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 represent the sum of three consecutive integers algebraically?

Back

If the smallest integer is represented as x, then the three consecutive integers can be represented as x, x+1, and x+2. Their sum is x + (x + 1) + (x + 2).

Front

What is the equation to find the smallest of three consecutive integers where the sum of the largest and 5 times the smallest equals -244?

Back

Let the smallest integer be x. The equation is (x + 2) + 5x = -244.

Front

How do you find four consecutive even integers?

Back

If the smallest even integer is represented as x, then the four consecutive even integers can be represented as x, x+2, x+4, and x+6.

Front

What is the equation for the sum of four consecutive even integers equal to 5 times the smallest?

Back

The equation is x + (x + 2) + (x + 4) + (x + 6) = 5x.

Front

How do you set up an equation for the weights of two dogs where one weighs 1.4 pounds more than the other?

Back

Let s be the weight of the smaller dog. The equation is s + (s + 1.4) = 12.6.

Front

What is the solution for the weight of the smaller dog if the combined weight is 12.6 pounds?

Back

The weight of the smaller dog is 5.6 pounds.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

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Back

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning the expressions on both sides are equal.