Rational Numbers
Proportions & Percents
2D & 3D Geometry
Algebra
100
Tristan has a robo-submarine that is currently at a depth of -438 feet. If the submarine travels towards the surface at a speed of 12 feet per minute, what will its depth be after half an hour?
NO CALCULATOR
It will be at -78 feet
100
The table below shows a proportional relationship. Write an equation for the table.
y = 2/3x
100
Do these side lengths form a true triangle?
11.2 ft, 18.5 ft, 13.1 ft
In order to form a true triangle, the 2 smaller sides must have a sum greater than the longest side
11.2 + 13.1 > 18.5
Yes, it forms a true triangle
100
Solve
12 = 4(x + 5)
x = -2
200
Evaluate
(-25 + 5) ÷ 5 - 21
NO CALCULATOR
-25
200
Sue is filling a tub. The height of the water in cm, is directly proportional to the time it takes in seconds to fill the tub.
How high would the water be after 20 seconds?
It would be 140 cm high
200
Write and solve an equation for x
7x + 96 = 180
x = 12
200
Simplify the expression
-7x^2-6x+10x^2-3-2x
3x^2-8x-3
300
Lamar just received a deposit of $51.35 today. His bank account now has a balance of $45.24.
What was his account balance yesterday?
NO CALCULATOR
He had -$6.11 in his account yesterday
300
The graph shows the amount of protein in a certain brand of peanut butter.
Determine the constant of proportionality and describe the meaning of the point (6,30) on the graph?
k = 5 (5 grams of protein per tablespoon)
There are 30 grams of protein in 6 tablespoon of peanut butter
300
r = 8 ft
Find the circumference of the circle, use 3.14 for pi
c = 2pir
c = 50.24 ft
300
Write the perimeter of the rectangle as an algebraic expression
12x - 10
400
Your parents give you $14 to go to the arcade. It costs $2.75 to get in and each game costs $1.25.
After paying the entrance fee, how many games can you play?
NO CALCULATOR
You can play 9 games
400
The graph shows the relationship between the number of pages printed (x) at a print shop and the total price (y). Write a proportional equation that represents the graph, describe what k means in this context.
y = 0.50x
It costs $0.50 per page
400
Write and solve an equation for x given that angle ABC is a straight angle
9x = 180
x = 20
400
Expand and simplify
-6( 3x + 2) - 8( x - 10)
When expanded:
-18x - 12 - 8x + 80
The final solution is:
-26x + 68
500
A sea gull was spotted at a depth of 10 and 2/5 feet below sea level in the ocean. After catching a fish, it increased its elevation by 12 and 3/10 feet.
What is the sea gull’s final elevation?
NO CALCULATOR
-1 9/10 feet
500
Jason jogged at a constant rate for 10 ½ minutes and traveled ¾ mile. What is his rate of speed?
NO CALCULATOR
1/14 miles per minute
OR
14 minutes per mile
500
d = 4.6 meters
Find the area of the circle, rounded to the nearest tenth
A = pi(radius)2
A = 16.6 m2
500
Solve
– 3(3x + 4) + 15x = 6
– 3(3x + 4) + 15x = 6
-9x - 12 + 15x = 6
6x - 12 = 6
x = 3
600
Two friends who live in different places were comparing temperatures in their hometown. Their results are in the table below.
NO CALCULATOR
What was the difference between the 9 pm temperatures in Addison and Kinley's hometowns?
Kinley's hometown was -14 degrees, Addison's hometown was -4 degrees. The difference in temperature is 10 degrees.
600
During a rainstorm, 1/10 inch of rain fell in the first 1/6 hour. If the rain continues to fall at a steady pace, how much total rain will fall in 2 and 1/2 hours?
1 and 1/2 inches of rain
600
Suppose the angles (x+3) and (2x+3) are complementary angles.
What is the value of x+5?
(x + 3) + (2x + 3) = 90
3x + 6 = 90
x = 28
If x = 28, then x + 5 = 33
600
Harry collected a, apples. Francine collected 5 less than twice the number of apples Harry collected.
They collected a total of 16 apples altogether.
Write and solve an equation to represent how many apples Harry collected.
Harry = a
Francine = 2a - 5
Combined = 3a - 5
3a - 5 = 16
a = 7