Expressions & Word Problems
Haddie charges $12 per scarf and pays a $25 booth fee.
Write an expression for her profit from selling s scarves.
12s – 25
58m + 9 – 38m – 15
20m – 6
16(2t - 3)
32t - 48
Factor: 63a – 42b
21(3a – 2b)
Combine like terms:
4m – 2 + 4m – 1.5
8m – 3.5
Using the expression 0.32p + 0.48n, find the cost for 4.5 lb of potatoes and 2.5 lb of onions.
$2.34
-8w + (-4z) + 2 + 6w + 9z - 7
-2w + 5z – 5
Expand:
2(16t – 24)
32t – 48
Factor: 81y + 54
27(3y + 2)
Evaluate:
0.32(4.5) + 0.48(2.5)=x
x=2.34
Jean ran 2 fewer than 4m miles last week. This week she ran 0.5 more than that.
Write and simplify an expression for her total miles for both weeks.
(4m – 2) + (4m – 1.5) = 8m – 3.5
-6 + (-2d) + (-4d) + 3d
-3d – 6
Expand:
8(4t – 6)
32t – 48
Factor completely:
20m – 6
2(10m - 3)
Last week Jean ran 2 fewer than 4m miles. This week she ran 0.5 miles more than last week. Write and simplify an expression for the total number of miles Jean ran in the two weeks.
8m – 3.5
Hal receives a 2% raise. The expression is n + 0.02n.
Give a simplified equivalent expression.
1.02n
(5.2c - 7.35) + (-3.9c + 2.65)
1.3c – 4.7
Expand: 3.5(-3n + 4)
-10.5n + 14
Factor completely:
14z – 9
This cannot be factored further over integers
Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression n + 0.02n is one way to represent Hal’s pay per hour after the raise. Write an equivalent simplified expression that will represent his pay per hour after the raise.
1.02n
A garden’s area is 84z – 54 and is divided into 6 equal sections.
Write an expression for each section's area.
(84z – 54) ÷ 6 = 14z – 9
(6x - 2y - 5) - (-5 + 9y - 8x)
14x - 11y
Expand and simplify:
-35(-8 + 59x - 3)
385 – 2065x + 105 = 490 – 2065x
Which is a correct factorization of 32t – 48? Select all that apply.
2(16t – 24)
4(12t – 48)
6(26t – 42)
8(4t – 6)
16(2t – 3)
2(16t – 24), 8(4t – 6), and 16(2t – 3)
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The seconds will be equal in area. Write an expression that represents the area of each section.
14z – 9