Algebraic Concepts
Simplify 3x+4x.
7x
Solve x+5=10
x=5
Solve x+3<7
x<4.
Solve x+y=5 and x−y=1 using substitution.
x=3 y=2
What is a line segment?
A part of a line with two endpoints.
Write the expression for "twice the sum of a number and five."
2(x+5).
Solve 3x=12.
x=4
Solve 2x>10
x>5
Solve 2x+y=10 and x−y=2 using elimination.
x=4, y=2.
What is a ray in geometry?
A line that starts at one point and extends infinitely in one direction.
Expand (x+3)(x−4).
x^2−x−12.
Solve 2x−3=7
x=5
Solve 3x−2≤10
x≤4.
Solve 3x−y=7 and 2x+y=8 using substitution.
x=3, y=2.
Define an isosceles triangle.
A triangle with two sides of equal length.
Factor x^2−9.
(x+3)(x−3).
Solve 5x+2=17.
x=3
Solve 4x+1>9.
x>2.
Solve x+2y=6 and 3x−y=4 using elimination.
x=2, y=2.
What is the difference between complementary and supplementary angles?
Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees.
Find the value of x in x^2=16.
x=4 or x=−4.
Solve 4x−7=2x+54.
x=6
Graph x≥−3x on a number line.
A solid dot at −3-3−3 with shading to the right.
Solve 2x+3y=12 and x−y=1 graphically.
x=3, y=2.
What is the name of a polygon with eight sides?
Octagon