Algebra I Final 2024 Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y < -x + 3?

Back

1. Start by graphing the line y = -x + 3 (dashed line). 2. Shade below the line to represent y < -x + 3.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality y > x - 1 represent graphically?

Back

It represents the area above the line y = x - 1 (dashed line).

Tags

CCSS.HSA.REI.D.12

Front

How do you write a linear inequality in standard form?

Back

A linear inequality in standard form is written as Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are constants.

Front

What is the standard form of the inequality for the Math Pentathalon team's goal?

Back

x + 2y ≥ 240, where x is the number of hot chocolate glasses sold and y is the number of apple cider glasses sold.

Front

What is the solution to the system of equations 3x + y = -14 and -2x - y = 9?

Back

The solution is (-5, 1).

Tags

CCSS.HSA.REI.C.9

Front

How do you find the width of a rectangle if the area and length are known?

Back

Use the formula: Area = Length × Width. Rearrange to find Width = Area / Length.

Tags

CCSS.HSA.CED.A.4

Front

What is the area of a rectangle if it is given as 8x^2 + 6x - 9 and the length is 2x + 3?

Back

The width is 4x - 3, found by dividing the area by the length.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

Tags

CCSS.8.EE.B.5