Rational Numbers
- 3 x 1 7/8
-2.625
Write an expression: subtract 2 from p, then add 10 to the result
p-2+10
Solve for n:
17 = (n/3) + 14
n = 9
What does it mean for a relationship to be proportional?
When it increases or decreases at the SAME RATE (constant unit rate, constant of proportionality, etc.)
How long has Mrs. Thompson worked at WMS?
3 years
5.18 + (-3.46) - 2 1/4
-0.53
Write an expression: raise n to the 3rd power, then find the quotient of the result and m
n3 / m
Solve for n:
18 = 2(n + 2)
n = 7
Name the TWO qualifications a graph must have to show a proportional relationship.
1) passes through the origin, 2) straight line
What is Mrs. Thompson's favorite color?
The temperature on February 2 in Lake City was 14 degrees Fahrenheit. The temperature in Ellenville the same day was -6 degrees Fahrenheit. How much warmer was it in Lake City than Ellenville?
20 degrees Fahrenheit
Mark bought s sheets of stickers. There are 9 stickers on each sheet. Write an expression that shows how many stickers Mark bought.
9s
Solve for p.
3p+2≤8
p≤2
Find the constant of proportionality.
x: 3, 5, 8
y: 18, 30, 48
k = 6
What is Mrs. Thompson's favorite animal?
Penguin
Amanda is playing her new video game, Track Runner. At first, she earned 20 points for winning a sprint. Then in the next raise, she got -25 points when she knocked over most of her hurtles. What is Amanda's score total now?
-5
Write an expression equivalent to 6(2j–6)–3j
9j-36
Solve the inequality and graph the solution.
2c+8≥4
c≥-2
Number line starts at -2 with a CLOSED circle, pointing to the RIGHT
Roxanne is measuring the diameter and the radius of different-sized circles. Imagine a graph showing the proportional relationship between the radius of the circle in inches, x, and the diameter of the circle in inches, y. What the point (4,8) represent in this scenario?
If the radius is 4 inches, the diameter is 8 inches
What month was Mrs. Thompson born?
October
Clara and her family are vacationing in the Netherlands. They began a tour of the North Sea coastline at an elevation of –8 feet. By the end of the tour, their elevation had decreased by 5 feet. What was their elevation at the end of the tour?
-13 feet
Write an expression equivalent to –2(9z+1)–6
-18z-8
Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles. Write and solve an equation that Russell can use to find how many miles, x, he ran each day after school.
5(x+2) = 30
x = 4
There is a proportional relationship between the number of hours Sebastian has charged his phone, x, and the number of hours he can use his phone, y.
x (hours charged): 2, 3, 4, 5
y (hours used): 6, 9, 12, 15
Write an equation to show the relationship between hours charged and hours used. (y = kx)
y = 3x
What's Mrs. Thompson's favorite fast food?
Chick-fil-A