Simplifying Expressions & Equations
Factor the following expression:
3x - 15
What is 3(x-5)
Write the expression:
the sum of triple a number and 12 is 24
3x + 12 = 24
You need to buy a new TV and want to pay monthly payments for it. The one you have chosen requires a $100 down payment and 8 months of payments. If the TV costs $764 total, write an equation that represents how much each monthly payment (m) will be.
8m + 100 = 764
Solve for x.
-2x + 7 = 49
x=-21
The area of a rectangle is 70 square feet. The length of the rectangle is 10 feet. What is the width of the rectangle?
w=7
Simplify the following expression:
y + y - 9 + y + 1
3y - 8
Write the expression:
11 more than half a number
What is x/2 + 11 or 1/2x + 11
Ms. Whitaker went to Race Trac and bought some bags of candy for $2 each and a coffee for $3. She spent a total of $21 at the store. Write an equation to represent the situation, then find how many bags of candy Ms. Whitaker bought.
What is
2x + 3 = 21
Ms. Whitaker bought 9 bags of candy.
Solve for x.
-2(x + 6) = -36
x =12
Simplify the following expression:
2(3x-1) + x
7x - 2
Simplify the following expression:
6(4-2p)+9p
24-3p
Write the equation:
Seven decreased by 3 times a number is -39.
7 - 3n = -39
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
.50x + 20 = 35
Solve for x.
10 - 6x = 70
x = -10
The formula for Ohm's Law is V=IR. Solve Ohm's Law for I.
I=V/R
Simplify the following expression:
5(4x - 2) - 13x
7x - 10
Kira is 5 inches shorter than her brother. If her brother is t inches tall, write an expression that represents Kira's height.
t - 5
Andre babysat 5 times this past month and earned the same amount of money each time. To thank him, the family gave him an extra $10 at the end of the month. Andre earned $99 from babysitting.
How much did Andre earn each time he babysat?
$17.80 dollars
Solve for x.
x/4 + 5 = 25
x = 80
Solve the equation:
2(a - 5) - 5 = 3
a = 9
Which of the following are equivalent to 6(3x-2)+2-8x?
a) 3(5x-4)
b) 10x-10
c) 18x-2-8x
d) 2(-5x+4)
e) 10(x-1)
B
Write an equation for the following scenario:
A family of 5 drove to a concert. They paid $4 for parking. The tickets to the concert were all the same price. They paid $99 in total.
5x + 4 = 99
Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using 𝑚 to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.
Equation: 0.05m + 10 = 22
m = 240
Solve for z.
2(z + 5) + 4 = -12
z =-13
Identify the mistake in the following work:
4(x + 20) = 100
4x + 20 = 100
4x = 80
x = 20
They did not distribute the 4 to everything inside the parenthesis.