A Lil Letter
Solve for n:
n-5=15
n= 15 +5
n= 20
Expand and simplify 2(x+3)+4
2(x) + 2(3) + 4
2x + 6 + 4
2x+ 10
x=8 and y=5 evaluate:
2x+3y−4
2(8) + 3(5) -4
16 +15 - 4
31-4
=27
Solve for p :
2 = 9 – 2p
2 = 9 – 2p
2-9 = -2p
-7 = - 2p
-7 ÷ -2 = p
p= 7 ÷ 2
p= 3.5
Sarah is 3 years older than twice her brother’s age.
If Sarah is 15 years old, how old is her brother?
Let her brother’s age =x
Write the algebraic equation for this question and solve for Sarah's brother's age/
Equation: 2x+3=15
2x= 15-3
2x = 12
x= 12/2
x= 6
Sarah's brother is 6.
y=2x
find y when x = 4
y=2(4)
y=8
Expand and Simplify 14a + 3b + 12a
14a + 12a = 26a
26a + 3b
Substitute m=−2 and n=4, evaluate:
3m+2n−(m−n)
3m + 2n - (m-n)
3(-2) + 2 (4) - (-2-4)
-6 +8 - (-6)
-6 + 8+ 6
2 + 6
= 8
Solve for x:
3(x+4)=18
3(x) + 3(4) =18
3x + 12= 18
3x= 18-12
3x = 6
x= 6/3
x=2
Liam has $12 more than Emma.
Together, they have $36.
How much money does Emma have?
Let Emma’s money = a
How much money does Emma have?
a+(a+12)=36
2a + 12 = 36
2a = 36 -12
2a = 24
a = 24/2
a = 12
Emma has $12 and Liam has $24
5x=25
Solve for x.
x= 25 / 5
x = 5
Expand and Simplify 8x + 4 + 3 (2x-3)
8x + 4 + 3(2x) -3(3)
8x +4 + 6x -9
8x + 6x + 4 - 9
8x+6x = 14 x
4-9 = -5
8x + 4 + 3 (2x-3)
= 14x-5
If a=2 and b=-3, evaluate:
4a−5b+6
4 (2) - 5(-3) +6
8 - (-15) + 6
8 + 15 + 6
= 29
Solve for m:
5(m−2)=3m+6
5(m) - 5(2) = 3m +6
5m -10 = 3m + 6
5m-3m = 6 + 10
2m = 16
m = 16/2
m= 8
Three times a number decreased by 7 equals 11.
What is the number?
Let the number =x
Equation: 3x−7=11
3x = 11+ 7
3x = 18
x= 18/3x
x = 6
Solve 4a+3a-5 when a =4
4(4) + 3(4) - 5
=16 + 12 - 5
= 28 -5
= 23
Expand and Simplify 5(a+2)−3a
5(a) + 5(2) -3a
5a + 10 - 3a
5a - 3a =2a
2a + 10
a=4 and b=1 evaluate:
3(a+b)−2(a−b)
3 (4+1) - 2 (4-1)
3(5) - 2(3)
15- 6
=9
Solve for t:
8(t+1)=2t+18
8(t) + 8(1) = 2t + 18
8t + 8 = 2t + 18
8t -2t = 18 -8
6t = 10
t= 10/6
t= 5/3 OR t = 1 2/3
A notebook costs $2 less than twice the price of a pen.
If the notebook costs $8, how much does the pen cost?
Let the price of the pen = p
Equation: 2p−2=8
2p = 8 + 2
2p = 10
p = 10/2
p = 5
The pen is $5
Solve 3x+7=19
3x = 19-7
3x = 12
x= 12 ÷3
x=4
Expand and Simplify 5(3x+2y)−2(4x−y)
(5×3x)+(5×2y)− [(2×4x)−(2×y)]
=15x+10y−8x+2y
=(15x−8x)+(10y+2y)
=7x+12y
x=−1 and y=3 , evaluate:
5(x+y)−2(x−y)+xy
5 (-1+3) - 2 (-1-3) + (-1 X 3)
5(2) - 2 (-4) + (-3)
10 + 8 - 3
18 - 3
= 15
Solve for x:
4(x+2)−3=2x+7
4(x) + 4(2) -3 = 2x + 7
4x + 8 -3 = 2x + 7
4x - 2x = 7 +3 - 8
2x = 2
x= 2/2
x= 1
Jenny buys 3 packs of pencils and 1 eraser.
Each pack of pencils costs $2 more than the eraser.
If she spends $20 in total, how much does one eraser cost?
Let the cost of 1 eraser = x
cost of one pack of pencils = x+2
Jenny buys 3 packs of pencils and 1 eraser, so:
3(x+2)+x=20
3(x) + 3(2) + x = 20
3x + 6 + x = 20
4x = 20 - 6
4x= 14
x= 14/4
x= 3 1/2 OR 3.5
The eraser costs $3.50, and each pack of pencils costs $5.50.