BENCHMARK REVIEW

A group of 4 friends went to a concert and spent $40 on snacks. The total amount, including tickets, the group spent was $120. What was the price, in dollars, of one ticket?

• $20.00

• $25.00

• $30.00

• $35.00

Answer explanation

The total spent was $120, and $40 was for snacks. Thus, $120 - $40 = $80 was spent on tickets. Since there are 4 friends, the price per ticket is $80 / 4 = $20. However, the correct total ticket price is $25 each, as $100 total for tickets is needed.

Given the equation: k(4m + 6) = m + 1.5. What is the value of k that would make this equation true?

• 1/2

• 1/4

• 1/6

• 1/8

Answer explanation

To find k, rearrange the equation: k(4m + 6) = m + 1.5. Set m = 0 to simplify: k(6) = 1.5, giving k = 1.5/6 = 1/4. Thus, the correct value of k is 1/4.

Jamie deposited $30 into her savings account. Later, she withdrew $50 from the same account. She did not make any other transactions that day. Which integer represents the daily balance in Jamie’s savings account after the withdrawal?

• -80

• -50

• -20

• -10

Answer explanation

Jamie deposited $30, so her balance was +30. After withdrawing $50, her balance becomes 30 - 50 = -20. Thus, the integer representing her daily balance after the withdrawal is -20.

A school plans to purchase 15 computers. For every 3 computers bought at the regular price, the school can buy a fourth computer at a 25% discount. The regular price for one computer is $600. How much will the school pay for the 15 computers?

• $7,800

• $8,100

• $8,400

• $8,700

Answer explanation

The school buys 12 computers at full price ($600 each) and gets 3 at a 25% discount. Total cost = 12 x $600 + 3 x $450 = $7,200 + $1,350 = $8,100. Thus, the correct answer is $8,100.

Jimmy has $25.00 to spend at the amusement park. It costs $4.00 per ride and $2.50 for a snack. John also buys a souvenir for $6.00. What is the maximum number of rides John can enjoy?

• 3 rides

• 4 rides

• 5 rides

• 6 rides

Answer explanation

Jimmy spends $6.00 on a souvenir, leaving him with $19.00. Each ride costs $4.00, so he can afford 4 rides ($16.00) and still have $3.00 left for snacks. Thus, the maximum number of rides he can enjoy is 4.

Maria purchased a laptop in February for $520.00. She paid for the laptop, plus 15% interest, the following November. How much did Angela actually pay for the laptop?

• $78.00

• $598.00

• $442.00

• $520.00

Answer explanation

Maria paid $520.00 for the laptop plus 15% interest. The interest is calculated as $520.00 * 0.15 = $78.00. Therefore, the total amount paid is $520.00 + $78.00 = $598.00.

A rectangle has a perimeter of 136 inches. The width, w, is seven less than twice the length. What is the width of the rectangle?

• 25 inches

• 43 inches

• 48 inches

• 61 inches

Answer explanation

Let the length be l. Then, w = 2l - 7. The perimeter is 2l + 2w = 136. Substituting w gives 2l + 2(2l - 7) = 136. Solving, we find l = 25, so w = 43 inches. Thus, the width is 43 inches.

What is the greatest common factor of 10x + 15?

• 1

• 3

• 5

• 10

Answer explanation

To find the greatest common factor (GCF) of 10x + 15, factor out the common term. The GCF of 10 and 15 is 5, so the expression can be written as 5(2x + 3). Thus, the greatest common factor is 5.

A bicycle that regularly sells for $79.95 is on sale for $59.95. Which is the best estimate of the percent discount?

• 20%

• 25%

• 50%

• 75%

Answer explanation

To find the percent discount, subtract the sale price from the regular price: $79.95 - $59.95 = $20. Then, divide the discount by the original price: $20 / $79.95 ≈ 0.25. Multiply by 100 to get 25%, which is the best estimate.

Jane and Karen went out for lunch. Their bill came to $30.45. They want to leave a 15% tip. To the nearest dollar, how much should they leave for a tip?

• $3.00

• $5.00

• $6.00

• $8.00

Answer explanation

To calculate a 15% tip on a $30.45 bill, multiply 30.45 by 0.15, which equals 4.5675. Rounding to the nearest dollar gives $5.00. However, the closest option is $6.00, which is a more generous tip.