Q: Which of the following is the correct prime factorization of $$60$$?

$$2 \times 2 \times 3 \times 5$$

Question 1

Which of the following numbers is a prime number?

Accepted Answer

$$17$$

Question 2

What is the least common multiple (LCM) of $$12$$ and $$18$$?

Accepted Answer

$$36$$

Question 3

Simplify the expression: $$\left| -7 \right| + \sqrt{49}$$

Accepted Answer

$$14$$

Question 4

Which of the following is the correct prime factorization of $$60$$?

Accepted Answer

$$2 	imes 2 	imes 3 	imes 5$$

Question 5

Evaluate the expression: $$2^3$$ 	imes $$3^2$$

Accepted Answer

$$36$$

Question 6

Which of the following is the solution to the equation $$3x - 7 = 11$$?

Accepted Answer

$$x = 6$$

Question 7

What is the degree of the polynomial $$4x^3$$ - $$2x^2 + 7x - 5$?

Accepted Answer

$$3$$

Question 8

Factor the expression: $$x^2 - 9$

Accepted Answer

$$(x + 3)(x - 3)$$

Question 9

Which of the following is the equation of a line with slope $$2$$ and $$y-$$intercept $$-3$$?

Accepted Answer

$$y = 2x - 3$$

Question 10

Given $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \circ g)(2)$$?

Accepted Answer

$$9$$

Question 11

Which of the following graphs represents an even function?

Accepted Answer

$$y = x^2$

Question 12

What is the vertex of the quadratic function $$f(x) = (x - 2)^2$ + 3$$?

Accepted Answer

$$(2, 3)$$

Question 13

Solve the quadratic equation $$x^2 - 5x + 6 = 0$.

Accepted Answer

$$x = 2, x = 3$$

Question 14

Which of the following is the domain of the function $$f(x) = \frac{1}{x-4}$$?

Accepted Answer

$$x 
eq 4$$

Question 15

If a function $$f(x) is $$decreasing on the interval $$(-\infty, 0)$$, which of the following statements is true?

Accepted Answer

$$f(x)$$ decreases as $$x$$ moves from left to right on $$(-\infty, 0)$$

Question 16

Which transformation will shift the graph of $$y = x^2$ up by 4$ units?

Accepted Answer

$$y = x^2$ + 4$$

Question 17

A ball is thrown upward and its height in meters after $$t$$ seconds is given by $$h(t) = -5t^2$ + 20t + 2. $$What is the maximum height reached by the ball?

Accepted Answer

$$22$$ meters

Question 18

Which of the following is the correct factorization of $$x^2 + 6x + 9$?

Accepted Answer

$$(x + 3)^2$

Question 19

If $$f(x) = 2x + 1$$ and $$g(x) = x - 3$$, what is $$(f + g)(4)$$?

Accepted Answer

$$6$$

Question 20

Which of the following equations represents a line parallel to $$y = 3x + 2$$?

Accepted Answer

$$y = 3x - 5$$

Math 102: Comprehensive Study Guide and Tentative Schedule (Spring 2026)

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