Basics of Algebra
What is a variable in algebra?
A symbol, usually a letter, that represents one or more numbers.
Solve for x: x+3=7.
x=4
What is the sum of the angles in a triangle?
180 degrees.
How many sides does a pentagon have?
Five
Convert 100 centimeters to meters.
1 meter
Simplify 2x+3x.
5x
Solve for x: 2x=10
x=5
Define a right angle.
An angle that measures 90 degrees.
What is an acute angle?
An angle that measures less than 90 degrees.
If 2:3=4:x, what is x?
6
Write the algebraic expression for "5 times a number plus 7."
5x+7
Solve for y: y−6=2.
y=8
What is the formula for the area of a rectangle?
Area=Length×Width.
What is the name of a 7-sided polygon?
Heptagon
What is the formula for the circumference of a circle?
C=2πr.
Evaluate 3x+4 when x=2.
10
Solve 3x+4=19.
x=5
Name a shape that has four equal sides and four right angles.
Square.
If two angles are supplementary, what is their sum?
180 degrees
A recipe uses 4 cups of flour for 2 cakes. How many cups of flour are needed for 5 cakes?
10 Cups
What is the term for a number without a variable in an algebraic expression?
Constant.
Solve 4x−7=9.
x=4
What is the perimeter of a square with side length 6 units?
24 units.
Name an angle that is greater than 90 degrees but less than 180 degrees.
Obtuse
A car travels 180 miles in 3 hours. What is its speed in miles per hour?
60 miles per hour.