Evaluating Expressions
Geometry
Converting Units
Circle Problems
Integers
100

ab - bc if a = 8, b = -2, and c = -4 

(8)(-2) - (-2)(-4) = -16 - (8) = What is -24?

100

If the area of a rectangle is 51 inches, and its length is 17 inches, what is its width?

What is 3 inches?

100

Convert 20 feet to inches.

What is 240 inches?

100

If the radius of a circle is 3 yards, what is the area of the circle?

A = pi*3 squared = (9 pi) yards squared OR approx. 28.26 yards squared

100

What is the reciprocal of -1/3?

What is -3?
200

xyz + xy2 if x = -2, y = -3, and z = -4

(-2)(-3)(-4) + (-2)(-3)2 = -24 + (-2)(9) = -24 + (-18) =What is -42?

200

Scalene Triangle?

What is a triangle with sides of all different lengths?

200

Convert 3 miles to inches

3 miles * (5280 ft/1 mile) * (12 in/ft) = 3*5280*12 inches OR 190080 inches

200

The radius of a circle is 3 yards, what is the circumference of the circle?

C = 2*pi*r = 2*pi*3 = (6 pi) yards or approx. 18.84 yards

200
What is the sum of any nonzero real number and its additive inverse?

What is zero?

300

-r + (rs)2 - rs2 if r = -3 and s = -2

-(-3) + (-3*-2)2 - (-3)(-2)2= 3 + (62) - (-3)(4) = 3 + 36 - (-12) = 3 + 36 + 12 = What is 51?

300

If the measures of two angles of a triangle equal 43 and 27 degrees, what is the measure of the third angle?

What is 110 degrees?

300

Convert 80 centimeters to millimeters (1 meter = 100 cm, and 1000 mm = 1 meter)

80 cm * (1 m/100 cm) * (1000 mm/1 m) = 800 mm or (80*1000/100) mm

300

If a circle has a radius of x, and then the radius is tripled, by how much has the area changed?

The area has increased by 9 times
300

What sign is my product if I multiply 9 negative numbers together? 

What is "The product is negative"?
400

a(cd)2 - |cd - 2b| - a3 if a = -1, b = 0, c = -2, and d = 2

(-1)*(-2*2)2 - |-2*2 - 2*0| - (-1)3 = (-1)*(-4)2 - |-4-0| - (-1) = (-1)(16) - |-4| + 1 = -16 - |-4| - (-1) = -16 - 4 + 1 = What is -19?

400

The base of a triangle is 25 cm and height is 12 cm. If I have two of these triangles, what is their total area?

What is 300 square cm?

400

Convert 144 square inches to square feet 

144 sq. in * (1 ft./12 in) * (1 ft./12 in) = 1 square ft

400

If the area of a circle is (121 pi) meters squared, what is the diameter of the circle?

Diameter = 22 meters

400

What is the product of all the integers (except zero) between but not including -2 and 5?

(-1)(1)(2)(3)(4) = What is -24?

500

-pqr3 + 2p2q - r4 if p = -1, q = -2, r = 3

-(-1)(-2)(33) +2(-1)2(-2) - (34) =  -(-1)(-2)(27) + 2(1) - 81 = -54 + 2 - 81 = What is -133?

500

A figure is made up of a triangle right next to a semicircle. The triangle's dimensions are b = 4 in and h = 6 in. The height of the triangle is the same as the diameter of the circle. Find the area of the triangle and semicircle together. 

A = (b*h)/2 + (pi*r2)/2 = (4*6)/2 + (pi*32)/2 = 24/2 + 9*pi/2 = What is 12 + 9/2pi?

500

Convert 20 square centimeters to square meters

20 sq. cm * (1 m/100 cm) * (1 m/100 cm) = 0.002 square m or 20/(100*100) square m

500

If the circumference of a circle is (28 pi) feet, what is the radius of the circle?

Radius = 14 feet

500

What is the sum of all the integers between but not including -4 and 7? 

-3 + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 +5 + 6 = What is 15?