8a pre-algebra quiz review

8a Pre-Algebra quiz review

Ms. Labita

Open Ended

Give an example of an irrational number:

Open Ended

Give an example of an integer:

Multiple Choice

Which number is a whole number but NOT a natural number?

• -1

• 0

• 1

• 2

Multiple Choice

Which of the following statements is FALSE?

• All Natural Numbers are integers.

• Irrational Numbers all contain decimals.

• All Rational Numbers are Integers.

• Fractions are Rational Numbers.

Multiple Choice

Which represents a rational number?

• $$\sqrt[]{169}$$  

• $$\sqrt[]{26}$$  

• $$\sqrt[]{120}$$  

• $$\sqrt[]{50}$$  

Multiple Choice

Which number in the list is NOT an integer?

• $$\frac{-12}{4}$$  

• $$-4^2$$  

• $$\sqrt[]{25}$$  

• -4.9

Multiple Choice

Which number is irrational?

• $$-\frac{\sqrt[]{15}}{2}$$  

• $$\pi-\pi$$  

• $$\frac{\sqrt[]{121}}{5}$$  

• $$0.\overline{6}$$  

PEMDAS and Expressions

• ​REMINDER: Multiplication and Division, and Addition and Subtraction are interchangeable.

• Do what comes first from left to right.

• ​When evaluating expressions, substitute a number in using parenthesis.

• ​Evaluate with PEMDAS

Multiple Choice

Evaluate  $$xy^2-3x+4y$$  when x=3 and y=-1

• 12

• 6

• -10

• 4

Multiple Choice

Evaluate $$\frac{a^2+3ab}{b}$$  when a=5 and b=-1.

• 5

• -25

• 10

• -10

​The Properties:

• ​The Commutative Property : Addition and Multiplication

• ​The Associative Property: Addition and Multiplication

• ​Addition/Subtraction Property of Equality

• ​Multiplication/Division Property of Equality

• ​Distribute Property

• Identity Property: Addition or Multiplication

• ​Inverse Property: Addition or Multiplication

Open Ended

Which property is being represented?  $$\left(6+x\right)+3x=6+\left(x+3x\right)$$  

Multiple Choice

Which property is used in the first step of solving this equation?

$$3x+5=17$$  

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

​Combining Like Terms

• ​Like terms have the same variable AND exponent.

• ​To combine like terms, add the coefficients. Keep the variable and exponent the SAME​

Multiple Choice

Simplify the expression by combining like terms. $$-4x^2+6x-12+7x^2-8x+10$$  

• $$3x^2-2x-2$$  

• $$3x^2+2x-2$$  

• $$-3x^2-2x+2$$  

• $$x^2-2$$  

Multiple Choice

Simplify: $$\frac{1}{5}\left(25x-10\right)-\left(x-10\right)$$  

• $$24x-20$$  

• $$4x+12$$  

• $$4x-12$$  

• $$4x+8$$  

​Solving Equations

• ​Isolate the variable using inverse operations.

• ​For 2 step equations, "undo" the addition/subtraction first. Then, the multiplication/division.

Multiple Choice

Solve for x: $$6-3x=-21$$  

• -9

• 9

• 5

• -5