Algebra Midterm Review Flashcardizz

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Write a linear equation to represent the cost of going on x rides if the admission is $5 and each ride costs $0.50.

Back

y = 0.50x + 5

Front

What does it mean for two lines to intersect?

Back

Two lines intersect when they cross each other at a point, which means they have a common solution.

Front

What is the solution to the system of equations if the lines intersect at (4, -2)?

Back

The solution is (4, -2), which is the point where the two lines meet.

Front

Evaluate the expression (10 + 5x) / z when x = 2 and z = 5.

Back

4

Front

What is the algebraic expression for '5 more than 3 times a number'?

Back

5 + 3x

Front

What does 'no solution' mean in the context of a system of equations?

Back

'No solution' means that the lines represented by the equations are parallel and never intersect.

Front

If a linear equation is in the form y = mx + b, what do m and b represent?

Back

m represents the slope of the line, and b represents the y-intercept, where the line crosses the y-axis.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.