Honors Algebra Unit 2 Word Problem Extra Practice

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is the number?

• -10

• -12

• -6

• -9

The Sun Spa charges annual dues of $125 plus $10 per hour to use the facilities. The Moon Spa charges annual dues of $230 plus $7 per hour to use the facilities. For what number of hours would the two spas charge the same total amount?

• 18

• 38

• 35

• 52

FJH had 79 rushing yards last night. Carson had 5 times as many yards as Josh, while Grady had 16 more yards than Josh. How many yards did Josh have?

• 9 yards

• 25 yards

• 45 yards

• 60 yards

A triangular sail has two sides the same length. The third side is 9 feet shorter than either of the equal sides. The perimeter of the sail is 63 feet. How long is the shortest side?

• 6 ft

• 10 ft

• 15 ft

• 23 ft

The length of a rectangle is 2 cm more than 5 times the width. The perimeter is 196 cm. Find the width.

• 8 cm

• 16 cm

• 47 cm

• 82 cm

To stay in shape, Julie goes running three times a week. On Wednesday, she ran 3 miles less than on Monday. On Friday, she ran twice as far as she ran on Wednesday. If she ran 21 miles altogether, how far did she run on Friday?

• 4 miles

• 7 miles

• 9 miles

• 11 miles

Two consecutive even integers have a sum of 94. What is the largest integer?

• 42

• 46

• 48

• 52

Find two consecutive odd integers such that the sum of the smaller and 3 times the larger is 330. What is the smaller integer?

• 83

• 75

• 87

• 81

The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers. (select both)

• 7

• -2

• 1

• -3

A train leaves Mooseport traveling west at 50 mph. One hour later, another train leaves Mooseport traveling east at 70 mph. How many hours had the first train been traveling when they were 350 miles apart?

• 2.5 hours

• 3.5 hours

• 4.5 hours

• 5 hours