Algebra Spiral Review

Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4. What inequality does Hank use to determine how many toy cars, c, he must sell to make a profit of at least $50?

• 34c ≤ 50 

• 34c ≥ 50 

• 4c + 30 ≤ 50 

• 4c − 30 ≥ 50 

If x represents a given number, the expression “5 less than twice the given number” is written as 

• 5 < 2x

• 5 < 2 + x

• 2x - 5

• 5 - 2x

Hector spent $17 for a tube of paint and 5 brushes. The tube of paint cost $8. Which equation can be used to find b, the cost of each brush?

• 17 = 5b + 8

• 17 = 8b + 5

• 17b = 5 + 8

• 17 = b + 5 + 8

Stacy starts a savings account with $15. Each month she deposits $10 more into her account. Stacy now has saved $75.  Which equation can be used to determine how many months, m, Stacy has deposited money into her savings account?

• 10m · 15 = 75 

• 15m · 10 = 75 

• 10m + 15 = 75 

• 15m + 10 = 75 

Ms. Snyder wants to buy a television at an electronics store. All televisions at the store are 3/4 of the original price, p.  She has a $40 discount coupon she will use during the sale. Which equation should Ms. Snyder use to find the final price, f, of a television? 

• f = 0.75(p - 40)

• f = 0.25(p - 40)

• f = 0.25p - 40

• f = 0.75p - 40

Which inequality represents the statement below?

  One more than 2 times n is greater than 21. 

• 2n > 21

• 1n + 2 > 21

• 2n + 21 > 1

• 2n + 1 > 21

Mr. Hall has $216 to spend on supplies for his classroom. He will buy a bookshelf and some books. The bookshelf costs $81. He will buy books that cost $3 each. Which inequality can be
used to find all the possible numbers of books (x) that Mr. Hall can buy? 

• x ≤ 45

• x ≥ 45

• x ≤ 99

• x ≥ 99

An author receives $0.75 for each hardcover book or paperback book that is sold. There were x hardcover books and 42,000 paperback books sold of her most recent book. The author received a total of $60,000 for the book sales. The equation below can be used to determine the number of hardcover books that were sold.
0.75(x + 42,000) = 60,000
How many hardcover books were sold?

• 18,000

• 24,000

• 28,500

• 38,000

The bottles of juice that Craig usually buys each have x ounces of juice in them. Another company makes bigger bottles of juice that each have 10% more juice in them than the bottles that Craig usually buys. Craig buys 8 bottles of the bigger size. The total amount of juice, in ounces, he buys is represented by the expression shown below.
8(x + 0.1x)
Which expression also represents the total amount of juice, in ounces, Craig buys?

• 0.8x

• 1.8x

• 8.1x

• 8.8x

Identify the property shown.

• Distributive Property

• Commutative Property of Addition

• Associative Property of Addition

• Addition Property of 0