Mixed Multi-Step Word Problems flashcards
8 cards with the formulas, rules and traps from this lesson. Answer in your head, then flip to check.
Strategy · 1/8
What does the TARGET, DATA, UNITS, MODEL, SOLVE, CHECK routine involve?
Pin down exactly what is asked; list the numbers that matter; convert to common units; write the operations before computing; solve in labeled steps; check that the answer is reasonable and matches the target.
Common trap · 2/8
600 crates: 40 percent ship Monday, half the rest Tuesday. How many remain?
180. The 360 left after Monday is only an intermediate value; Tuesday ships 180 of them. Label each result so you do not stop on a stepping stone.
Rule · 3/8
720 recruits: 5/8 pass test 1, and 80 percent of those pass test 2. Pass both?
, then . Apply each percent to the group it describes, not the original total.
Rule · 4/8
5 boxes at 8 dollars each, plus 2 dollars shipping per box. Total cost?
dollars. Writing charges shipping only once; decide whether each charge is per item or per order.
Rule · 5/8
How do you combine 2 yards of cable and a 4-foot piece?
Convert to one unit before combining: 2 yards is 6 feet, so the total is 6 + 4 = 10 feet. Quantities can be added only when their units match.
Strategy · 6/8
After a 15 percent raise, a wage is 23 dollars per hour. What was it before?
Undo the change by dividing by the multiplier: dollars. Subtracting 15 percent of 23 is wrong because the raise was based on the old wage.
Strategy · 7/8
How can the answer choices help on a multi-step problem?
Cross out choices that fail your estimate or have the wrong unit or size, watch for intermediate values planted as choices, and in reverse problems test a choice by running it forward.
Common trap · 8/8
1,746 good units are packed 24 per box. How many full boxes?
remainder 18, so 72 full boxes. The 18 leftover units do not fill another box, so do not round up.