Writing Equations
I have $300 in my bank account after I deposit a check for $20.50. Write an algebraic expression (using a variable and addition) to show the amount of money I had before I deposited my check.
m + $20.50 = $300
Simplify using the distributive property. Combine like terms. 3(2x + 6)
6x + 18
Graph the inequality x>4
____________O------->______
0 1 2 3 4 5
28 -: (13-2 * 3)
4
Evaluate for x=6
3 x + 5
23
1/4 of the students in the room have black hair. Write an expression for the number of students in the classroom if 10 of them have black hair and solve it.
1/4 s = 10
s = 40
Simplify using the distributive property. Combine like terms.6(2x+3y+5x+4)
42x+18y+24
Graph the inequality x < 5
__<----.
1 2 3 4 5
6-3 + (3-: 1) -: 1
6
Evaluate for x=4 and y=2
3x + 2y + 7
23
The formula for surface area using l as length h as height and w for width of a rectangular prism.
2lw + 2lh + 2hw = SA
Use the distributive property to write an equivalent expression. 4x + 6
2(2x+3)
Write an inequality for the following:
He has less than 15 tardies this year.
t < 15
Evaluate for x by using the inverse operation.
x+2/3 = 6
x = 5 1/3
A textbook is on sale for $120. If the sale price is 3/4 of the regular price, write an expression for the full cost of the book and solve it.
3/4 c = $120
c= $160
Use the distributive property to write an equivalent expression. 9x + 12 y + 15
3(3x + 4y + 5)
Write an inequality for the following:
The unicorn can travel up to 70 miles per day.
u < 70
7*2 - 10-:5
12
Evaluate using the inverse operation.
x-6 = 10
x=16
Jayne bought 6/8 as many books as Jacob. If Jayne bought 12 books, write an expression for the number of books Jacob bought and solve it.
6/8 n = 12
n = 16
Write the sum as a product by using the distributive property to pull out the greatest common factor (GCF).
54 + 81 = ____*____+____*____=____=_____
54+81 = 9*6 + 9*9 = 9(6+9) = 135
Write an inequality for the following:
The company charges an extra fee if they have to travel more than 50 miles.
m > 50
6-: 2(1+2)
1
Evaluate using inverse operations
2/3 x = 8
x = 12