Math 1 EOC Review Unit 4: Equations and Inequalities

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, -41, -40, and -39 are three consecutive integers.

Front

How do you set up an equation for the sum of the largest and 5 times the smallest of three consecutive integers?

Back

Let the three consecutive integers be x, x+1, and x+2. The equation is (x+2) + 5x = -244.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides. If Side A, Side B, and Side C are the sides, then Perimeter = A + B + C.

Front

If Side B is twice the length of Side A, how can you express Side B in terms of Side A?

Back

If Side A is represented as x, then Side B can be expressed as 2x.

Front

How do you express the length of Side C if it is 3 units longer than Side B?

Back

If Side B is 2x, then Side C can be expressed as 2x + 3.

Front

What is the equation to find when two people will have the same amount of money if one starts with $20 and adds $8 each week, and the other starts with $40 and adds $6 each week?

Back

The equation is 20 + 8x = 40 + 6x.

Front

How do you solve for x in the equation 20 + 8x = 40 + 6x?

Back

To solve for x, rearrange the equation: 8x - 6x = 40 - 20, which simplifies to 2x = 20, so x = 10.

Front

What does it mean to solve an equation for a variable?

Back

Solving an equation for a variable means to isolate that variable on one side of the equation, expressing it in terms of other variables or constants.

Front

Back

To solve for v, rearrange the equation to get v = (C - b) / x.

Front

What is the significance of isolating a variable in an equation?

Back

Isolating a variable allows you to express it in terms of other known quantities, making it easier to solve for that variable.