Unit 1-Integer/Rational Number Operations
Sarah's savings account had $327.50. She deposited her birthday money of $125.75 and then withdrew $68.25 for a new game. What is her new account balance?
What is $385?
What are the two pieces of criteria needed when looking at a graph that you can determine a relationship is proportional?
Straight Line, Passes Through the Origin
16.8 is 14 % of What Number?
What is 120?
A theme park charges $35 to enter, $12 per ride ticket, and $5 per meal.
Write an expression for r ride tickets and m meals.
What is 35+12r+5m
11.98+3p=38.95 solve show all steps
p=8.99
The science club charges $4.50 per car at their car wash. Write and solve an inequality to find how many cars they have to wash to earn at least $300.
What is 4.50x>300?
and x>66.67 cars?
Michael has $475 for a gym membership. The gym membership is $37.50 per month. Will Michael have enough money to pay for the gym membership for a full year?
Yes he would have enough
You have the choice of two jobs. Job A pays 640 dollars for 42 hours but Job B pays 326 dollars for 22 hours. Which which one would pay more per hour? Round your answer to the nearest hundredth.
What is Job A?
Josh went go out to eat for lunch. His lunch cost $16.52 after tax it became $18.04, what was the percent tax included on the meal?
Round to the nearest whole percent
What is 9%
Players start with 200 points. They earn 5 points per game and 10 bonus points per win.
Write an expression for g games and w wins.
What is 200+10w+5g
Sarah bought 4 notebooks at the same price and a pencil case for $6. She spent $18 total. What is the price, n, of one notebook?
What is n=3?
Solve the following
4x+12<3
What is x<-2.25?
A hiker started at an elevation of 1,250 feet. She climbed up 875 feet, then descended 425 feet for lunch. After lunch, she climbed another 550 feet before descending 975 feet to her campsite. What is the elevation of her campsite?
What is 1275 feet?
A bear is walking on a trail he went 2/5 of a mile every 1/12 of an hour. What would be his rate per hour?
What is 4.8 mph?
Alex gave an extremely tough history test. Out of the 84 students that took it only 33 passed. What is the percent of students that took the test and failed.
What is ~61% of students failed?
Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea. Write an expression to represent the amount of tea leaves remaining after x days.
What is 450-3x
-5(s-30)=-10
what is s=32?
Solve the following
-3x+23>120
What is x<-32.33?
A baker uses 3/4 cup of sugar for each batch of cookies. If she has 5(1/4) cups of sugar, how many full batches can she make, and how much sugar will be left over?
What is 7 cups of sugar left over?
Potatoes cost 0.50 dollars per 1 pound if you were to buy 14 pounds of potatoes how much would it cost?
It would cost 7 dollars for 14 pounds of potatoes
A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.
What is a 25% Markup?
Joey is planting a rectangular garden. The length of the garden is (3x+8) ft long and the width is 4ft. What is the area of the garden?
What is 12x+32 square feet?
0.25(8x+56)=20 solve and show all steps
what is x=3?
Sylvie needs at least $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an inequality that can be solved to find h, Sylvie’s hourly earnings. And solve for how many hours she needs to work.
What is 16+10.5h>110.75
and h>9.02
A marathon is 26 miles long. The organizers of the marathon want to set up water stations every 1(1/5) miles how many water stations will they have? (Round to the nearest whole number)
What is 22 Water Stations?
At a groccery store the price of a watermelon is determined by how many pounds it weighs. If the price of a watermelon which weighs 5.4 pounds and costs 6 dollars. What is the equation that can be used to determine the price of any size watermelon? Use p for the price and w for the weight.
What is p=0.9w
A bank account earned $350 of simple interest after 4.5 years. If the interest rate was 3.2% how much was the principal?
What is $2430.55?
A rectangular garden has an area of 42+63x square meters. What is the longest possible width and dimensions of the garden?
What is 7m by (6+9x)m?
Eight friends attend a matinee movie and spent $8 per ticket. They also purchase a small bag of popcorn each. If the friends spend a total of $92.50, how much does each small bag of popcorn cost? Let p be the price of popcorn.
Write the equation and show all work
p=3.56?
Natalie budgets $146 for yoga training. She buys a yoga mat for $10.65 and pays $9 per yoga class. Write an inequality to represent the number of classes, c, that Natalie can take and stay within her budget.
What is 9c+10.65<146?
and c < 15.04?