Algebra 1 Review

Linear/Inverse

100

What is the general form of a linear equation?

y = mx + b

200

What is the general form of an inverse equation?

y = k/x

300

In a linear equation, the "b" represents what?

The y-intercept

400

All inverse relationships have a what?

Constant value

500

Using coordinate points (x,y), how do you find the slope of a linear line?

(y₂ - y₁) / (x₂ - x₁)

Exponential

100

What is the general form of an exponential equation? 

y = y-intercept (growth factor)^x​​​​

200

What are the two types of exponential relationships?

Growth and decay

300

If an investment increases by 72%, what is the growth factor?

1.72

400

If you scored 100% more goals than your previous hockey season, what is the growth factor?

2

500

An investment loses 5% each year, what is the decay factor?

0.95

Exponents

100

What is (x⁴)(x³)?

x¹²

200

What is (x⁵)²

x¹⁰

300

What is 4x⁸ / 2x³

2x⁵

400

What is 5x² (3x³ + 2x)

15x⁶  + 10x³

500

What is 12x⁴ / 3x⁷

4 / x³

Pythagorean Theorem

100

What is the equation for using the Pythagorean Theorem?

a² + b² = c²

200

What is the square root of 196?

14

300

What is the cube root of 729?

9

400

If the legs of a right triangle measure 5cm and 12 cm, what is the length of the hypotenuse?

13cm

500

If the hypotenuse of a right triangle measures 11cm and one leg measures 4cm, what is the length of the other leg?

Square root of 105cm

Systems of Equations

100

Solve for x and y...

4x + 8y = 20

−4x + 2y = −30

x = 7

y = -1

200

Solve for x and y...

−6x + 5y = 1

6x + 4y = −10

x = -1

y = -1

300

Solve for x and y...

8x + y = −16

−3x + y = −5

x = -1

y = -8

400

Solve for x and y...

−7x + y = −19

−2x + 3y = −19

x = 2

y = -5

500

Solve for x and y...

−4x − 2y = 14

−10x + 7y = −25

x = -1

y = -5