Polynomials and functions

The algebra and functions questions include rewriting expressions and matching the same relationship shown different ways.

Try 10 timed questions free

Union Aptitude PrepPolynomials and FOIL

x + 5
3(x + 5)(x − 2)

3(x + 5)(x − 2)
= 3(x² − 2x + 5x − 10)
= 3(x² + 3x − 10)
= 3x² + 9x − 30

PolynomialsA polynomial is an expression made of terms, such as x + 5. Here, x and 5 are the terms.The taskAn official aptitude sample asks you to multiply polynomials like these.Count termsYou see x + 5 in an expression. Its two terms make it a binomial. A monomial has one term.

Lessons in this chapter

3 lessons, about 5 minutes each

Sample questions

From the class’s practice bank. Pick an answer, then check it.

Question 1

Solve: −5x − 6 ≥ −41

x ≥ −7
x ≤ −7
x ≤ 7
x ≥ 7

Show the answer

C. x ≤ 7. Add 6: −5x ≥ −35. Divide by −5. Dividing by a negative number flips the sign, so ≥ becomes ≤: x ≤ 7. Keeping ≥ is the trap.

Question 2

3 + 8 × 9 − 42 ÷ 6 = ?

Show the answer

D. 68. Multiply and divide first: 8 × 9 = 72, 42 ÷ 6 = 7. Then 3 + 72 − 7 = 68. Working strictly left to right gives 50.

Question 3

11 + 6 × 7 − 10 ÷ 5 = ?

Show the answer

D. 51. Multiply and divide first: 6 × 7 = 42, 10 ÷ 5 = 2. Then 11 + 42 − 2 = 51. Working strictly left to right gives 107.

The full class, $39 once.

Paid once, no subscription. Ask for a refund within 7 days of buying if you’ve done less than 25% of the class.

Number series trainer
Algebra & functions with worked steps
Reading comprehension sets

Try 10 timed questions free

Not affiliated with IBEW, NECA, ETA or any JATC. Original practice questions only.

Polynomials and functions

Lessons in this chapter

Sample questions

The full class, $39 once.

More from Union Aptitude Prep