Rational Operations & Expressions
Subtract: −3/4 -5/8
- 1 3/8
Solve: t+11=−t−5
Answer: −8
Find the circumference of a circle with radius 12.
Answer: About 75.36
Find the y-intercept of:
y=3x−7
Answer: -7
Translate point (-2,5) right 4 and down 3.
Answer: (2,2)
Find the volume of a prism with dimensions 6, 6, and 4.
144 cubic units
Divide: −8.4÷0.7
Answer: −12
Solve: 12g−8<64
Answer: g<6
Find the area of a circle with diameter 20.
Answer: About 314
Graph:
y=−2x+1
Answer: Graph
Reflect point (6,-1) over the y-axis.
Answer: (-6,-1)
Find the surface area of a cube with side 9.
Answer: 486 square units
How many terms are in: 7x^2+2y−9+4ab
Answer: 4
Solve: 16/20=40/h
Answer: 50
Find the area of a triangle with base 20 and height 11.
Answer: 110 square units
Solve by graphing:
y=x+1
and
y=−x+5
Answer: (2, 3)
A figure changes from side length 3 to 15. Find the scale factor.
Answer: 5
Find the volume of a cylinder with radius 5 and height 4.
Answer: About 314 cubic units
Simplify: a^15 ÷ a^6
Answer: a^9
Find the unit rate:
945 miles in 9 hours
105 mph
Is a triangle with sides 7, 24, and 25 a right triangle?
Answer: Yes
Solve the system:
2x+y=9
x−y=0
Answer: (3, 3)
What transformation flips a figure across a line?
Reflection
Find P(rolling an even number) on a number cube as a percent.
Answer: 50%
Subtract in scientific notation:
(8.2×10^5)−(3.1×10^5)
Answer: 5.1×10^5
Write three equivalent ratios to 5:7.
Answer: Answers vary
Find the hypotenuse with legs 20 and 21.
Answer: 29
Is (3,4) a solution to:
y=x+1
and
y=4
Answer: Yes
What transformation changes the size of a figure but keeps the shape proportional?
Dilation
A bag has 5 red, 15 blue, and 20 green candies. Find P(green)P(\text{green})P(green)
1/2