Midterm1Math3BFall24

What must you do during the midterm exam for Math 3B Fall 2024?

You must do the midterm yourself, with no help from anyone else, and cannot use any books, notes, or calculators.

What is the importance of showing your work in the exam?

No credit will be given for unsupported answers.

How should solutions be written in the midterm?

Solutions must be written clearly and legibly; illegible solutions will not receive credit.

What is the GCF of the expression 24y^3x^6 + 36y^3x^3 + 4y^6x^2?

The GCF is 4y^3x^3.

How do you factor out the fractional/negative exponents in the expression 2x(x − 2)^(9/5) − 3(x − 2)^(-1/5)?

Factor out (x − 2)^(-1/5).

What is the slope of a line perpendicular to f(x) = 3x − 2?

The slope is -1/3.

How do you express an equation of a line in slope-intercept form?

The equation is written as y = mx + b.

What is the domain of g(t) = √t - 2/(t^2 - 7t + 12) in interval notation?

The domain is [0, 2) ∪ (2, 7).

What is the range of h(t) = |t + 6| + 4?

The range is [4, ∞).

How does the number of chocolate bars relate to the number of bags of toffees sold according to the problem statement?

The number of chocolate bars sold was 3 more than twice the number of bags of toffees.