Algebra 1B Regents Review 1/5/25

Fun with Equations

100

Solve: 4x + 7 = 31

x = 6

200

Solve: 2(3x - 4) = 34

x = 7

300

Solve for x: 3x + 5 = 14

x =  3 

400

Solve: 

3p - 1 = 5( p - 1) - 2(7 - 2p)

p = 3

500

What is the average rate of change between the two points: 

(12, -18) & (11, 12)

-30

Miscellaneous

100

Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} 

Algebra: No 

200

Write the polynomial in standard form

4g – g³ + 3g² – 2

-g³ +3g² + 4g - 2

300

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

400

What is the average rate of change of the line passing through points (2, 1) and (4, 5)?

Answer: 2

500

A colony of 1000 bacteria is growing in a lab at a rate of 0.5% per day. Which type of function can best be used to model 

Exponential Growth

Who Knows

100

Factor: 4x²-25

(2x + 5)(2x - 5)

200

What is the slope-intercept form of a linear equation?

y = mx + b

300

Factor: x²+17x+72 

(x + 9)(x + 8)

400

Simplify: -4(8x - 2) -2(4 - 3x)

-38x

500

The GCF of the expression: 4x² - 18x³

2x²

Math Rocks

100

Find the slope and y-intercept of the function below: 

y = -2x - 7

slope: -2           y-intercept: -7

200

Which property is shown below: 

a(b + c) = ab + ac

Distributive Property

300

Factor: 5x² - 15x

5x( x - 3)

400

Express (x + 6)(x - 4) as a trinomial

x² - 2x -24

500

Use the quadratic formula to solve the equation: 

x² + 4x + 3 = 0

x = -1 and x = -3

Math Mystery

100

The word "product" in math means what?

Multiply

200

Which test determines whether or not a relation is a function?

Vertical Line Test

300

Given the function f(x) = 10x - 10, evaluate f(-9)

-100

400

Simplify: -(x + 7) -2(4x + 6)

-9x-19

500

A landscaping company charges a set fee for a spring cleanup, plus an additional labor rate. The equation that models the situation can be shown as C(x) = 55x + 80. In this function, what do the 55 and the 80 represent?

55: Represents the labor rate 

80: Represents the set fee