#### The test had ’10’ 4-point questions and ’30’ 3-point questions in the math test.

#### What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sophia’s math test is worth 130 points and has 40 problems.

And, Each problem is worth either 4 points or 3 points.

Now,

Let number of 4 point questions = x

And, Number of 3 point questions = y

Since, There are 40 problems.

So, We get;

x + y = 40 …. (i)

And, Each problem is worth either 4 points or 3 points.

So, We can formulate;

4x + 3y = 130 …. (ii)

Solve equation (i) and (ii) as;

Multiply by 4 in equation (i), we get;

4x + 4y = 160

Subtract from equation (ii),

y = 30

And, x + y = 40

x = 40 – 30

x = 10

Thus, The test had ’10’ 4-point questions and ’30’ 3-point questions in the math test.

#### Explanation:

Sophia’s math test is worth 130 points and has 40 problems. Each problem is worth either 4 points or 3 points. How many of each question type were on the test? The test had 30 4-point questions and 10 3-point questions. The test had 10 4-point questions and 30 3-point questions. The test had 28 4-point questions and 12 3-point questions. The test had 25 4-point questions and 10 3-point questions

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