Match the Situation
Which situation is represented by 2x+10>4x, where x is the cost of one shirt?
A. Two shirts and a $10 sweater cost more than four shirts.
B. Four shirts and a $10 sweater cost more than two shirts.
C. Two shirts and a $10 sweater cost less than four shirts.
D. Two shirts cost $10 less than four shirts.
A. Two shirts and a $10 sweater cost more than four shirts.
Which situation is represented by 6+4x<2+5x, where x is the number of rental hours?
A. A shop charges $6 per hour plus a $4 fee; another charges $2 per hour plus a $5 fee. The first costs less.
B. A shop charges a $6 fee plus $4 per hour; another charges a $2 fee plus $5 per hour. The first costs less.
C. A shop charges a $6 fee plus $4 per hour; another charges a $2 fee plus $5 per hour. The first costs more.
D. A shop charges a $6 fee plus $5 per hour; another charges a $2 fee plus $4 per hour. The first costs less.
B. A shop charges a $6 fee plus $4 per hour; another charges a $2 fee plus $5 per hour. The first costs less.
Which situation is represented by 24+5x=9+8x, where x is the number of weeks?
A. A student starts with $24 and spends $5 weekly; another starts with $9 and spends $8 weekly. They have the same amount.
B. A student starts with $24 and saves $5 weekly; another starts with $9 and saves $8 weekly. The first has more.
C. A student starts with $24 and saves $5 weekly; another starts with $9 and saves $8 weekly. They have the same amount.
D. A student starts with $5 and saves $24 weekly; another starts with $8 and saves $9 weekly. They have the same amount.
C. A student starts with $24 and saves $5 weekly; another starts with $9 and saves $8 weekly. They have the same amount.
Two phone plans have monthly costs. Plan A charges $7.50 plus $0.12 per text. Plan B charges $10 plus $0.08 per text. Which inequality represents when Plan A costs no more than Plan B for x texts?
A. 0.12+7.5x≤0.08+10x
B. 7.5+0.12x≤10+0.12x
C. 7.5+0.12x≤10+0.08x
D. 7.5+0.12x≥10+0.08x
C. 7.5+0.12x≤10+0.08x
Which situation is represented by -3x+10=2x-5, where x is the number of rounds?
A. A team starts with 3 points and loses 10 points each round; another starts 2 points behind and loses 5 each round. Their scores are equal.
B. A team starts with 10 points and gains 3 points each round; another starts with 5 points and loses 2 each round. Their scores are equal.
C. A team starts with 10 points and loses 3 points each round; another starts 5 points behind and gains 2 points each round. Their scores are equal.
D. A team starts with 10 points and loses 3 points each round; another starts 5 points behind and loses 2 points each round. The first team has more points.
C. A team starts with 10 points and loses 3 points each round; another starts 5 points behind and gains 2 points each round. Their scores are equal.
Which situation is represented by 15+8x=11x, where x is the number of classes?
A. A gym with a $15 fee and $8 per class costs the same as a gym with an $11 fee.
B. A gym with a $15 fee and $8 per class costs the same as a gym charging $11 per class.
C. A gym with an $8 fee and $15 per class costs the same as a gym charging $11 per class.
D. A gym with a $15 fee and $8 per class costs the same as a gym with an $11 fee and $15 per class.
B. A gym with a $15 fee and $8 per class costs the same as a gym charging $11 per class.
Which situation is represented by 0.10x+30≥0.15x+20, where x is the number of texts?
A. A plan has a $30 fee and costs 10 cents per text; another has a $20 fee and costs 15 cents per text. The first costs at least as much.
B. A plan has a $30 fee and costs 10 cents per text; another has a $20 fee and costs 10 cents per text. The first costs at least as much.
C. A plan has a $10 fee and costs 30 cents per text; another has a $15 fee and costs 20 cents per text. The first costs at least as much.
D. A plan has a $30 fee and costs 10 cents per text; another has a $20 fee and costs 15 cents per text. The first costs at most as much.
A. A plan has a $30 fee and costs 10 cents per text; another has a $20 fee and costs 15 cents per text. The first costs at least as much.
Two students save money for a trip. One starts with $12 and saves $3.50 each week. The other starts with $20 and saves $2.50 each week. Which equation represents when their savings are equal after x weeks?
A. 12-3.5x=20-2.5x
B. 12+3.5x=20+3.5x
C. 12+3.5x=20+2.5x
D. 3.5+12x=2.5+20x
C. 12+3.5x=20+2.5x
Two hikers start at different elevations. Hiker A is at 125 meters and descends 15 meters per minute. Hiker B is at 80 meters and ascends 7.5 meters per minute. Which equation represents when they are at the same elevation after x minutes?
A. 125-15x=80-7.5x
B. 15-125x=7.5-80x
C. 125+15x=80-7.5x
D. 125-15x=80+7.5x
D. 125-15x=80+7.5x
Which situation is represented by 0.5x-8<-1.5x+4, where x is the number of hours?
A. One temperature starts at -8 degrees and rises 0.5 degree per hour; another starts at 4 degrees and drops 1.5 degrees per hour. The first temperature is lower.
B. One temperature starts at 0.5 degree and drops 8 degrees per hour; another starts at -1.5 degrees and rises 4 degrees per hour. The first is lower.
C. One temperature starts at -8 degrees and drops 0.5 degree per hour; another starts at 4 degrees and rises 1.5 degrees per hour. The first is lower.
D. One temperature starts at -8 degrees and rises 0.5 degree per hour; another starts at 4 degrees and drops 1.5 degrees per hour. The first temperature is higher.
A. One temperature starts at -8 degrees and rises 0.5 degree per hour; another starts at 4 degrees and drops 1.5 degrees per hour. The first temperature is lower.
Which situation is represented by 12.5+3x>17.5+1.5x, where x is the number of weeks?
A. A puppy starts at 12.5 pounds and gains 3 pounds weekly; another starts at 17.5 pounds and gains 3 pounds weekly. The first puppy weighs more.
B. A puppy starts at 3 pounds and gains 12.5 pounds weekly; another starts at 1.5 pounds and gains 17.5 pounds weekly. The first puppy weighs more.
C. A puppy starts at 12.5 pounds and gains 3 pounds weekly; another starts at 17.5 pounds and gains 1.5 pounds weekly. The first puppy weighs more.
D. A puppy starts at 12.5 pounds and gains 3 pounds weekly; another starts at 17.5 pounds and gains 1.5 pounds weekly. The first puppy weighs less.
C. A puppy starts at 12.5 pounds and gains 3 pounds weekly; another starts at 17.5 pounds and gains 1.5 pounds weekly. The first puppy weighs more.
Which situation is represented by 1.2x+5≤0.8x+9, where x is the number of kilometers?
A. A route costs $5 plus $1.20 per kilometer; another costs $8 plus $0.80 per kilometer. The first costs no more.
B. A route costs $1.20 plus $5 per kilometer; another costs $0.80 plus $9 per kilometer. The first costs no more.
C. A route costs $5 plus $1.20 per kilometer; another costs $9 plus $0.80 per kilometer. The first costs no more.
D. A route costs $5 plus $1.20 per kilometer; another costs $9 plus $0.80 per kilometer. The first costs no less.
C. A route costs $5 plus $1.20 per kilometer; another costs $9 plus $0.80 per kilometer. The first costs no more.
A student saves for a trip. One savings plan starts with $4 and adds two-thirds of a dollar each week. Another starts with $10 and adds one-third of a dollar each week. Which situation is represented by 2/3 x+4=1/3 x+10, where x is the number of weeks?
A. One plan starts with $2/3 and adds $4 per week; another starts with $1/3 and adds $10 per week. Their balances are equal.
B. One plan starts with $4 and adds one-third of a dollar per week; another starts with $10 and adds two-thirds of a dollar per week. Their balances are equal.
C. One plan starts with $4 and adds two-thirds of a dollar per week; another starts with $10 and adds one-third of a dollar per week. Their balances are equal.
D. One plan starts with $4 and adds two-thirds of a dollar per week; another starts with $10 and adds one-third of a dollar per week. The first plan has more.
C. One plan starts with $4 and adds two-thirds of a dollar per week; another starts with $10 and adds one-third of a dollar per week. Their balances are equal.
A student has $4.25 and earns $1.50 per chore. Another student has $10.25 and spends $0.50 per chore completed. Which equation represents when they have the same amount after x chores?
A. 4.25+1.5x=10.25-0.5x
B. 4.25-1.5x=10.25+0.5x
C. 1.5+4.25x=0.5+10.25x
D. 4.25+1.5x=10.25+0.5x
A. 4.25+1.5x=10.25-0.5x
Which situation is represented by -4.5x-20>-2x+10, where x is the number of transactions?
A. An account starts $20 in debt and earns $4.50 per transaction; another starts with $10 and loses $2 per transaction. The first balance is greater.
B. An account starts $4.50 in debt and loses $20 per transaction; another starts $2 in debt and earns $10 per transaction. The first balance is greater.
C. An account starts $20 in debt and loses $4.50 per transaction; another starts with $10 and loses $2 per transaction. The first balance is less.
D. An account starts $20 in debt and loses $4.50 per transaction; another starts with $10 and loses $2 per transaction. The first balance is greater.
D. An account starts $20 in debt and loses $4.50 per transaction; another starts with $10 and loses $2 per transaction. The first balance is greater.
Which situation is represented by 18-2.5x>30-4x, where x is the number of weeks?
A. An account starts with $18 and increases by $2.50 weekly; another starts with $30 and increases by $4 weekly. The first balance is greater.
B. An account starts with $2.50 and decreases by $18 weekly; another starts with $4 and decreases by $30 weekly. The first balance is greater.
C. An account starts with $18 and decreases by $2.50 weekly; another starts with $30 and decreases by $4 weekly. The first balance is less.
D. An account starts with $18 and decreases by $2.50 weekly; another starts with $30 and decreases by $4 weekly. The first balance is greater.
D. An account starts with $18 and decreases by $2.50 weekly; another starts with $30 and decreases by $4 weekly. The first balance is greater.
Which situation is represented by -2.5x+12<1.5x-4, where x is the number of minutes?
A. Hiker A starts at 12 meters and descends 2.5 meters per minute; Hiker B starts 4 meters below sea level and ascends 1.5 meters per minute. Hiker A’s elevation is lower.
B. Hiker A starts at 12 meters and ascends 2.5 meters per minute; Hiker B starts 4 meters below sea level and descends 1.5 meters per minute. Hiker A’s elevation is lower.
C. Hiker A starts at 2.5 meters and descends 12 meters per minute; Hiker B starts 1.5 meters below sea level and ascends 4 meters per minute. Hiker A’s elevation is lower.
D. Hiker A starts at 12 meters and descends 2.5 meters per minute; Hiker B starts 4 meters below sea level and ascends 1.5 meters per minute. Hiker A’s elevation is higher.
A. Hiker A starts at 12 meters and descends 2.5 meters per minute; Hiker B starts 4 meters below sea level and ascends 1.5 meters per minute. Hiker A’s elevation is lower.
A small dog weighs 8.5 pounds and gains 0.75 pound each month. A larger dog weighs 11 pounds and gains 0.25 pound each month. Which inequality represents when the small dog weighs less than the larger dog after x months?
A. 0.75+8.5x<0.25+11x
B. 8.5+0.75x<11+0.25x
C. 8.5+0.75x<11+0.75x
D. 8.5+0.75x>11+0.25x
B. 8.5+0.75x<11+0.25x
A bakery charges a setup fee of $4.50 plus $1.25 per pastry. Another charges $8.50 plus $0.75 per pastry. Which equation represents when the costs are equal for x pastries?
A. 1.25+4.50x=0.75+8.50x
B. 4.50+1.25x=8.50+0.75x
C. 4.50+1.25x>8.50+0.75x
D. 4.50+0.75x=8.50+1.25x
B. 4.50+1.25x=8.50+0.75x
Which equation represents when a hot-air balloon descending from 6 meters and a drone climbing from 9 meters below the reference level are at the same height after x minutes?
A. -0.75x+6=-0.5x-9
B. -0.75x+6=0.5x-9
C. -0.75+6x=0.5-9x
D. 0.75x+6=0.5x-9
B. -0.75x+6=0.5x-9
Which situation is represented by -2x+7≤5x-14, where x is the number of rounds?
A. One team’s lead starts at 7 points and grows by 2 points each round; another starts 14 points behind and grows by 5 points each round. The first lead is no greater than the second.
B. One team’s lead starts at 7 points and shrinks by 2 points each round; another starts 14 points behind and grows by 5 points each round. The first lead is no less than the second.
C. One team’s lead starts 14 points behind and shrinks by 2 points each round; another starts 7 points behind and grows by 5 points each round. The first lead is no greater than the second.
D. One team’s lead starts at 7 points and shrinks by 2 points each round; another starts 14 points behind and grows by 5 points each round. The first lead is no greater than the second.
D. One team’s lead starts at 7 points and shrinks by 2 points each round; another starts 14 points behind and grows by 5 points each round. The first lead is no greater than the second.
Which situation is represented by 1/2x-3=3/4x+2, where x is the number of miles traveled?
A. One travel balance starts at $3 and changes by half a dollar per mile; another starts at $2 and changes by three-fourths of a dollar per mile. The balances are equal.
B. One travel balance starts at $3 below zero and changes by half a dollar per mile; another starts at $2 below zero and changes by three-fourths of a dollar per mile. The balances are equal.
C. One travel balance starts at half a dollar and changes by $3 per mile; another starts at three-fourths of a dollar and changes by $2 per mile. The balances are equal.
D. One travel balance starts at $3 below zero and changes by half a dollar per mile; another starts at $2 and changes by three-fourths of a dollar per mile. The balances are equal.
D. One travel balance starts at $3 below zero and changes by half a dollar per mile; another starts at $2 and changes by three-fourths of a dollar per mile. The balances are equal.
Which situation is represented by 6.99+1.5x≤9.99+0.75x, where x is the number of premium rentals?
A. A streaming plan charges $1.50 plus $6.99 per rental; another charges $0.75 plus $9.99 per rental. The first costs no more.
B. A streaming plan charges $6.99 plus $1.50 per rental; another charges $9.99 plus $0.75 per rental. The first costs no less.
C. A streaming plan charges $6.99 plus $1.50 per rental; another charges $9.99 plus $0.75 per rental. The first costs no more.
D. A streaming plan charges $6.99 plus $1.50 per rental; another charges $9.99 plus $0.75 per rental. The first costs more.
C. A streaming plan charges $6.99 plus $1.50 per rental; another charges $9.99 plus $0.75 per rental. The first costs no more.
Two cyclists travel toward the same destination. Cyclist A is 18 miles from the destination and rides 3.5 miles per hour. Cyclist B is 30 miles from the destination and rides 5 miles per hour. Which equation represents when the cyclists are the same distance from the destination after x hours?
A. 18-3.5x=30-3.5x
B. 18+3.5x=30+5x
C. 3.5-18x=5-30x
D. 18-3.5x=30-5x
D. 18-3.5x=30-5x
Which inequality represents when a video-game score starting at 18 points below zero loses 1.25 points per penalty and is no greater than a rival's score, which starts at 22 points and gains 0.75 point per round?
A. -18-1.25x≥22+0.75x
B. -1.25-18x≤0.75+22x
C. -1.25x-18≤0.75x+22
D. -1.25x-18>0.75x+22
C. -1.25x-18≤0.75x+22