Algebra 1 Overview

Linear Functions

Rational/Irrational

Quadratic Functions

Exponential Functions

Data

100

What is the range of the equations y=5x-2

(-∞,∞)

100

The product of a non-zero rational number and an irrational number…..

is always irrational

100

(x²+ 3x - 4) + (2x² - 4x +6)

3x²- x + 2

100

what is the domain of the function y=2^x

(-∞,∞)

100

What is the range from the list of numbers:

7, 10, 13, 14, 15, 18, 20, 21, 24, 26

range =19

200

Which value for 𝑥 is the solution to the following equation: 10 + 2𝑥 − 4 = 2𝑥 + 1 + 𝑥?

x=5

200

The product of an irrational number and an irrational number…..

Sometimes both

200

solve: x² + 3x - 4

x= -4 , x= 1

200

What is the range of the function y=2^(x-1)+3

(3,∞)

200

Describe the correlation coefficient of 0.82.

strong positive

300

An Arithmetic Sequence is shown: 23, 12, 1, -10, .…

What is the recursive formula that was used to create this sequence?

𝑎𝑛 = 𝑎(𝑛−1) − 11; 𝑎1 = 23

300

What is the simplified form of 4√50x⁷

20x³√2x

300

Solve: (x+3)²=64

x=5

300

Given the sequence 512, 256, 128, 64...

What is the explicit rule for this sequence?

a_n=512(0.5)^n-1

300

What is the mean from the list of numbers:

7, 10, 13, 14, 15, 18, 20, 21, 24, 26

mean= 16.8

400

Boris is saving to buy a car. He already has $700 saved and is saving an additional $100 every week. Write an equation that shows the total amount saved by Boris after weeks?

𝑦 = 100𝑥 + 700

400

What is the simplified form of 3√5 ∗ 2√8x ∗ √5x?

60x√2

400

A ball is kicked into the air from the ground. The height of the ball, h is modeled by the function h= - 16t²+112t. How long will the ball be in the air?

t=7

400

The function f(x)=512(0.5)^x

what is f(6)

f(6)=8

400

What is the median from the list of numbers:

7, 10, 13, 14, 15, 18, 20, 21, 24, 26

Median=16.5

500

Assume that x and y are whole numbers. What is the solution of the system of inequalities?

x + y > 4

3x + 7y ≤ 21

Answers may vary

500

³√24g⁷

2g^{2 3}√3g

500

what transformation does F(x)=(x+3)²+4 have from its parent graph?

shifted 3 left and four up

500

what transformation does the function y=2^(x-1)+3 have from its parent graph?

right one and up three

500

What is the IQR from the list of numbers:

7, 10, 13, 14, 15, 18, 20, 21, 24, 26

IQR=8