Tell whether the number is rational or irrational.
3/4
Rational
Evaluate the expression.
11* 7 - 9 * 5
32
Simplify the expression.
-8(6c)
-48c
Solve the equation.
4y = 52
12
What is the name of a triangle with three congruent sides?
Equilateral triangle
Tell whether the number is rational or irrational.
sqrt(8)
Irrational
Evaluate the expression.
(36 - 12)/ (2 + 6)
3
Evaluate the expression when a = 9 and b = -4.
5ab
-180
The difference of 13 and the quotient of 1.5 and d
13 - (1.5)/d
What is the sum of the angle measures of a triangle?
180 degrees
Complete the statement using <, >, =.
5/2 ? sqrt(6.25)
=
Evaluate the expression when x = 4 and y = 3.
7(x^2 - 5y)
7
Use a conversion factor to perform the indicated conversion.
360 seconds to minutes
6 minutes
Solve the equation.
-3 = (z)/(6 + 11)
-51
The lengths of two sides of a right triangle are given. Find the length of the third side using Pythagoras' Theorem.
a = 28, c = 53
b = 45
Order the numbers from least to greatest.
3.5, 2 sqrt(3), sqrt(13), 19/4, 3 1/4, sqrt(8)
sqrt(8), 3 1/4, 2 sqrt(3), 3.5, sqrt(13), 19/5
Evaluate the expression when x = 3, y = 4, and z = 5.
y + (z - 1)^2
20
Identify the property that the statement illustrates.
(-7u)(1) = -7u
Identity property of multiplication
Solve the equation.
3( q - 5) = 2 (q + 5)
25
For triangle PQR, find the tangent of angle P.
tan p =
(opposite)/(adjacent) = 77/36
Simplify the expression.
sqrt((x^4/x^2))
X
You and your mom share cell phone service. You divide the bill equally, including the monthly fee of $39 plus $0.30 for each additional data beyond your free data.
Write an expression for your share of the bill in a month when you are charged for d extra data.
(39 + 0.3d)/ 2
19.5 + 0.15d
One fish eaten by a swordfish is a mackerel. A swordfish can grow to a length of about 5 yards, while the length of an adult mackerel is about 18 inches. Complete:
5 yards = 5 yards * (? feet)/ (1 yard) * (? In) / (1 ft)
3 feet
12 inches
Solve the equation.
2/3 + (3m)/5 = 31/15
2 1/3
Simplify the expression.
sqrt(162f^2g^2)
9fgsqrt(2)