Ratios & Proportions
Mika read a 405-page book in 6 hours. How many pages per minute did she read?
1.125 pages per minute
Simplify the following expression 18x + 12 - 4
18x + 8
Solve three times a number minus eight is equal to ten. What is the number?
The number is 6
At Matthew's Hats, 20% of the 90 hats are baseball caps. How many baseball caps are there?
There are 18 baseball caps
Solve: -10 - 1
-11
In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?
2 inches a month.
Start with 2/3.
Multiply by -1.5 and then add 4.
What is the final value?
3
Three sisters are getting new outfits. Shirts cost $11 each, skirts cost $25 each, and shoes cost $44 a pair. What is the total cost of the new outfits for all of the sisters?
The total cost of the new outfits for all of the sisters is $240
To celebrate the first day of school, Dirk brought in a tray of caramel brownies and walnut brownies. The tray had a total of 30 brownies, of which 90% were caramel. How many caramel brownies did Dirk bring?
Dirk brought 27 caramel brownies
Solve: (-15) + (-12) =
-27
Raphael went to the store and bought 2.5 pounds of chicken for $9.00. What was the cost per pound of the chicken? Round your answer to the nearest CENT, if necessary.
$3.60 per pound.
Start with 6.
Divide by 2/5 and then subtract 7.4.
What is the final value?
7.6
Khaleel walks into a snack bar with exactly $20.00. He buys five bottles of water that cost $1.28 each and a pack of gum that costs $0.80. The snack bar prices include sales tax. After he pays and receives his change, Kahleel's friend Anna gives him half the cost of the water bottles. How much money does he have now?
He has $16
The sixth-graders at Mia's school got to choose between a field trip to a museum and a field trip to a factory. 25% of the sixth-graders picked the museum. If there are 40 sixth-graders in all at Mia's school, how many sixth-graders went on the trip to the museum?
10 sixth-graders went on the trip to the museum
Solve: 1 - (-8)
9
Eric is baking a cake. The recipe calls for 2.5 pounds of flour for every 0.25 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
10 pounds of flour
What is the value of the expression if x = –10 and y = –2?
3x2 – 1 + y =
297
Bob bought a broken motor scooter, repaired it, and sold the scooter for $130. That was $50 less than 1.5 times what he paid for it.
What is the amount of money Bob initially paid for the broken scooter?
Bob paid $120 for the broken scooter
A candy bar cost the store $0.79. Find the price of the candy bar if it is sold with a 65% mark up.
The candy bar cost $1.31
Solve: -12 - (-3) =
-9
Eckhart School is selling candy to raise money for its sports programs. Last year the school raised $480 during a 12-day fundraiser. The school expects this year's daily sales to be in proportion to last year's daily sales. Based on the school's expectations, how much will they raise in 16 days?
In 16 days, the school will raise $640.
Simplify 8x + 3(x + 5) - 5(x - 4)
6x + 35
Kayla buys 5 candles for x dollars each and 5 candle holders for $3.50 each. Kayla spends a total of $27.50 for the candles and candle holders. What was the cost, in dollars, of one candle.
One candle cost $2
A lawnmower that regularly sells for $150 is on sale for $120. By what percentage was the price decreased?
The price decreased by 20%
Jalal notices the temperature outside at sunrise is –6 °F. An hour later, the temperature is 12 °F. What was the change in temperature?
12 – (–6)
12 + 6
= 18