TSIA2 Algebra Fundamentals 3

Question 1

Solve the system: x + y = 10 and x - y = 4. What is x?

Accepted Answer

x = 7

Answer

Adding the equations gives 2x = 14, so x = 7.

Question 2

What is the simplified form of (3x²y)(4xy³)?

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3×4=12) and add exponents: x^(2+1)=x³ and y^(1+3)=y⁴.

Question 3

A store marks up items by 25%. If an item costs the store $48, what is the selling price?

Accepted Answer

$60

Answer

Selling price = 48 × 1.25 = $60.

Question 4

Which of the following is a factor of x² - 9x + 18?

Accepted Answer

(x - 3)

Answer

x² - 9x + 18 = (x - 3)(x - 6), so (x - 3) is a factor.

Question 5

What is the solution to |2x - 4| = 10?

Accepted Answer

x = 7 or x = -3

Answer

Set 2x - 4 = 10 (x = 7) and 2x - 4 = -10 (x = -3).

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test