Algebra GLE # 14 Which number is NOT a perfect square? A. 49 B. 81 C. 110 D. 144 Eliminate A because 49 is the square of 7 Eliminate B because 81 is the square of 9 Eliminate D because 144 is the square of 12 The answer is C because 110 is NOT a perfect square.

Algebra GLE # 14 What is the square of 16? A. 196 B. 256 C. 296 D. 324 Solution: 16 x 16 = 256. The square of 16 is B (256).

Algebra GLE # 14 Which number is a perfect square? A. 37 B. 49 C. 88 D. 110 Solution: B because 49 is the square of 7

Algebra GLE #15 Which expression means 9 more than a number? A. 9n B. n + 9 C. 9 – n D. n ÷ 9 Eliminate A because it means 9 times more than the number. Eliminate C because it means subtract the number from 9 Eliminate D because it means the number divided by 9 The answer is B because it means the number plus 9 more, which is the same as 9 more than the number.

Algebra GLE # 15 Which expression means a number decreased by 10? A. 10 – n B. n ÷ 10 C. n – 10 D. 10n Eliminate B because you are not decreasing, you are dividing Eliminate D because you are not decreasing, you are multiplying Eliminate A because you are decreasing 10 by the number, not the number by 10 The answer is C because you are decreasing the number by 10

Algebra GLE # 15 Which phrase means n + 25? A. 25 less than the number B. 25 times more than the number C. the sum of a number and 25 D. the number divided by 25 Eliminate A because it would be n – 25 Eliminate B because it would be 25n Eliminate D because it would be n ÷ 25 The answer is C

Algebra GLE # 15 Javon sells plants for d dollars apiece. Write an expression for the cost of 5 plants. 5d or 5 x d

Algebra GLE # 15 Which equation says the cost of the sweater (s) is $10 more than the cost of the vest(v)? A. s + v = 10 B. s + 10 = v C. s = v + 10 D. 10 – v = s Eliminate A because it means the cost of the sweater and the vest equals $10 Eliminate B because it means the cost of the vest is equal to the sweater’s cost plus $10. Eliminate D because it means the cost of the sweater is equal to $10 minus the cost of the vest The answer is C because it means the cost of the sweater is equal to the cost of the vest plus $10 more.

Algebra GLE # 16 A machine makes 72 copies per minute. Write an expression for the number of copies in m minutes. Then, find how many copies can be made in 3.5 minutes. Solution: 72m If m = 3.5 minutes, then 72(3.5) = 252 copies

Algebra GLE # 16 Nicole is y years old. Her brother is 5 years younger than Nicole. Write an expression to determine the age of Nicole’s brother. If y (Nicole’s age) is equal to 12, how old is Nicole’s brother? Solution: y – 5 Brother’s age = y – 5 Brother’s age = 12 – 5 Brother’s age = 7

Algebra GLE # 16 Helena bought a pair of shoes for $46. She had $19 left. How much money did she have to begin with? Solution: x - $46 = $19 x - $46 + $46 = $ x = $65

Algebra GLE # 17 Nikki bought a bag of jelly beans. She divided the jelly beans equally among herself and three friends. Each person received 23 jelly beans. How many jelly beans, j, were in the bag? Solution: Set the problem up as an equation j ÷ 4 = 23 j ÷ 4 = 23 You want to get j by itself on one side of the equation. To do that you need to do the opposite operation. Whatever you do to one side of the equation, you MUST do the same to the other side of the equation. j ÷ 4 x 4 = 23 x 4 Dividing and then multiplying by 4 cancels the 4’s on the left side. j = 23 x 4 j = 92 There were 92 jelly beans in the bag.

Algebra GLE # 17 It costs $28 per day plus $0.16 per mile to rent a car. Julia’s charge for a one-day rental was $ How many miles did Julia drive? Solution: Set up the equation $28 + $0.16x = $69.60 $28 + $0.16x = $69.60 $28 - $28 + $0.16x = $ $28 $0.16x = $41.60 $0.16 x = 260 Julia drove 260 miles.

Algebra GLE # 17 Together, Zoe and Susan were planning to make 72 bracelets for a craft sale. Zoe made 26, then cut her finger and could not work anymore. Susan had to make twice as many bracelets as she originally promised to make. How many bracelets had Susan promised to make? Solution: x = – x = x = 46 2 x = 23 Susan promised to make 23 bracelets.