# Basic Algebra: Simplify, Simplify, Simplify Quiz

Think you’ve got your head wrapped around Basic Algebra? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. One square table can fit four chairs around it. Two tables pushed together can fit 6 chairs, and three tables pushed together can fit 8 chairs. How many tables are needed to sit 14 people?

4
5
6
7
8
Q. Which verbal expression is equivalent to 2(x - 4)?

The product of two and four less than a number
The product of two and a number less than four
Two times a number less than four
Two times four less than a number
Four less than two times a number
Q. Simplify the expression 3(2x + 6) – 4(x - 7).

2x + 46
2x – 10
6x – 14
10x + 46
10x – 10
Q. Find the next number in the pattern: 2, 5, 10, 17, 26 …

33
34
35
36
37
Q. Which algebraic expression is equivalent to the quotient of ten and twice a number?

20x
8 + 2x
10 + 2x
10 – 2x
Q. Multiply the expression -5(3x + 6)(3x - 6).

9x2 – 36
9x2 + 36
45x2 – 180
45x2 + 60x – 180
45x2 + 60x + 180
Q. Simplify the expression -3x2 + 2xy - (-y) – 6y2 + 10xy + (-2x) – 9x2 + y2 + 7x - 6y.

-12x2 + 12xy - 5y2 + 5x - 5y
12x2 - 12xy + 5y2 - 5x + 5y
-12x2 + 12xy - 5y2 + 5x - 7y
-12x2 + 12xy - 7y2 + 9x - 7y
-12x2 - 12xy - 7y2 - 9x - 7y
Q. Divide the expression .

-9(abc)
Q. Divide the expression .

6y2 – 3y + 2
-6y2 + 3y – 2
-6y2 – 3y – 2
6y2 + 3y + 2
Cannot be simplified.
Q. Multiply the expression (4z + 2)(z2 - 7z + 1).

4z3 - 28z2 + 4z
4z3 + 28z2 + 18z - 2
4z3 - 30z2 - 18z + 2
4z3 - 26z2 - 10z + 2
4z3 - 30z2 - 10z + 2