# Basic Algebra

# Basic Algebra: Simplify, Simplify, Simplify Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Basic Algebra**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(2

*x*+ 6) – 4(*x*- 7).2

*x*+ 462

*x*– 106

*x*– 1410

*x*+ 4610

*x*– 10Q. 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?

20

*x*8 + 2

*x*10 + 2

*x*10 – 2

*x*Q. Multiply the expression -5(3

*x*+ 6)(3*x*- 6).9

*x*^{2}– 369

*x*^{2}+ 3645

*x*^{2}– 18045

*x*^{2}+ 60*x*– 18045

*x*^{2}+ 60*x*+ 180Q. Simplify the expression -3

*x*^{2}+ 2*xy*- (-*y*) – 6*y*^{2}+ 10*xy*+ (-2*x*) – 9*x*^{2}+*y*^{2}+ 7*x*- 6*y*.-12

*x*^{2}+ 12*xy*- 5*y*^{2}+ 5*x*- 5*y*12

*x*^{2}- 12*xy*+ 5*y*^{2}- 5*x*+ 5*y*-12

*x*^{2}+ 12*xy*- 5*y*^{2}+ 5*x*- 7*y*-12

*x*^{2}+ 12*xy*- 7*y*^{2}+ 9*x*- 7*y*-12

*x*^{2}- 12*xy*- 7*y*^{2}- 9*x*- 7*y*Q. Divide the expression .

-9(

*abc*)Q. Divide the expression .

6

*y*^{2}– 3*y*+ 2-6

*y*^{2}+ 3*y*– 2-6

*y*^{2}– 3*y*– 26

*y*^{2}+ 3*y*+ 2Cannot be simplified.

Q. Multiply the expression (4

*z*+ 2)(z^{2}- 7*z*+ 1).4

*z*^{3}- 28*z*^{2}+ 4*z*4

*z*^{3}+ 28*z*^{2}+ 18*z*- 24

*z*^{3}- 30*z*^{2}- 18*z*+ 24

*z*^{3}- 26*z*^{2}- 10*z*+ 24

*z*^{3}- 30*z*^{2}- 10*z*+ 2