Square Roots
Solving Equations
Cube Roots
Solving Equations
Word Problems
100

What is the square root of 4?


2

100

15y – 14y = 18

y=18

100

What is the cube root of 125

5

100

10–5q = –3q

q = 5

100

When Edwin's parents are away celebrating their anniversary, he gets to sleepover for a week at his grandparents' house. Afterwards, Edwin decides to make his grandparents a photo album of their time together. There are 9 pages in the album. Edwin puts the same number of photos on each page, for a total of 63 photos.

7

200

What is the square root of 121?

11

200

17r – 13r = 20

r=5
200

What is the cube root of 8?

2

200

7v + 2 = 10 + 6v

v = 8

200

Sanjay's dad has asked Sanjay and his little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Sanjay isn't looking, his brothers empty 4 of the bags to make a giant leaf pile! Sanjay is frustrated that only 6 bags of leaves remain.

Solve this equation for b to find the total number of bags Sanjay and his brothers fill with leaves.


b=10

300

What is the square root of 81?

9

300

5q–4q = 9

q=9

300

What is the cube root of 512?

8

300

–6 + p + 9 = 8 – 4p

p = 1

300

The Sea & Sun Souvenir Shop is known for its specialty salt water taffy. Every week, Avery fills a gigantic jar with taffy to put in the storefront display. This week, she puts in 400 pieces of cherry taffy but still has more space to fill. Avery fills the rest of the jar with banana taffy, her favorite flavor. In all, Avery puts 850 pieces of taffy in the jar.


Solve this equation for b to find how many pieces of banana taffy are in the jar.


450 Pieces

400

What is the square root of 169

13

400

5s+2s+4s–5s = 6

s = 1

400

What is the cube root of 729?

9

400

–4h+10 =– 3h


h = 10

400


Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.

How much does Snowy Ridge charge for each hour of group snowboarding lessons?



$28

500

What is the square root of 900?

30

500

3t–t–t=14

t = 14

500

What is the cube root of 216?

6

500

–6 – 2n = 5n + 8

n = -2

500

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.

How many miles did Russell run each day after school?

4 miles

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