Equations with Rational Coefficients

Front

Solve: 8y = 24

Back

y = 3

Front

Solve the equation: 72 = ?

Back

72

Front

If the coefficient of the variable is a fraction, dividing both sides by a fraction is the same as...

Back

multiplying by the reciprocal

Front

Write an equation AND solve: Three fourths of the fruit in a refrigerator are apples. There are 24 apples in the refrigerator. How many pieces of fruit are in the refrigerator?

Back

¾ n = 24 ; n = 32 pieces of fruit

Front

Solve the equation: ? = -90

Back

-90

Front

What is a rational coefficient?

Back

A rational coefficient is a number that can be expressed as a fraction, where both the numerator and denominator are integers.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation.

Front

What does it mean to check your solution?

Back

Checking your solution means substituting your answer back into the original equation to verify it is correct.

Front

What is the first step in solving the equation ¾ n = 24?

Back

Multiply both sides by the reciprocal of ¾, which is 4/3.