7th Grade Numbers & Operations
Simplify: 3/4+1/2
5/4
Solve: x+5=12x
5/11 = x
Identify the slope and y-intercept: y=−4x+7
Slope = -4
y-Intercept = 7
What is the sum of the interior angles of a triangle?
180 degrees
Sarah buys 3 notebooks at $2.50 each. What is the total cost?
$7.50
Convert 45% to a fraction in simplest form
45/100 or 9/20
Given the equation y=2x−3
What is the slope?
m= 2
Factor: x2+5x+6
(x+2) (x+3)
Identify the type of triangle with angles: 90°, 45°, 45°
Isoceles Triangle
If a car travels 180 miles in 3 hours, what is its speed?
60 mph
A sweater originally costs $40. It's on sale for 25% off. What’s the sale price?
$30
Two triangles are similar. One side of Triangle A is 5 cm, and the corresponding side of Triangle B is 10 cm. What is the ratio of similarity?
2/1
Solve: x2=49
x = 7
Find the area of a circle with radius 6 cm
(use pi = 3.14)
113.04 cm2
A rectangular garden is 10 ft by 6 ft. How much fencing is needed to go around it?
32 ft
Order these from least to greatest: 2/3, 0.65, 5/8
5/8 .65 2/3
If y varies directly with x, and y=15 when x=3, what is the equation?
y=5x
Given the quadratic: y=x2−4x+3
What are the roots?
A triangle has sides 3 cm, 4 cm, and 5 cm. Is it a right triangle?
yes because 32+42=52
A cylinder has a radius of 4 cm and a height of 10 cm. What is the volume? (Use pi = 3.14)
502.4 cm3
If a number is increased by 30% and the result is 78, what was the original number?
60
Solve: 3(x−4)=2x+6
x = 18
Simplify: (2x+3)2
4x2+12x+9
Use the Pythagorean Theorem: If one leg is 9 and the hypotenuse is 15, find the other leg.
Missing side is 12
A store marks up an item by 60% from its cost of $25. What is the selling price?
$40