Algebra I Review

TERMS & VOCABULARY

100

Clue: A letter or symbol used to represent an unknown value.

Answer: Variable

200

Consider:

7x−4

What is the coefficient?

Answer:

7

300

Classify:

4x+9

Is it an expression, equation, or inequality?

Answer: Expression

Why: It has no equal sign or inequality symbol.

400

Consider:

5x+3y−8

Identify: a variable, a coefficient, the constant, and the number of terms

Answer:

• Variables: x,yx,y
• Coefficients: 5,35,3
• Constant: −8-8
• Terms: 3

500

Explain the difference between an: Expression and Equation

An expression contains numbers, variables, and operations but does not make a comparison.

An equation states that two expressions are equal.

SOLVE THE EQUATION

100

x+7=15

x=8

200

3x−5=16

x=7

300

2(x+4)=18

x=5

400

5x+2=3x+14

x=6

500

7x−9=3x+19

x=7

EXPLAIN THE MATH

100

A student solves:

x + 6 = 11 by doing: x = 11 + 6

What did the student do incorrectly?

Answer: They should use the inverse operation.

Subtract 6:

x=11−6

200

Can these terms be combined?

4x+3y

Explain why or why not.

Answer: No.

They are not like terms because x and y are different variables.

300

Why do we subtract 7 from both sides here?

3x+7=22

Answer: To keep the equation balanced/equal while isolating the variable.

3x+7−7 = 22−7

400

A student says:

4x+8=20 so x=16

Explain the error and solve correctly.

The student did not correctly use inverse operations.

x=3

500

A student solves:

6x+4 = 2x+20 like this: 8x=24

x=3

What was the error? 

You cannot simply combine 6x and 2x across an equal sign. You have to subtract either one, not add.

SLOPE & LINEAR EQUATIONS

100

y=3x+5

What is m and what is b? 

m=3 (slope)

b=5 (y-intercept)

200

Is this line increasing or decreasing?

y=−4x+2

Decreasing: A negative slope means the line decreases from left to right.

300

y= -2/3x + 4y

identify the slope and explain the rise/run.

slope = -2/3 (down two, right 3)

400

Rewrite in slope-intercept form:

2x + y = 7

Then identify m and b.

m=−2

b=7

500

Find the slope between: (2,3) and (6,11)

Use: (y₂ - y₁ / x₂ - x₁₎

m=2

PATTERNS & ARITHMETIC SEQUENCES

100

Find the common difference: 4, 9, 14, 19,…

d=5

200

Find the next two terms: 30, 24, 18, 12,…

6, 0

300

Find the missing value: 12, 19, ___, 33, 40

26

400

Write the explicit rule for: 5, 8, 11, 14,…

Use: Value = d(n)+ b

Value= 3n + 2

Example: 3(1) + 2 = 5

500

A student has $20 and saves $6 each week.

Write a rule for the amount of money after w weeks.

M = 6w + 20