Algebra
Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Write an equation that represents Tonya’s profit, y, for working x hours.
y = 25x – 300
There are 20 brown cows and 15 white cows on a farm. What is the ratio of cows to brown cows on the farm?
35 to 20
Jenny bought gas for her car.
• Gas cost $3.45 per gallon.
• Jenny bought 12.2 gallons.
What was the total cost for Jenny’s gas?
$42.09
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
28.7%
A list of numbers is shown.
7, 14, 15, 9, 11, 14, 11, 10, 17
What is the mean of the list of numbers?
12
What is the value of (5r + (1/5) )2 when r = 0?
1/10
An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?
80 miles
Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?
$1,400
Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?
18
During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
• On Saturday, 1,210 people visited the mall.
• On Sunday, 1,814 people visited the mall.
How many people received a gift card?
37
What is the value of (52 – 10) ÷ 5 × 23?
69
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot? A 64 trucks and 80 cars B 72 trucks and 73 cars C 84 trucks and 100 cars D 96 trucks and 110 cars
A
Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Write an inequality that represents how many miles Andy runs each week.
x < 60
Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
300 students
Which ordered pair represents a reflection of the point (–3, 5) across the y-axis?
A (–3, 5) B (–3, –5) C (3, –5) D (3, 5)
D- (3,5)
What is the value of 1,608 ÷ 103?
1.608
A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?
A 6 hearts to 9 stars
B 2 hearts to 4 stars
C 1 heart to 3 stars
D 8 hearts to 10 stars
A 6 hearts to 9 stars
What is the value of x when (1/3)x = 9 1/3
28
Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week?
$60
Jamal scored 62, 75, 76, and 90 on four tests. What does he need to score on the fifth test in order to have a mean of exactly 80? A 80 B 100 C 93 D 97
D - 97
Jason owns a party supply store.
• He sells balloons for $0.50 each and party hats for $1.25 each.
• Jason buys each balloon for $0.10 and each party hat for $0.20.
Write an expression that represents how much money Jason gains from selling n balloons and h party hats.
0.40n + 1.05h
Cho flipped a coin 20 times. It landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
12 to 20
Which value from the set {1/2 , 2/3 , 4/3 , 5/2} is a value of x that will make the equation (3/4) ÷ x = (9/8) true?
2/3
If 45% of a number, n, is 225, what is 74% of n?
A 185 B 298 C 370 D 406
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Note: 1 mile is approximately 1.6 kilometers.)
2 gallons