Unit 6: Solving Multi-Step Problems with Proportional Relationships
If 1 yard = 91.44 centimeters, then _______ yards = 512.064 centimeters.
5.6 Yards
During his basketball career, Karl Malone took 22,975 free throws. He made 42.6% of his free throws. Determine the number of free throws Karl Malone made during his career.
9,787 Free Throws
((−3)2)3
729
Re-write the expression 3 +( 9 + 2) using the commutative property.
3+(2+9)
Gregg and Dan are moving boxes. Gregg can move 8 boxes every half hour. Dan can move 11 boxes every half hour. How many hours will it take Gregg and Dan to move all 114 boxes?
𝑥 = 3 hours
A used laptop costs $420. The laptop was then marked up 57% before selling it. What was the sale price of the laptop?
420∙0.57=$239.40 markup
+$420
Laptop Sale Price $659.40
510/57
510-7= 53 = 125
Re-write the expression 6 +( 5 + 7) using the associative property.
(6+5) + 7
Cashews cost $63.00 per 5 pound bag. How much would a 2 pound bag of cashews cost?
A 2 pound bag of cashews would cost $25.20.
1. Shawn found a deal for a kayak trip to see the bioluminescent jellyfish in the Indian River Lagoon. The deal said it was 40% off of the regular price. Shawn paid $267 for 5 adults.
Determine the regular cost of the kayak trip for 1 adult.
$89.00
(42)7/414
414-14=40=1
Re-write the expression 3( 9x + 2) using the distributive property.
27x + 6
Typing at a rate of 40 words per minute is considered a good speed. If a student has to type a paper that contains 700 words, how many minutes will it take the student to type the paper?
It will take the student 17.5 minutes to type the paper.
An item was sold at $1,875 after taxes. The item had a discount of 20% and a sales tax of 10%. How much was the original price of the item?
The original price was $2130.69.
Determine if the equations in the table are true or false.
|6.8−9.3|×(−2)=−5
True
−5
𝟕𝒙 + 𝟑𝒙 − 𝟔
𝑥 = −3
−36
Raspberries cost $3.23 per 12 pints. How much would it cost to purchase 3 pints of blackberries?
𝑥=19.38 It would cost $19.38 to purchase 3 pints of raspberries
2. Shanice makes an investment of $6,850 into an account that earns 3.2% simple interest per year.
Determine the total amount that Shanice will have in the account after 8 years.
Simple Interest Formula
𝐼=𝑝𝑟𝑡
Total Amount $8,603.60
Determine if the equations in the table are true or false.
8.4×6.9+(−6)2=21.96
False
93.96
2(𝟗 +𝟔𝒚)+𝟒𝒙
𝑥 = −2
𝑦 = 6
82