Algebra 1 Review

Point Slope Form

100

What is the formula for point-slope form?

y - y1 = m(x - x1)

200

Convert the point (2, 3) with slope 4 to slope-intercept form

y = 4x - 5

300

Write the equation of a line with slope 2 through (1, -3) in standard form.

2x - y = 5

400

Given point (3, 7) and slope -1, write the equation.

y = -x + 10

500

What is the slope-intercept form of the equation from the point-slope form y - 3 = 2(x + 4)?

 y = 2x + 11

Slope Intercept Form

100

What does the 'm' represent in the slope-intercept form?

The slope of the line.

200

What is the slope of the line y = 3x + 4?

3

300

How do you find the y-intercept of y = -2x + 6?

Set (x = 0), then (y = 6)

400

Write the equation in slope-intercept form for a line with slope 3 through (2, 5).

y = 3x - 1

500

Given y = -1/2x + 4, what is the slope?

-1/2

Systems of Equations

100

What is a system of equations?

A set of two or more equations with the same variables.

200

Solve the system: y = 2x + 1 and y = -x + 4.

(1, 3)

300

What is the solution for the system: 2x + 3y = 6 and x - y = 2?

(4, -2)

400

Solve using substitution: y = 3x - 2 and 4x + y = 10.

(2,4)

500

Solve using elimination: 3x + 2y = 16 and x - 2y = -3

(5,3)

Linear Inequalities

100

What is the difference between an equation and an inequality?

An equation shows equality, while an inequality shows a relationship of greater than or less than.

200

Solve the inequality: 2x + 3 < 7

x < 2

300

Graph the inequality y < 2x + 1

Graph the line y = 2x + 1 and shade below the line.

400

3x-4 ≥ 5

x  ≥ 3

500

solve and graph  the inequality 2(3x-4) > 4x+8

400

Factoring

100

Factor: x²+5x+6

(x+2)(x+3)

200

Factor : 4x²-12x

4x(x-3)

300

factor the trinomial: x²-7x+12

(x-3)(x-4)

400

Factor Completely: 6x²+19x+15

(3x+5)(2x+3)

500

Factor: x²-16

Hint: Use the difference of squares formula 

(x+4)(x-4)