Percentages
Convert 25% to a fraction and to a decimal.
25% = 1/4, 0.25
Simplify: 3(2x + 4) − 5x
x + 12
A spinner has 4 equal sections. What is the probability of landing on any one section?
1/4 or 25%
Compute: −6 + 11
5
If the ratio of cats to dogs is 2:5, how many dogs are there when there are 8 cats?
20
A jacket originally costs $80. It's on sale for 25% off. What is the sale price?
$60
Simplify: 2(x + 5) + 3x
5x + 10
A bag contains 3 red, 2 blue, and 5 green marbles. If one marble is drawn at random, what is the probability it is blue?
2/10 or 1/5
Compute: −3 − 7
-10
Find the unit rate: 3 miles in 1/2 hour. Express miles per hour
6 miles/hour
The school bake sale raised $600. If 30% goes to a charity, how much money is donated?
$180
Solve for x: 3x + 7 = 22
x = 5
Two coins are flipped. List the sample space and find the probability of getting exactly one head
Sample space: {HH, HT, TH, TT}.
Exactly one head: 2/4 or 1/2
Compute: (−4) × 3/2.
-6
Does the equation y = 4x represent a proportional relationship? Explain!
Yes because the y-intercept is (0,0) --> the line starts at the origin.
A student scored 42 out of 50 on a test. What percent did the student earn?
84%
Write an inequality and solve: "At least 4 more than 5 times a number is 29."
n ≥ 5
A die is rolled twice. Find the probability of rolling a 4 then a number greater than 3.
1/12
Compute: 7/8 ÷ 1/4
3.5 or 3 1/2
A recipe needs 2/3 cup sugar for 3 servings. How much sugar is needed for 8 servings?
1 and 7/9 cups
A population of 1,200 increases by 15% each year. What is the population after one year? (Round to whole number.)
1,380
A rectangle's width is 2x + 3 and it's length is 5. It's area is 60. Solve for x.
x = 4.5
You draw two cards from a standard deck without replacement. What is the probability both are hearts?
(13/52) × (12/51) = 156/2652 = 1/17
A temperature drops from 5°C to −12°C. What is the change in temperature?
−17°C (A drop of 17 degrees)
A map scale shows 1 inch = 15 miles. On the map, two towns are 3.6 inches apart. What is the actual distance?
54 miles