Thank You Ma'am Practice Quiz

Subtracting 5 from both sides gives x = 7. This basic linear equation reinforces the principle of isolating the variable.

Multiply 4 by 2 to get 8, then add 3 to obtain 11. This follows the correct order of operations.

Subtracting 3 from 7 gives 4, and adding 9 results in 13. This reinforces simple arithmetic operations.

The area of a rectangle is found by multiplying its length by its width, so 5 Ă - 3 equals 15. This demonstrates a fundamental geometry concept.

A square has four equal sides; multiplying the side length (4) by 4 gives a perimeter of 16 units. This is a basic concept in geometry.

Subtracting 4 from both sides yields 3x = 15, and dividing by 3 gives x = 5. This question reinforces solving simple linear equations.

The slope is calculated as the change in y divided by the change in x: (8 - 2) / (3 - 1) equals 3. This applies the slope formula for linear equations.

Distribute the 2 to get 6x - 8, then add 5x to combine like terms, resulting in 11x - 8. This demonstrates the process of combining like terms.

50% means 50 per 100, which converts to 0.5. This conversion is essential for working with percentages in various math problems.

Divide both sides by 4 to obtain y - 2 = 5, then add 2 to both sides to find y = 7. This tests the ability to isolate variables in an equation.

Since $75 represents 75% of the original price, dividing 75 by 0.75 gives $100. This problem illustrates the concept of reverse percentage calculations.

Multiplying -3 by 4 results in -12, and adding 10 produces -2. This question reinforces the order of operations when working with negative numbers.

Dividing 21 by 3 gives 7, which is the value of one ratio unit; multiplying 7 by 4 results in 28 girls. This problem tests the application of ratios and proportions.

Use the area formula (length Ă - width) to set up the equation 12 Ă - width = 60; solving for width gives 5. This reinforces the use of area formulas in problem solving.

The sum of the numbers is 60, and dividing by the count (5) gives a mean of 12. Calculating averages is a key statistical skill.

Distribute the 2 to obtain 6x - 8, then subtract x from both sides and add 8 to both sides to get 5x = 22. Dividing by 5 gives x = 22/5, demonstrating multi-step equation solving.

For a regular polygon, the interior angle is given by ((n-2)*180)/n. Setting this equal to 150° and solving for n yields 12 sides.

Solve the second equation for y (y = x - 2) and substitute into the first equation to obtain 3x = 12, yielding x = 4 and y = 2. This exercise evaluates the method of substitution in systems of equations.

The circumference of a circle is calculated by multiplying the diameter by Ï€; hence, 10 Ă - 3.14 equals 31.4 units. This question tests understanding of circle formulas.

Substitute x = 3 into the function to get 2(9) - 3(3) + 5, which simplifies to 18 - 9 + 5 = 14. This reinforces evaluating quadratic expressions.