Hekima Math Quest

Algebraic Concepts

100

Simplify 3x+4x.

7x

200

Write the expression for "twice the sum of a number and five."

2(x+5).

300

Expand (x+3)(x−4).

x^2−x−12.

400

Factor x^2−9.

(x+3)(x−3).

500

Find the value of x in x^2=16.

x=4 or x=−4.

Solving Equations

100

Solve x+5=10

x=5

200

Solve 3x=12.

x=4

300

Solve 2x−3=7

x=5

400

Solve 5x+2=17.

x=3

500

Solve 4x−7=2x+54.

x=6

Inequalities

100

Solve x+3<7

x<4.

200

Solve 2x>10

x>5

300

Solve 3x−2≤10

x≤4.

400

Solve 4x+1>9.

x>2.

500

Graph x≥−3x on a number line.

A solid dot at −3-3−3 with shading to the right.

Systems of Equations

100

Solve x+y=5 and x−y=1 using substitution.

x=3  y=2

200

Solve 2x+y=10 and x−y=2 using elimination.

x=4, y=2.

300

Solve 3x−y=7 and 2x+y=8 using substitution.

x=3, y=2.

400

Solve x+2y=6 and 3x−y=4 using elimination.

x=2, y=2.

500

Solve 2x+3y=12 and x−y=1 graphically.

x=3, y=2.

Vocabulary of Geometry

100

What is a line segment?

A part of a line with two endpoints.

200

What is a ray in geometry?

A line that starts at one point and extends infinitely in one direction.

300

Define an isosceles triangle.

A triangle with two sides of equal length.

400

What is the difference between complementary and supplementary angles?

Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees.

500

What is the name of a polygon with eight sides?

Octagon