Mathematical Process Standards>Applying Mathematics to Everyday Life and Work(TEKS.Math.6.1.A)
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Texas 6th Grade Math › Mathematical Process Standards>Applying Mathematics to Everyday Life and Work(TEKS.Math.6.1.A)
A community cleanup is making snack bags. Each of the 96 volunteers gets 1 granola bar, and each of the 7 team leaders needs 2 bars. Boxes contain 18 bars. What expression should you calculate first to find the total number of bars needed before dividing by 18?
$96 + 7 + 2$
$96 \times (7 + 2)$
$96 + 2 \times 7$
$(96 + 7) \times 2$
Explanation
You need the total bars required: 96 bars for volunteers plus 2 bars per team leader, so $96 + 2 \times 7$. The other choices either add everything, group incorrectly, or double the entire group.
A delivery driver gets paid $12 per hour plus $0.50 per mile driven. Last Saturday, the driver worked 6.5 hours and drove 120 miles. Which expression gives the driver's pay in dollars for that day?
$12 \times 6.5 + 0.50 \times 120$
$12(6.5 + 120) + 0.50$
$12 \times 6.5 \times 0.50 \times 120$
$12 \times 6.5 + 0.50 \times (6.5 + 120)$
Explanation
Hourly earnings are $12 \times 6.5$ and mileage pay is $0.50 \times 120$. Add those to get the total. The other options mix hours with miles or multiply everything together, which does not match the pay rules.
A phone plan charges a base fee of $20 per month plus $5 per gigabyte of data. Let $d$ be the number of gigabytes used. Which equation models the total monthly cost $C$?
$C = 20d + 5$
$C = 20d + 5d$
$C = 20(5 + d)$
$C = 20 + 5d$
Explanation
The total cost is the fixed $20 plus $5 for each gigabyte: $C = 20 + 5d$. The other choices either multiply the fee by $d$ or combine the terms incorrectly.
A bakery recipe makes 24 cookies per batch and uses 3 cups of flour. You need at least 90 cookies for a school event. What is the first calculation you should do to figure out how many batches to make?
$24 \div 90$
$90 \div 24$
$90 \times 3$
$24 + 3$
Explanation
Divide the needed cookies by cookies per batch: $90 \div 24$ gives the number of batches. The other options use the wrong operation or compare unrelated quantities.
A teacher is organizing supplies. There are 1,032 loose markers and 7 sealed packs with 12 markers each. All markers will be repacked into boxes of 48 markers. Which expression would you evaluate to find how many full boxes can be made (any leftover markers are kept aside)?
$1032 \div 48 + 7 \times 12$
$(1032 \times 7 + 12) \div 48$
$(1032 + 7 \times 12) \div 48$
$1032 + 7 + 12$
Explanation
First find the total markers $1032 + 7 \times 12$, then divide by 48 to get the number of full boxes. A remainder would represent leftovers. The other choices use incorrect operations or order.