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Algebra Questions & Answers For 8th Grade
Algebra questions and answers suitable for 8th Grade students. The questions are Common Core aligned and follow the framework as set out. Available to see visually online. To utilise the PDF version please click the ‘Download PDF’ option.
Completely free to use and download. For more comprehensive end of 8th Grade question booklets please see our end of year test booklets.
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Solve for x: 2^(3x - 1) = 8.
a) x = 2/5
b) x = 1/3
c) x = 3/2
d) x = 4/3
Correct Answers : d)
Simplify the expression: (5x^2)(3x^3).
a) 15x^5
b) 8x^5
c) 15x^6
d) 8x^6
Correct Answers : a)
If 4√x = 8, what is the value of x?
a) x = 4
b) x = 16
c) x = 64
d) x = 256
Correct Answers : a)
Evaluate 10^3 ÷ 10^(-2).
a) 100
b) 10
c) 1,000
d) 100,000
Correct Answers : d)
If 2^(2y) = 16, what is the value of y?
a) y = 1
b) y = 2
c) y = 3
d) y = 4
Correct Answers : b)
David wants to estimate the total number of grains of sand on a beach using algebraic expressions. He knows the beach is 100 meters long and 50 meters wide. Each square meter contains about "g" grains of sand. Which algebraic expression represents David's estimate of the total number of grains of sand on the beach?
a) 10,000g
b) 5,000g
c) 50,000g
d) 100g
Correct Answers : c)
Sarah plans to download an app and make several in-app purchases. The app store charges a $5 fee to download the app and an additional $0.99 for each in-app purchase. If she spends a total of $15 on the app and in-app purchases, how many in-app purchases (represented by "x") did she make?
a) 5 in-app purchases
b) 10 in-app purchases
c) 15 in-app purchases
d) 20 in-app purchases
Correct Answers : b)
Jessica invested some money in two different accounts. She invested $2,000 at a 5% annual interest rate and $3,000 at a 3% annual interest rate. How much interest did she earn after one year? (Assume simple interest)
a) $150
b) $170
c) $175
d) $190
Correct Answers : d)
A bookstore sells two types of books: fiction and nonfiction. The ratio of the number of fiction books to nonfiction books is 3:5. The store has a total of 200 books. The store owner decided to increase the number of fiction books by 20% and decrease the number of nonfiction books by 15%. How many of each type are there after the changes?
a) 90 fiction books and 106 nonfiction books
b) 85 fiction books and 116 nonfiction books
c) 78 fiction books and 132 nonfiction books
d) 94 fiction books and 98 nonfiction books
Correct Answers : a)
A coffee shop offers two sizes of coffee, small and large. The small coffee costs $2, and the large coffee costs $3. A customer purchased a total of 5 coffees and spent $13. How many small coffees and how many large coffees did the customer buy?
a) 2 small coffees and 3 large coffees
b) 3 small coffees and 2 large coffees
c) 1 small coffee and 4 large coffees
d) 4 small coffees and 1 large coffee
Correct Answers : a)