6th
7th
8th
Algebra
Word Problems
100

Which expression is NOT equivalent to 48 + 72? 

a. 8(6 + 9) 

b. 12(4 + 8) 

c. 3(16 + 24) 

d. 4(12 + 18)

 b. 12(4 + 8)

100

Approximately how much fencing is needed to enclose a circular pond with a diameter of 12.5 feet? 

a. 122.66 ft 

b. 19.625 ft 

c. 78.5 ft 

d. 39.25 ft

d. 39.25 ft

100

Dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with coordinates (−1, 3), (−3, 2), and (−4, 2). Which rule describes the transformation? 

a. (x, y) → (−x, y) 

b. (x, y) → (x, −y) 

c. (x, y) → (x − 2, y) 

d. (x, y) → (x, y − 2)

a. (x, y) → (−x, y)

100

Determine the value of h.


2(3-h)-6=-5h

h=0

100

Five times a number increased by seven is equal to forty-seven. What is the number?

𝑥 = 8

200

An art store orders 3 large marker boxes for every 8 small marker boxes. Which ratio could represent the number of large marker boxes to small marker boxes in an order from the art store? 

a. 10 : 24 

b. 8 : 13 

c. 15 : 40 

d. 6 : 14

c. 15 : 40

200

What is the decimal equivalent of  39/50? 

a. 0.708 

b. 0.78

c. 1.‾28205

b. 0.78 

200

Jackson sells toolboxes for farming tools. He plans on selling them during a fair this weekend. Jackson estimates he will sell the boxes for $30 each with an additional shipping fee of $10, regardless of order size. Which equation best represents this situation? 

a. y = −30x − 10 

b. y = 30x + 10

c. y = −30x + 10 

d. y = 30x − 10

b. y = 30x + 10

200

Determine the value of k. (Hint: answer may be in fraction form)


-6k + 1 = -2 + 7k

k = 3/13

200

Ninety-six golf balls were picked up at the driving range and placed into two buckets. One bucket has twenty-eight more golf balls than the other bucket. How many golf balls are in each bucket?

y = 62

300

The expression shown can be used to show the value of an investment. 5(−3) + 24 ÷ (−3) + 6 What is the value of this expression?

 a. –17

b. –29 

c. –7 

d. 3  

a. –17

300

A study of a population of 800 parrots revealed that 2 out of every 25 parrots were yellow-headed parrots. Based on the results of this study, how many parrots in the population are yellow-headed parrots? 

a. 10,000 

b. 64

c. 32 

d. 16

b. 64

300

What is the solution to the equation  2x − 5 = 19 − 6x?

x=3

300

Determine the value of b.


1+ 2b = 4b + 9

b = -4

300

The sum of three consecutive integers is forty-two. Find the three numbers.

13,14,15

400

Rosita showed students part of the prime factorization of 150. Two factors are missing. What factors complete this prime factorization?

2 x 3 x 52

400

A circle with a radius of 16 centimeters is inscribed in a square. Which measurement is closest to the area of the shaded region in square centimeters?

220.16 cm2

400

The distance from Earth to the nearest star is 40,208,000,000 kilometers. How is this number of kilometers written in scientific notation? 

a. 40,208 X 106

b. 40.208 X 109 

c. 4.0208 X 109

d. 4.0208 X 1010 

d. 4.0208 X 1010

400

Determine the value of v.


3 + v = 2(2v - 1)

v = 1 2/3

400

There are s bikes in a parking lot. How many wheels will they have in total?

4s

500

Rosita showed students part of the prime factorization of 150. Two factors are missing. What factors complete this prime factorization? 

a. Michelle needs to earn more than 25 points to get an A in math. She has 14 points already. How many more points does she need to earn more than 25 points? 

b. There are 25 students in band. There are 14 students in choir. How many students are in band and choir in all? 

c. Randy bought new gloves and a hat for $25. The gloves cost $14. What is the cost of the hat? 

d. Howard is reading a book. For 14 days, Howard reads 25 pages per day. How many pages does Howard read in all?

c. Randy bought new gloves and a hat for $25. The gloves cost $14. What is the cost of the hat?

500

A birthday party at the skating rink costs $60 to reserve a party area and $2.50 per guest for skating and skate rental. How much will a party cost if 15 guests are invited? 

a. $62.50 

b. $67.50 

c. $97.50

d. $98.50

c. $97.50

500

12r + 5 + 3r − 5

15r

500

Determine the value of y.


-2(4+3y) = -2(4+y)

y = 0

500

In a class of c kids, 2/5th are girls. How many are boys?  

3/5