Integers and Rational Numbers
Evaluate the expression: (-8) + (-3)
-8 + (-3) = -11
Simplify the expression: 3x + 2 - 4x + 6.
8 - x
Calculate the perimeter of a rectangle with sides of length 15 cm and 10 cm.
The perimeter of a rectangle with sides 15 cm and 10 cm is 50 cm.
Simplify the square root of 144.
The square root of 144 is 12.
If the ratio of boys to girls in a class is 2:5 and there are 20 boys, how many girls are there?
If the ratio of boys to girls is 2:5 and there are 20 boys, there are 50 girls.
Order the following numbers from least to greatest: -0.75, -2.5, -1.25, -1.5, -0.5.
The numbers in ascending order: -2.5, -1.75, -1.5, -1.25, -0.75.
If y = 7, find the value of 4y - 3.
25
Find the area of a triangle with a base of 16 units and a height of 9 units.
The area of a triangle with base 16 units and height 9 units is 72 square units.
Classify the number √10 as rational or irrational.
The number √10 is irrational.
A recipe calls for 3 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar in the recipe?
The ratio of flour to sugar in the recipe is 3:2.
Write the rational number as a decimal: 7/12.
7/12 ≈ 0.5833 (rounded to four decimal places).
Write the phrase as an algebraic expression: "Twice a number x decreased by 5."
"Twice a number x decreased by 5" can be written as 2x - 5.
Identify the type of angle formed when a angle measures 135 degrees .
An angle measuring 135 degrees is an obtuse angle.
Evaluate ∛64.
The cube root of 64 is 4.
If the original price of a shirt was $60, and it's now on sale for 30% off, what is the sale price?
If the original price of a shirt was $60, the sale price is $42 (30% off).
Calculate the product: (-3) × (5/6).
(-3) × (5/6) = -2.5
Combine like terms in the expression: 5a + 3b - 2a + 4b.
3a + 7b
Calculate the volume of a rectangular prism with dimensions 7 cm × 5 cm × 12 cm.
The volume of a rectangular prism with dimensions 7 cm × 5 cm × 12 cm is 420 cubic cm.
Simplify the expression: 3√27 + √125.
3√27 + √125 = 3 + 5√5
The ratio of cats to dogs in a shelter is 3:7. If there are 63 cats, how many dogs are there?
There are 147 dogs in the shelter (63 cats to 147 dogs is the ratio 3:7)