Order Of Opereations
7+4×(9−5)
23
7+4×4
=7+16
=23
Solve for x,
4(x−2)=12
x = 5
4x−8=12
4x=12+8
4x=20
x=20÷4
Find the length of the hypotenuse of a right triangle with legs of 3 cn and 4 cm.
5 cm
Hypotenuse𝑐= square root of 𝑎2+𝑏2
=32+42
=9+16
=25
5 cm
What is the smallest prime number?
2
What is the name of the point in a coordinate plane where the x-axis and y-axis intersect?
Origin
32+4×2
17
9+4 x 2
9+8
=17
Solve for x,
3x+2=5x−6
x = 4
3x+2−3x=5x−6−3x
2=2x−6
2+6=2x
8 = 2x
x=8÷2
Find the circumference of a circle with a radius of 5 units.
10π units
C=2πr
=2π×5
=10π units
What is the greatest common divisor (GCD) of 24 and 36?
12
What is the term for an angle greater than 90 degrees but less than 180 degrees?
Obtuse Angle
23×(4+1)−6
34
8×5−6
=40−6
=34
Solve for x,
2(𝑥+3)−4=3(𝑥−2)+2
x = 6
2x+6−4=3x−6+2
2x+2=3x−4
2+4=3x−2x
6=x
Find the area of a parallelogram with a base of 7 units and a height of 3 units.
21 square units
A=base×height
=7×3
=21 square units
What is 45% of 80?
36
What is the name of a segment connecting two non-adjacent vertices of a polygon?
Diagonal
(8−3)×(22+1)
25
5×(4+1)
=5×5
=25
Solve for x,
5𝑥−3(2𝑥+1)=4
x = -7
5x−6x−3=4
−x−3=4
−x=4+3
−x=7
x=−7
Find the volume of a cone with a radius of 3 units and a height of 4 units.
12π cubic units
𝑉=1/3𝜋𝑟2ℎ
=1/3𝜋×32×4
=1/3𝜋×9×4
=12𝜋
=12π cubic units
What is the least common multiple (LCM) of 12 and 18?
36
Which quadrilateral has exactly one pair of parallel sides?
Trapezoid
(12−3)÷(2+1)×4−22
8
9÷3×4−4
=3×4−4
=12−4
=8
Solve for x,
2𝑥+13=4𝑥−253
x=5.5 or x=11/2
Cross-multiply to get 5(2x+1)=3(4x−2) 10x+5=12x−6
5+6=12x−10x
11=2x
x=11/2
Find the surface area of a sphere with a radius of 7 units.
196π square units
SA=4πr2
=4π×72
=4π×49
=196π square units
What is the sum of the first 50 positive integers?
1275
What is the term for a line that touches a circle at exactly one point?
Tangent