Math 7 Chapter 6 Assessment

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation. For example, if you have the equation 4x + 11 = 15, an equivalent equation would be 4x = 4.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations. For example, in the equation y + 9 = -21, subtract 9 from both sides to find y.

Front

What does it mean to write an equation from a word problem?

Back

Writing an equation from a word problem involves translating the words into a mathematical expression. For example, 'Three more than eight times a number is equal to 10' translates to the equation 8x + 3 = 10.

Front

How do you solve the equation 0.2m = 48?

Back

To solve for m, divide both sides by 0.2. Thus, m = 48 / 0.2 = 240.

Front

What is the first step in solving the equation 2x + 350 = 2500?

Back

The first step is to isolate the term with the variable. Subtract 350 from both sides to get 2x = 2500 - 350.

Front

What is the solution to the equation y + 9 = -21?

Back

To solve for y, subtract 9 from both sides: y = -21 - 9, which gives y = -30.

Front

How do you check if an equation is equivalent?

Back

To check if two equations are equivalent, solve both equations and see if they yield the same solution.

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, use inverse operations (addition, subtraction, multiplication, division) to move other terms to the opposite side of the equation.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true.

Front

What is the solution to the equation 4x + 11 = 15?

Back

To solve for x, subtract 11 from both sides to get 4x = 4, then divide by 4 to find x = 1.