a new video game that costs $27. However, she wants to save a part of her pocket money for future purchases. She decides to buy the game using a combination of her pocket money and money she earns by completing chores.
Let's use "p" to represent the amount of pocket money she uses and "c" to represent the amount of money she earns from doing chores. The sum of her pocket money and chore money should be equal to the cost of the video game.
Write an equation using algebra to represent the situation.
p + c = $27
Now, we know that if Samantha used $15 from her pocket money, so we can substitute "p" with 15:
$15 + c = $20
Simplify the following by collecting like terms
12x + 3x + 11y - 5y
15x + 6y
simplify:
w x 5 x w
5w2
(4x - 2) divided by 7
(4x - 2)/7
Expand the following
8(2p + 7)
16p + 56
Samantha is twice as old as her younger brother, Max. Let's use "M" to represent Max's age. Write an equation using algebra to represent the situation if Samantha is 12 years old.
2M = 12
Simplify the following by collecting like terms:
13x + 27x + 13y - 14x + 8y + 5
26x + 21y + 5
Simplify:
8 x a3 x 3 x a2
24a5
Simplify the expression by dividing by any common factors:
12a/16a
3/4
Expand the following:
3f(f + 5)
3f2 + 15f
Jamie is three years older than his younger sister, Lily. Let's use "L" to represent Lily's age. Write an equation using algebra to represent the situation if Jamie is 15 years old.
L + 3 = 15
Simplify the expression by collecting the like terms:
4x - 8y + 5x + 3y3+ 7x - y3
16x - 8y + 4y3
Simplify: 9e4g2 x 6ge3
30e7g3
Simplify
5ab/15a
b/3
Expand the following:
3(4a + b) + 2(6a + c)
24a + 3b + 2c
Sara and her friend Emma went to a bookstore. Sara bought four times as many books as Emma. Let's use "E" to represent the number of books Emma bought. Write an equation using algebra to represent the situation and find the number of books each of them bought if Sara bought 8 books.
4E = 8
E = 2