Introduction to Algebra — Solutions

Full worked solutions, with method and final answer for every part.

Question 1

(a)Multiply each term inside the bracket by 3.

6x − 15

Question 2

(a)Take out the highest common factor of 6 and 9, which is 3.

3(2x + 3)

Question 3

(a)Substitute x = 4: 2×(4)² − 3×(4) = 2×16 − 12.

y = 20

Question 4

(a)Use FOIL: x²+5x+3x+15.

x² + 8x + 15

Question 5

(a)Multiply 2x by each term in the bracket.

6x² − 8x

Question 6

(a)a² = 4, b² = 9 (note: squaring −3 gives a positive result).

4 − 9 = −5

Question 7

(a)Take out the common factor 4.

4(x + 2)

Question 8

(a)Collect like terms: x-terms (5x−2x) and y-terms (3y+y).

3x + 4y

Question 9

(a)Substitute directly into the formula.

2(7+3) = 20

Question 10

(a)Use FOIL: 2x²+8x−x−4.

2x² + 7x − 4

Book a free trial class

Tell us a little about your requirement.