The Number System
What is the greatest common factor of 15 and20?
5
For every 3 girls in Ms. Harmon's 4th period math class there are 5 boys. What is the ratio of girls to boys written two different ways?
3 to 5, 3:5 3 girls to 5 boys or 3/5
Simplify.
3 x 5 - 2 + 8
21
t = 4
t + 8 = 10
False
Determine if the given value for x will make the inequality true.
x = 5
x < 8
True
5 < 8
What is the absolute value of -7?
7
Determine if the ratios below are equivalent. Show your work.
5/10 and 1/6
no
Simplify without using a calculator.
(8 + 3) - 5 x 2
1
Solve for m in the algebraic equation below.
m - 45 = 88
m = 133
Determine if the given value for m will make the inequality below true.
m = -5
m > -4
False.
-5 < -4
Mr. Chase goes to Don's Deli. Every third visit to Don's Deli he receives a free soda. Every fourth visit to Don's Deli he receives a free hoagie. What is the first visit that Mr. Chase will receive both a free soda and free hoagie?
12th visit
Ms. Russo is making cookies for Christopher's birthday party. For every 3 cups of sugar she uses 2 cups of chocolate chips. If Ms. Russo uses 9 cups of sugar, how many cups of chocolate chips should she use?
6 cups of chocolate chips
Evaluate the expression for x = 8.
4x + 6
38
Solve for y in the algebraic equation below.
y/4 = 32
y = 128
Describe what the graph would look like for the inequality below.
x > 7
An open circle at 7 pointing to the right.
A baker wants to put 1 3/4 pounds of apples in each pie she makes. She purchased 12 1/2 pounds of apples. How many pies can she make?
7 pies
2.1
Write an algebraic expression to represent the word phrase below. Then evaluate the expression for y=3
4.5 less than y
y - 4.5
-1.5
Mr. Logan went golfing with 3 friends. They brought with them 36 golf balls and split them evenly amongst themselves. Write an equation to represent this situation then solve to determine the number of golf balls each person received.
4x = 36
x = 9
answer may vary
Write an inequality to represent the situation.
8 groups of x is less than or equal to 12
8x < or = to 12
Without a calculator. Find the quotient of 52 3/4 and 3 1/4.
16 3/13
Randi's school requires that there are 2 adult chaperones for every 18 students when the students go on a field trip to the museum. If there are 99 students going to the museum, how many adult chaperones are needed?
11 chaperones
The difference in meters that Sydney runs during track practice is equal to 400t + 100s, where t is equal to the number of laps and s is equal to the number of sprints. How far does Sydney run when she does 3 laps and 8 sprints?
2,000 meters
Ms. Ciccone is putting in a garden in the shape of a parallelogram in her backyard. The area of her garden is 25.25 square feet. The base of her garden is 5 feet. Write an equation to represent this problem. Then, use your equation to solve for the height of her garden.
25.25= 5h
h = 5.05 feet
Answer may vary
Write and graph the inequality described below.
-3 is greater than or equal to x
-3 > or = to x
A closed circle at -3 pointing to the left.