The Basics Test Review

Is the sum of

 $\sqrt{25}\ and\ \sqrt{3}$  a rational or irrational answer?

• Rational

• Irrational

Brian wants to count up the number of cars in each household on his street. Which set of numbers could represent the number of cars?

• integers

• whole numbers

• rational numbers

• irrational numbers

Which value of x satisfies the equation

 $\frac{2}{3}\left(x+\frac{1}{3}\right)=14$  

• 13.78

• 20.666...

• 21

• 19.25

What is the solution to the equation: $5\left(x-1\right)=.5\left(x+4\right)+1.5$  

• 3.5

• 1.888...

• 17

Express

 $\sqrt{48}$  in simplest radical form

•  $2\sqrt{2}$  

•  $4\sqrt{3}$  

• 6.92820323

• 2304

An expression of the sixth degree is written with a leading coefficient of two and a constant of nine. Which expression is correctly written.

• $6x^2+x^2+9$

• $9x^2+6x+2$

• $2x^6+x^2+9$

• $2x^9+x^6+6$

Solve the equation

 $10-3x=-5x-15$  

•  $3.125$  

•  $-12.5$  

•  $-2.5$  

The expression

 $\sqrt{200}$  in simplest form is

•  $14.14$  

•  $\sqrt{100}$  

•  $50\sqrt{4}$  

•  $10\sqrt{2}$  

When solving the equation

 $10\left(2x+2\right)+9=15x+8$  Johnny wrote  $10\left(2x+2\right)=15x-1$  as his first step. Which property justifies Johnny's first step?

• commutative property of addition

• multiplication property of equality

• subtraction property of equality

• addition property of equality

Solve the equation $5\left(x-15\right)=20$  

• 19

• 6

• 11

• -.2