Algebra Basics Review

Unit 1 Algebra Basics

represent verbal
expressions algebraically

Verbal Expressions

Turnaround Words & Parentheses

Multiple Choice

the product of x and sixteen

• x + 16
• x - 16
• 16x
• x/16

Multiple Choice

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m
• 8m - 4
• 8m + 4
• 4m - 8

Multiple Choice

7 less than 20.

• 7+20
• 20−7
• 7−20
• 20+7

Multiple Choice

Translate this phrase into an algebraic expression.
the quotient of 4 and a number increased by 10.

• 4 - n + 10
• 4n - 10
• 4/(n + 10)
• 4 / n + 10

Multiple Choice

Seven increased by the product of three and a number.

• 7 / 3x

• 3x + 7

• 7 + 3x

• 3(x + 7)

Multiple Choice

Seven less than the difference of five times a number and two.  

• 7 - (5x - 2)
• (x - 2) - 7
• 5(x - 2) - 7
• (5x - 2) - 7

Unit 1 Algebra Basics

evaluate algebraic expressions for given replacement values

Replacement Values & Order of Operations

Function Notation

Multiple Choice

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

• Division
• Multiplication
• Addition
• Subtraction

Multiple Choice

Evaluate the equation:
5 · 2 - (11 - 7)

• 10
• 4
• 6
• 11

Multiple Choice

7 + (12-3)²

• 256
• 88
• 10
• 13

Fill in the Blank

Evaluate the expression if c = 15.


$$2\left(c-5\right)+\sqrt{100}$$  

Multiple Choice

Evaluate the expression for n = 4

• 3
• 2
• 15
• 17

Fill in the Blank

Given f(x) = -x + 12, find f(-2).

Math Response

Given h(x) = 5 - 9x, find h(8). 

Type answer here

Correct Answer: -67

Deg^°

Rad

Unit 1 Algebra Basics

properties of real numbers

Properties

Distributive Property

Multiple Choice

Identify the property
a + b = b + a

• Identity of addtion
• commutative of addition
• associative of addition
• symmetric

Multiple Choice

Identify the property

a + 0 = a

• identity property of addition

• identity property of multiplication

• inverse property of addition

• multiplication property of zero

Multiple Choice

Identify the property

(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative property of addition

• identity property of multiplication

• inverse property of multiplication

• associative property of multiplication

Multiple Choice

(19 x 5) x 2 = 19 x (5 x 2)

• Associative Property of Multiplication
• Commutative Property of Multiplication
• Identity Property of Multiplication
• Associative Property of Addition

Multiple Choice

1 ^_x 12 =12

• Identity Property of Multiplication
• Commutative Property of Multiplication
• Multiplication Property of One
• Distributive Property

Multiple Choice

Which property says changing the order of the terms in addition or multiplication will not change the result

• Commutative

• Associative

• Inverse

• Identity

Multiple Choice

This is an example of which property:
$$\left(2\cdot3\right)\cdot4=2\cdot\left(3\cdot4\right)$$  

• Associative

• Commutative

• Inverse

• Identity

Multiple Choice

9 ^_x 2 = 2 ^_x 9

• Commutative Property of Multiplication
• Associative Property of Multiplication
• Multiplicative Inverse Property
• Distributive Property

Multiple Choice

Identify this property.

$$\frac{2}{3}\ +\ \left(-\frac{2}{3}\right)=0$$  

• Additive Identity

• Additive Inverse

• Multiplicative Property of 0

• Multiplicative Inverse

Multiple Choice

Identify this property.

$$\frac{4}{5}\ \times\ \frac{5}{4}\ =\ 1$$  

• Multiplicative Inverse

• Multiplicative Identity

• Commutative

• Associative

Multiple Choice

Expand $$3\ \left(x+5\right)$$  

• $$3x$$  

• 15

• $$18x$$  

• $$3x+15$$  

Multiple Choice

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

Multiple Choice

7a(3b - 2c + 4)

• 10ab + 5ac + 11a
• 10ab + 5ac + 28a
• 21ab + 14ac + 28a
• 21ab - 14ac + 28a

Multiple Choice

-3(2c - 5)

• -6c - 15
• -6c + 15
• 6c + 15
• 6c - 15

Multiple Choice

Expand and simplify $$3\left(2a+5\right)+5\left(a-2\right)$$  

• $$11a+5$$  

• $$6a+15$$  

• $$11a-5$$  

• $$6a+15+5a-10$$