TSIA2 Boot Camp - Mastering Quadratics, Polynomials, Functions

Multiple Choice

What are the solutions to the equation |2x - 5| = 9?

• x = 7 and x = -2

• x = 2 and x = -7

• x = 5 and x = -5

• x = 9 and x = -9

Multiple Choice

What are the solutions to the equation $$4+\sqrt[]{2x+3}=9$$ ?

• 25

• 22

• 11

• 5

Multiple Choice

What is the purpose of factoring in mathematics?

• To break down an expression into parts that can be multiplied to get the original

• To add numbers together

• To divide numbers into equal groups

• To find the area of a shape

Multiple Choice

What is an extraneous solution, and how can you identify one when solving equations?

• A solution that satisfies the original equation

• A solution that does not satisfy the original equation when substituted back

• A solution that is always positive

• A solution that is always negative

Multiple Choice

What are all the solutions to the equation (x + 4)(x - 2) = -9?

• x = -4; x = 2

• x = 4; x = -2

• x = 1; x = -1

• x = -1

Multiple Choice

In the xy-plane, the graph of the equation y = -(x+10)² intersects with the equation y = -36 at two points A and B. What is the length of AB?

• 12

• 16

• 20

• 26

Multiple Choice

Which of the following is equivalent to (x+3)²(2x−1)?

• 2x³ + 12x² + 11x − 9

• 2x³ + 11x² + 12x − 9

• 2x³ + 13x² + 13x + 9

• 2x³ + 11x² + 12x + 9

Multiple Choice

Find (-5q² + 6q + 7) – (-q² + 4q) = ?

• −6q² + 10q + 7

• −4q² +10q + 7

• −6q² + 2q + 7

• -4q² + 2q + 7

Multiple Choice

Let f(x) = 3x² − 4x + 2. What is the value of f(−2)?

• 24

• 22

• 8

• -12

Multiple Choice

A membership at Rocky Climbing Gym costs $65 per month plus an initial $45 application fee. Macenna gets a 7-month membership. How much did she pay?

• $110

• $380

• $500

• $770

Multiple Choice

The graph of y = f(x) is shown in the xy-plane. Which of the following equations could define f(x)?

• f(x) = (x-5)(x+1)

• f(x) = -x² - 6x - 5

• f(x) = x² + 5

• f(x) = x² + 6x – 5