Algebra Review

Vocabulary

100

What is a variable? Also provide an example. 

A letter that stands for an unknown number/quantity. 

200

What is a coefficient? Also provide an example. 

The multiplier in front of the variable. 

300

What is a constant? Also provide an example. 

A number that always has the same value. 

400

What is preservation of equality?

Keeping balance on both sides of an equation. 

"What you do to one side, you must do to the other."

500

What is the difference between an expression and an equation?

An expression has a variable but no equal sign. The variable has no specific value. An equation shows two balanced sides joined by an equal sign. 

Solving Equations

100

Solve for x:

x + 5 = 120

x = 115

200

Solve for x: 

x - 45 = 137

x = 182

300

Solve for x: 

3x + 52 = 211

x = 53

400

x/7 - 11 = 144

x = 1085

500

30/x + 12 = 17

x = 6

Pattern Rule

100

Determine the pattern rule for the following (using an expression!):

Figure 1: 4

Figure 2: 7

Figure 3: 10

3n + 1

200

Determine the pattern rule for the following (using an expression!)

Fig 1: 1

Fig 2: 6

Fig 3: 11

5n - 4

300

Determine the pattern rule (using an expression!):

Fig 1: 8

Fig 2: 14

Fig 3: 20

6n + 2

400

Represent the following scenario using an algebraic expression (pattern rule). Explain what your variable means. 

A meal delivery service charges a one-time $8 delivery fee plus $5 per meal. 

5x + 8

x = number of meals

500

Represent the following scenario using an algebraic expression (pattern rule). Then answer the problem.

A smoothie bar charges a one time $5 cup fee and $4 per smoothie. How much would it cost to buy 9 smoothies?

5 + 4x

Cost for 9 smoothies is $41

Algebraic Expressions using Variables

100

Create an expression for:

11 added to a number

11 + n

200

Create an expression for:

9 is subtracted from a number

n - 9 

300

Create an expression for:

A number multiplied by 25

25n

400

Create an expression for:

Add 30 by 8 times a number

30 + 8n

500

Create an expression for:

A number multiplied by 64 reduced by 30

64n - 30

Random

100

Who wrote the Harry Potter books?

JK Rowling

200

Which Italian city is famous for the leaning tower it has?

Pisa

300

How many days are in a leap year?

366

400

What do you call an angle more than 90 degrees and less than 180 degrees?

Obtuse angle

500

This goes around the world but stays in the corner. What is it?

A stamp!!